planar curves

#1 Planar Curves - Numericana (cached)
http://home.att.net/~numericana/answer/curve.htm

A catalog of famous planar curves. Discussion of a few special curves and splines. ... Classic Curves and Surfaces in the "National Curve Bank" of Gustavo Gordillo. ...

#2 Generating Section Planar Curves with the MicroScribe in Rhinoceros (cached)
http://www.immersion.com/digitizer/docs/sectionplanarcurves.pdf

The Section Planar Curve tool allows users to define a series of virtual planes ... To see the Section Planar Curves icon launch the 3-D Digitizing or MicroScribe ...

#3 Plotting Planar Curves (cached)
http://www.math.udel.edu/teaching/course_materials/driver/node11.html

Planar curves are given in one of the three forms - explicitly ... These curly brackets are not necessary (but may be used) when plotting a single curve. ...

#4 two dimensional curves (cached)
http://www.2dcurves.com/

... curves ... two-dimensional mathematical curves. You can find a curve in five ways: ... algebraic curves are a polynomial in x and y. line (1st degree) conic ...

#5 Multiple View Geometry of Non-planar Algebraic Curves (cached)
http://www.cs.huji.ac.il/~shashua/papers/jeremy-iccv01.pdf

straint of two projections of a general (non-planar) alge- braic curve. ... curve features, especially non-planar algebraic curves of. general degree. ...

#6 On calibration and reconstruction from planar curves (cached)
http://www.cs.huji.ac.il/~shashua/papers/jeremy-eccv00.pdf

3D reconstruction of a planar algebraic curve from two views. ... properties about two images of the same planar curve useful for the rest of our. work. ...

#7 An Intuitive and Algebraic Approach to Planar Curvature Math 431 DUE: AUGUST 31, 2005 (cached)
http://faculty.gvsu.edu/dickinsw/Pew/PlanarCurvature.pdf

On the curve given below, ﬁnd the places where the planar curvature is largest, ... nd the absolute value of the curvature of the following planar curves. ...

#8 Interactive Curve Design using Digital French Curves (cached)
http://www.dgp.toronto.edu/~karan/pdf/french.pdf

which digital French curves, represented by planar cubic NURBS ... technique for approximating a planar parametric curve by a small. set of elliptic arcs. ...

#9 CiteULike: On planar curve representation (cached)
http://www.citeulike.org/user/witherj/article/1117857

On planar curve representation. Image Processing, 1994. Proceedings. ... curves, is developed for extracting significant curvature points on a planar curve. ...

#10 On Sampling Closed Planar Curves and Surfaces (cached)
http://www-math.cudenver.edu/~opoliann/papers/spc.pdf

In this paper we consider the problem of sampling a closed planar curve or a 3D surface. ... a general background about planar curves. Its purpose is to ﬁx ...

#11 A Framework for Drawing Planar Graphs with Curves and Polylines (cached)
http://www.ics.uci.edu/~goodrich/pubs/gw-gd.pdf

complexity measures for drawing planar graphs with polylines and curves. ... to articulating this framework for curve and polyline drawings, we also describe ...

#12 Special Plane Curves: Naming and Classification of Curves (cached)
http://xahlee.org/SpecialPlaneCurves_dir/Intro_dir/familyIndex.html

Curve Family Tree. Related Web Sites. Classification of Curves ... curves covered here are such that when you keep magnifying parts of the curve, ...

#13 Planar graph - Wikipedia, the free encyclopedia (cached)
http://en.wikipedia.org/wiki/Planar_graph

... every edge to a plane curve, such that each curve has two extreme points, which coincide with the positions of its end nodes, and all curves are disjoint except ...

#14 Visual Dictionary of Special Plane Curves (cached)
http://xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html

Bezier Curve. Methods of Generating New Curves ... Bell Curve (Gaussian Normal curve) fractal curves: dragon curve, flowsnake, ...

#15 Creating Principle 3D Curves with Digital Tape Drawing (cached)
http://www.billbuxton.com/CHI02TapeDrawing.pdf

2D planar curves while typically the principal characteristic ... non-planar 3D primary curves and ... First, while we can simply create a new depth curve ...

#16 Metamorphosis of Planar Parametric Curves via Curvature Interpolation (cached)
http://www.cs.technion.ac.il/~tess/publications/CurvMorph.pdf

... the problem of metamorphosis interpolation between two freeform planar curves. ... planar curve C(s) up to a rigid motion transformation. ...

#17 SLEVEs for planar spline curves (cached)
http://www.cise.ufl.edu/~xwu/papers/CrvSleve.pdf

Given a planar spline curve and local tolerances, a matched pair of polygons is computed ... to enclose a planar cubic curve are illustrated in Figure ...

#18 Sampling Planar Curves Using Curvature-Based Shape Analysis (cached)
http://www.cs.technion.ac.il/~tess/publications/curve_sampling.pdf

the mathematical background on diﬀerential geometry of planar curves. ... states that the curvature signature function, κ(s), of a planar curve, C(s) ...

#19 An Introduction to Planar Curve Compression (cached)
http://www-static.cc.gatech.edu/~bwhitley/7491/final_paper.pdf

Planar curves are often represented as a series of 2D. points connected by edges. ... sent smooth curves is usually large. Often it is beneﬁ- cial to ...

#20 Planar algebra - Wikipedia, the free encyclopedia (cached)
http://en.wikipedia.org/wiki/Planar_algebra

In mathematics, planar algebras first appeared in the work of Vaughan Jones on ... with a collection of oriented non-intersecting curves lying in the remaining ...

#21 Creating Principal 3D Curves with Digital Tape Drawing (cached)
http://www.dgp.toronto.edu/~tovi/papers/chi2002principle3dcurves.pdf

2D planar curves while typically the principal characteristic ... a system for creating 3D curves by first drawing a new curve ...

#22 Hierarchical Space Partitioning for Planar Curve Compression (cached)
http://www-static.cc.gatech.edu/~bwhitley/7491/report.pdf

a planar curve, represented by an ordered list of ... the curves' points are evenly distributed, and a hi ... splitting axis, but for most smooth curves the count ...

#23 Rhino Surfaces (cached)
http://www.thermoanalytics.com/support/meshing/mesh-rhino-efficient.html

... of one curve to the end of another, this will create a continuous ... These curves must be near perfectly planar and continuous for the command to work. ...

#24 Check Model improvements (cached)
http://www.alias.com/eng/support/studiotools/documentation/WhatsNew/Modeling13.html

Check for surface and planar curve waviness ... of surfaces or planar curves, select the Surface or Planar Curve Waviness option. ...

#25 Curve Edit > Create > Combine curves (cached)
http://www.alias.com/eng/support/studiotools/documentation/Reference/CurveEditCreateCombinecurves.html

Creates a 3D curve from two planar curves representing orthogonal projections. ... curve creates the curve by projecting the two planar curves into a 3D curve. ...

#26 Gears - Numericana (cached)
http://home.att.net/~numericana/answer/gears.htm

Planar curves rolling without slipping while rotating about two fixed points. ... The planar curve corresponding to its cross-section in the case of a ...

#27 CJM - Enriques Diagrams and Adjacency of Planar Curve Singularities (cached)
http://journals.cms.math.ca/cgi-bin/vault/view/alberich3335

... equisingularity types of planar complex curve singularities in terms of ... e., singular curves of type mathcal{D}' that can be deformed to a curve of type ...

#28 Storage and Retrieval of Cases on the Basis of Planar Curves (cached)
http://www.cs.umn.edu/tech_reports_upload/1992/TR_92-69_Storage_and_Retrieval_of_Cases_on_the_Basis_of_Planar_Curves.html

... Report. Storage and Retrieval of Cases on the Basis of Planar Curves ... the basis of functional features that can be defined in terms of planar curves. ...

#29 A Folding Index of 2D Curves (cached)
http://i.cs.hku.hk/~dmyan/papers/CAD04&folding.pdf

... index is proposed for describing the degree of folding of a planar curve segment. ... a simple measure to characterize planar curves in terms of the degree ...

#30 Fourier domain representation of planar curves for recognition in multiple views (cached)
http://www1.cs.columbia.edu/~sujit/Papers/PatternRecognition04.pdf

... domain representation of planar curves for recognition. in multiple ... Our method can additionally compute the correspondence between the curve points ...

#31 An Experimental Study of Point Location in General Planar Arrangements (cached)
http://www.math.tau.ac.il/~danha/papers/landmarks.pdf

rangements of arbitrary planar curves, including ... Given a set C of n planar curves, the arrangement ... A conic curve is an algebraic planar curve of degree 2. ...

#32 Integrable geometric evolution equations for curves (cached)
http://math.cofc.edu/faculty/ivey/contemp3.pdf

equations for planar curves, using necessary conditions derived by ... Which other curve ﬂows, either planar or in three dimensions, are completely in ...

#33 Skeching Free-form Surfaces Using Network of Curves (cached)
http://www.ics.uci.edu/~pablo/files/sketch.pdf

tund object is generated using that planar closed curve and ... the capability of drawing non-planar curves on that surface. ...

#34 Geometric Analysis of Continuous, Planar Shapes (cached)
http://www.math.fsu.edu/~mio/research/emmcvpr03/emmcvpr03.pdf

representations of closed, planar curves and Section 3 studies the diﬀerential ... corresponding curve in the plane. Since shapes are invariant to planar ...

#35 curve definition (cached)
http://www.2dcurves.com/definition.html

... dimensional curves, curves that are lying in a plane, so-called planar curve s. ... all curves I describe are differentiable: see e.g. the blancmange curve. ...

#36 Analysis of Planar Shapes Using Geodesic Paths on Shape Spaces (cached)
http://www.math.fsu.edu/~mio/research/shapes/shapes.pdf

... analyzing shapes of planar, closed curves, we propose di ... in which the curve is traversed. Because we are primarily interested in simple closed curves, ...

#37 On the Asymptotic Number of Plane Curves and Alternating Knots (cached)
http://www.expmath.org/expmath/volumes/13/13.4/Schaeffer.pdf

... planar maps, plane curves ... Since approximate counting or sampling planar curves with ... curve as the number p = 2p of arcs between crossings. ...

#38 The planar radiosity equation and its numerical solution (cached)
http://www.cs.uiowa.edu/ftp/atkinson/rdsty-planar.pdf

Γ is a planar curve. It is not necessarily connected, ... 1; otherwise the curve is said to be occluded. Physically for occluded. curves, shadows' occur. ...

#39 MINIMAL MODELS FOR ELLIPTIC CURVES (cached)
http://www.math.lsa.umich.edu/~bdconrad/papers/minimalmodel.pdf

... an elliptic curve over K, and let W be an arbitrary planar integral Weierstrass model. ... a planar embedding is to imitate the proof that relative ...

#40 PTC: Product What's New: Radial Path Planar Curves (cached)
http://www.ptc.com/appserver/wcms/relnotes/note.jsp?im_dbkey=21275

An option to build radial-path, planar curves has been added to the Planar Curve tool. ... along the path curve. Multimedia. Images. Radial Path Planar Curves ...

#41 New Approximation Methods for Planar Oﬀset and Convolution Curves (cached)
http://digitalmedia.yonsei.ac.kr/papers/cagd.pdf

volution of planar curves. These methods can be used as fundamental ... sion detection of planar curved objects. Using quadratic curve approx ...

#42 Edgar Jackson Fuller, Jr. The Geometric and Topological Structure of Holonomic Knots (Under the direction of Clinton... (cached)
http://www.math.wvu.edu/~ef/preprints/thesis.pdf

of planar curves which are projections of holonomic knots are summarized in the ... 2) Any planar curve satisfying the conditions a) - d) can be lifted to ...

#43 Robust Computing and CGAL: Projects at TAU - Lower Envelopes of Planar Curves (cached)
http://www.cs.tau.ac.il/CGAL/Projects/lower_env.php

Given a set of planar curves, which can be broken into x-monotone pieces and ... thus we allow users to work with practically any family of planar curves. ...

#44 Testing the Equivalence of Planar Curves (cached)
http://alexandria.tue.nl/extra2/200111410.pdf

Testing the equivalence of planar curves / by Sander M. van Rijnswou. ... relatively small examples such as quartic planar curves. Invariants are used in areas ...

#45 Efficient piecewise linear approximation of space curves using chord and arc length (cached)
http://www.isd.mel.nist.gov/documents/horst/CAL_Vision96.pdf

Planar curve approximation methods have received ... Piecewise linear planar curve approximation has been ... They also limit themselves to digital planar curves. ...

#46 IngentaConnect Translational Covering of Closed Planar Cubic B-Spline Curves (cached)
http://www.ingentaconnect.com/content/bpl/cgf/2006/00000025/00000004/art00010

Translational Covering of Closed Planar Cubic B-Spline Curves ... on B-spline curve envelopes, we bound the distance from the spline curve to its approximation. ...

#47 Customer PTC E-Newsletter (cached)
http://www.ptc.com/carezone/archive/newsletters/083104_a.pdf

... planar curves has been added to the Planar Curve tool. ... also drag the plane along the path curve. Radial Path Planar Curves. Customer PTC E-Newsletter ...

#48 Advanced Surfacing -- Covering (cached)
http://www.csi-concepts.com/DemoFolder/AdvancedCoveringTutorial.pdf

... surface modeling kernel uses a N-Sided covering algorithm for non planar curves. ... project curve to plane tool, you should check your curves for connec ...

#49 3D Freeform Surfaces from Planar Sketches using Neural Networks (cached)
http://www.jooneworld.com/documents/3DFreeformSurfacesFromPlanarSketches_Khan2006.pdf

this paper, the planar curves are constrained to lie in the x-z or the y-z planes and their ... a planar curve is shown in Fig 1. Each curve was governed ...

#50 [math/0311062] Planar dimers and Harnack curves (cached)
http://www.arxiv.org/math.AG/0311062

Planar dimers and Harnack curves. Authors: Richard Kenyon, Andrei Okounkov ... also prove that the space of Harnack curve of given degree is homeomorphic to a ...

#51 Shoe Tutorial (cached)
http://www.rhino3d.com/tutorials/howto/miri_shoe/shoe_tutorial.htm

... curves in the red layer were made with the Crv2Views command using one planar ... The original shoe was created with a more planar curve as the lower rail. ...

#52 Curvature (cached)
http://www.citr.auckland.ac.nz/~rklette/Books/MK2004/pdf-LectureNotes/21slides.pdf

... Curvature of Planar Curves. Curvature. curvature ... Lecture 21: Curvature of Planar Curves. A parameterized arc or curve γ is given at positions γ(t) (see ...

#53 last change: 01oct00 spline curves (cached)
http://pages.cs.wisc.edu/~deboor/412/curves.pdf

spline curves. A planar curve is, by deﬁnition, the continuous image of some interval [a. ... interpolation techniques to construct a curve that passes ...

#54 Computer Graphics Group (cached)
http://www.cs.umanitoba.ca/~graphics/

... of Cornu spirals in drawing planar curves of controlled curvature", Journal of ... "Planar G2 transition with a fair Pythagorean hodograph quintic curve", Journal ...

#55 ALGORITHMS FOR SPATIAL PYTHAGOREAN-HODOGRAPH CURVES (cached)
http://mae.ucdavis.edu/~farouki/phspace.pdf

The planar PH curves are most conveniently expressed in ... The offsets (or parallels) to any planar PH curve admit an exact rational ...

#56 Planar curves (cached)
http://www.ualberta.ca/MATH/gauss/fcm/Utilities/Plotter/Plotter.htm

Planar Curves Plotter. Help! ...

#57 DOE Document - Planar Curve Representation of Many-Body Systems and Dynamics (cached)
http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=467399

... to represent many-body systems of arbitrary dimensionality by planar curves. ... The American Physical Society} Planar Curve Representation of Many-Body ...

#58 An Exact, Complete and Efﬁcient Implementation for Computing Planar Maps of Quadric Intersection Curves (cached)
http://www.mpi-inf.mpg.de/~kettner/pub/quadrics_scg_05.pdf

... curves (one-curve events) as well as all inter- section points of pairs of curves (two-curve ... Determining the planar map of intersection curves on a ...

#59 Planar Curve Explorer (cached)
http://www.math.tu-berlin.de/~gunn/webstart/PlanarCurveExplorer/PlanarCurveExplorer.jnlp

Charles Gunn, TU Berlin, Math DepartmentPlanar Curve ExplorerAn application for exploring planar curves ...

#60 Detection of High Curvature Points in Planar Curves (cached)
http://visual.ipan.sztaki.hu/corner/cornerweb.html

... for detection of corners and other high curvature points in planar curves. ... a triangle with specified opening angle and size can be inscribed in the curve. ...

#61 Approximate Implicitization of Planar Parametric Curves using Quadratic Splines (cached)
http://www.mmrc.iss.ac.cn/pub/mm21.pdf/gao2.pdf

... direction of the parametric curve with simple computation using quadratic curves. ... to give an approximate implicitization method for a planar. curve. ...

#62 Geometric Dilation of Closed Planar Curves: New Lower Bounds (cached)
http://web.informatik.uni-bonn.de/I/publications/egk-gdcpc-04ii.pdf

Given two points on a closed planar curve, C, we can divide the length of a shortest ... the dilation of open planar curves that cannot meander too. wildly. ...

#63 black.csl.uiuc.edu/~weihong/Publications/ECCV04-Poster.ppt (cached)
http://black.csl.uiuc.edu/~weihong/Publications/ECCV04-Poster.ppt

Reconstruction of Planar Symmetric Curves from a Single View. The central line of the planar curves in the image is determined by connecting ...

#64 FREE-FORM PLANAR CURVE TRACKING USING RELATED POINTS (cached)
http://www.ee.bilkent.edu.tr/~signal/defevent/papers/cr1836.pdf

object whose boundary can be described by a planar alge- braic curve. ... algebraic curves. Figure 1 A group of 2D objects and their free-form 3L curve mod ...

#65 Tangential Symmetries... (cached)
http://members.tripod.com/vismath/wegner/

Tangential Symmetries of Planar Curves and Space Curves ... In the case of planar curves reflectional or rotational symmetries are ...

#66 Polygonal approximation of digital planar curves (cached)
http://iamwww.unibe.ch/~fki/studentprojects/ongoing.xml

... representation of digital planar curves through dominant point detection ... approximation of chain-coded curves, Pattern Recognition Letters 14, 1993, pp. ...

#67 [math-ph/0304034] On the Asymptotic Number of Plane Curves and Alternating Knots (cached)
http://arxiv.org/abs/math-ph/0304034

... curves are viewed as configurations of loops on a random planar ... Since approximate counting or sampling planar curves with more than a few dozens ...

#68 ABSTRACT (cached)
http://www.lib.ncsu.edu/theses/available/etd-03052003-105549/unrestricted/etd.pdf

First, a problem of sampling planar shape and con- tinuous curves is considered. ... planar curve as that of ﬁnding the class of such curves that are uniquely ...

#69 MASSACHUSETTS INSTITUTE OF TECHNOLOGY 13.472J/1.128J/2.158J/16.940J Computational Geometry Spring Term, 2003 (cached)
http://ocw.mit.edu/NR/rdonlyres/Ocean-Engineering/13-472JComputational-GeometrySpring2003/3981DB26-BEA6-4BB8-A360-B524A1021C81/0/ps4.pdf

Problem 1: Planar parametric curve intersections (15% of ... a program which determines all intersections of two integral planar cubic B' ezier curves as ...

#70 Planar Curve Representation and Matching (cached)
http://www.bmva.ac.uk/bmvc/1998/papers/d055/h055.htm

Planar Curve Representation and Matching. M. Al-Khaiyat, F. Kamangar ... In this paper, we discuss a method for representing and matching planar curves. ...

#71 Linear Feature Based Aerial Triangulation A. Akav, G. H. Zalmanson and Y. Doytsher (cached)
http://www.isprs.org/istanbul2004/comm3/papers/232.pdf

linear features, namely, planar curves and conic sections have ... parameters from free form planar curves. Every planar curve ...

#72 Geometric dilation of closed planar curves: A new lower bound (cached)
http://web.informatik.uni-bonn.de/I/publications/DilationCycles_EWCG04.pdf

... dilation of closed planar curves: A new lower bound ... shown that any simple closed planar curve has di- lation δ(C) π/2, using Cauchy's surface area ...

#73 Sketchpad 3.0 Gallery - Curves (cached)
http://mathforum.org/sketchpad/gsp.gallery/curves/curves.html

Bezier Curves. This curve demonstrates Bezier's description of a cubic. ... a standard representation of non-planar surfaces in computer modeling situations. ...

#74 Trim Planar Faces (cached)
http://www.vx.com/help/0876.htm

Use this command to create a planar face trimmed to a set of bounding curves. ... The curves must form a closed loop in order to create the planar face. ...

#75 Genus and Parametrization of Planar Algebraic Curves (cached)
http://tom.cs.byu.edu/~557/text/ch18.pdf

Planar Algebraic Curves. 18.1. Genus and Parametrization ... The condition under which an implicit curve can be parametrized using rational ...

#76 A Closed-Form Approach to Coupler-Curves of Multi-Loop Mechanisms (cached)
http://www.uwm.edu/People/dhingra/files/couplerjmd.pdf

algebraic curves to linkages, namely, that any planar nth degree ... circularity p intersects a second planar curve of degree n and ...

#77 Keith Price Bibliography Basic Algorithms to Partition Curves (cached)
http://iris.usc.edu/Vision-Notes/bibliography/edge242.html

A Data Reduction Algorithm for Planar Curves, ... Planar curve segmentation for recognition of partially occluded shapes, ICPR90(I: 842-846) ...

#78 Simularity solutions in the theory of curvature driven diffusion along planar curves: I. Symmetric curves expanding... (cached)
http://www.caip.rutgers.edu/~moakher/phys98.html

... driven diffusion along planar curves: I. Symmetric curves expanding in time ... the evolution of a planar curve in the theory of diffusion along curves. ...

#79 Complete, Exact, and Efﬁcient Computations with Cubic Curves (cached)
http://www.mpi-inf.mpg.de/~nicola/Documents/SoCG04_cubics.pdf

compute the arrangement of planar curves provided a num ... curve, which is the subject of Section 6. We turn to pairs of curves. ...

#80 IngentaConnect The moving line ideal basis of planar rational curves (cached)
http://www.ingentaconnect.com/content/els/01678396/1998/00000015/00000008/art00014

Or contact us to report problems with: Subscription access. Article delivery ... bone; Tele-immersive education; Rational curves; Implicitization; Ideals ...

#81 IMA Preprint Series # 2131 (cached)
http://www.ima.umn.edu/~shkwon/papers/quinticPH2006.pdf

planar quintic Pythagorean–hodograph curves is presented. An existence ... and the oﬀset curves at any ﬁxed distance from a PH curve — employed as tool ...

#82 Projective and illumination invariant representation of disjoint shapes (cached)
http://vision.unige.ch/publications/postscript/98/StartchikMilanesePun_eccv98.pdf

such curves into account with one point per curve, so that each ... of planar facets in the scene and on the number of curves belonging to each facet. ...

#83 MA 323 Geometric Modelling Course Notes: Day 21 Three Dimensional Bezier Curves, Projections and Rational Bezier ... (cached)
http://www.rose-hulman.edu/~finn/CCLI/Notes/day21.pdf

... and how these extensions when projected allow one to construct planar. curves. ... the convex hull of the control polyline of this planar Bezier curve. ...

#84 [CK+96] Wavelet descriptor of planar curves: theory and applications (cached)
http://www.cs.umb.edu/~pruet/bib2html/entry-chuang96wavelet.html

#85 Command List (cached)
http://en.wiki.mcneel.com/default.aspx/McNeel/CommandList.html

A list of the commands in Rhino with a short description of what they do. ... Creates a curve from curves that are planar in different views. CrvDeviation ...

#86 1 Introduction (cached)
http://www.ima.umn.edu/preprints/November1995/1360.pdf

of the relevant results on planar curve evolution, following with the level-sets ... closed curves in. the plane (boundaries of planar shapes), where ...

#87 Keith Price Bibliography Piece-Wise Linear Representations from Curves (cached)
http://iris.usc.edu/Vision-Notes/bibliography/edge243.html

An Efficient Algorithm for the Piecewise Linear Approximation of Planar Curves, ... O(N) Partitioning of a Digitized Curve into Digital Straight Segments, ...

#88 SGI TPL (IRIX 6.5: Developer/Perf_PG - Chapter 9. Higher-Order Geometric Primitives) (cached)
http://techpubs.sgi.com/library/tpl/cgi-bin/getdoc.cgi/0650/bks/SGI_Developer/books/Perf_PG/sgi_html/ch09.html

SGI Technical Publications Library ... Planar Curves. A parametric curve in the plane can be thought of as the result of taking a ...

#89 The Diﬀerential Geometry of Curves (cached)
http://robotics.caltech.edu/~jwb/courses/ME115/handouts/curves.pdf

of curves. These results will be immediately applicable to the analysis ... that a regular planar curve can be uniquely deﬁned, up to a rigid body planar ...

#90 Classification of Extremal Curves with 6 Double Points and of Tree-like Curves with 6 Double Points and (cached)
http://www.math.oregonstate.edu/~math_reu/Papers/Juha3-2000.pdf

... like curve can be described by a particular planar tree and ... the region of the curve (or Gauss diagram) in which that vertex of the planar tree lies. ...

#91 Intersection-Free Morphing of Planar Graphs (cached)
http://www.cs.arizona.edu/~kobourov/gmorph.pdf

implemented an algorithm for intersection-free morphing of planar graphs. ... line segments, bends, and curves. Our system is implemented in Java ...

#92 Chapter 9. Higher-Order Geometric Primitives (cached)
http://techpubs.sgi.com/library/dynaweb_docs/nt/SGI_Developer/books/Perf_PG/sgi_html/ch09.html

Planar Curves. A parametric curve in the plane can be thought of as the result of taking a ... Description of a Planar Curve" "Lines in the Plane" ...

#93 CURVATURE OF CURVES AND SURFACES – A PARABOLIC APPROACH (cached)
http://www.math.technion.ac.il/~rl/docs/parabola.pdf

(a) The osculating paraboloid has a planar counterpart, the osculating. parabola to a curve in R ... Geometrically, we deﬁne curvature of a planar curve ...

#94 Application of Spline Implicitization (cached)
http://www.acm.org/sigsam/issac/2004/poster-abstracts/abstract17.pdf

parametric planar curves. A spline implicitization is a partition of the plane into polygonal ... for each these parametric planar curve. Then, using ...

#95 Homepage of Ning Song (cached)
http://www.cs.rice.edu/~nsong/

Normally we represent a rational planar curve in homogeneous form by three ... Moving Lines and Singularities of Rational Planar Curves, 2005, Phoenix, Arizona. ...

#96 Approximation of Digital Curves using a Multi-Objective Genetic Algorithm (cached)
http://csdl2.computer.org/persagen/DLAbsToc.jsp?resourcePath=/dl/proceedings/&toc=comp/proceedings/icpr/2006/2521/02/2521toc.xml&DOI=10.1109/ICPR.2006.276

In this paper, a digital planar curve approximation method based on a multi ... locates breakpoints on the digital curve by minimizing simultaneously the number ...

#97 On An Evolution Problem For Convex Curves (cached)
http://www.math.ecnu.edu.cn/preprint/2003-016.pdf

curves which shortens the length of the evolving curve but expands the area it ... Consider a simple closed planar curve and suppose that it moves ...

#98 Curves (cached)
http://vmm.math.uci.edu/3D-Filmstrip_html/Documentation/DocumentationPages/Curves.html

... the curve changing gradually ("morphing") between the initial and final curves. ... ( By the Fundamental Theorem of Planar Curves, there is a unique such curve. ...

#99 planar graph: Definition and Much More from Answers.com (cached)
http://www.answers.com/topic/planar-graph

... every edge to a plane curve, such that each curve has two extreme points, which coincide with the positions of its end nodes, and all curves are disjoint except ...

#100 Find in a Library: Computer graphics and mathematics (cached)
http://worldcat.org/wcpa/ow/e0a6c12f22457ce1a19afeb4da09e526.html

... intersection of three planes with planar constraints / M. Mukherjee, G. Nagy and ... A geometric approach to Bezier curves / H.-P. Seidel -- Representing and ...

planar curves

#101 Conﬁguration space computation for polyhedra with planar motions (cached)
http://www.cs.purdue.edu/visctr/papers/cspace3d.pdf

structure as the corresponding curve in the other boundary. Two curves have the same structure ... constructed by my planar algorithm [4], which generates ...

#102 2D Arrangements (cached)
http://www.cgal.org/Manual/3.2/doc_html/cgal_manual/Arrangement_2/Chapter_main.html

Given a set of planar curves, the arrangement () is the subdivision of the plane ... The curves in can intersect each other (a single curve may also be self ...

#103 S95 Arial, Bld, YW8, 37 points, 105% line spacing (cached)
http://www.cs.utah.edu/~wmartin/pubs/Concentric.pdf

planar curve? Problem: How to create a parametric. Problem: How ... Non-planar boundary curves. • Extensions to higher dimensions. • Multiscale approaches. ...

#104 Explicit Free-form Curve Interpolation and Error Analysis for NC Machining of Complex Surface Models (cached)
http://www.cadanda.com/V1Nos1to4_28.pdf

Fig. 3. A planar offset curve. 4. CHORDAL DEVIATION OF OFFSET CURVES ... curves, for a planar NURBS curve, (t. h. can be. represented as follows (see Figure 2) ...

#105 Incremental Computation of Planar Maps (cached)
http://ftp.digital.com/pub/Digital/PRL/research-reports/PRL-RR-1.pdf

of B'ezier curves in a planar map are described. ... curves, forward differences, curve intersection, rational arithmetic, planar maps, map ...

#106 Rhinoceros - Features (cached)
http://www.rhino3d.com/features.htm

Create curves: point, line, polyline, polyline on mesh, free-form curve, circle, ... torus, extrude planar curve, extrude surface, cap planar holes, join ...

#107 Approximate parameterization - SINTEF (cached)
http://www.sintef.no/content/page1____6034.aspx

... have difficulties if the implicitly defined curve or surface is only given by ... Planar curves ... curve which approximates the intersection curves of ...

#108 HANDOUT FOR 21-259 (Spring '06): CALCULUS IN 3-DIMENSIONS Instructor: Prof. K. Ramanan (cached)
http://www.math.cmu.edu/~kramanan/surfaces.pdf

equations describing basic planar curves in two dimensions that often arise ... a planar curve is a cylinder. A cylinder is a surface that consists of all lines ...

#109 Duals, Invariants, and the Recognition of Smooth Objects from their Occluding Contour (cached)
http://www-cvr.ai.uiuc.edu/kriegman-grp/publication/papers/eccv00a.pdf

from a camera moving over a trajectory of viewpoints, these HD-curves sweep ... We now deﬁne the HD-curve of a planar curve. PC with regards to a point C ...

#110 Elliptic curves (cached)
http://sunsite.ubc.ca/DigitalMathArchive/Langlands/pdf/KnappReview-ps.pdf

of a projective planar curve. E. deﬁned by an equation of the form (A) y. 2 = 4x. 3. g ... to planar curves deﬁned by an equation quadratic in the ordinate, ...

#111 How to typeset beautiful manuscripts for the European Symposium on Artificial Neural Networks (cached)
http://www.dice.ucl.ac.be/Proceedings/esann/esannpdf/es2006-147.pdf

Planar Curves via Neural Networks ... boundaries that consist of four planar curves are arranged orthogonally. Each curve is ...

#112 Ayam - Features (cached)
http://ayam.sourceforge.net/features.html

... a Revolve tool object has a planar curve as child object and revolves it to ... to skin curves of arbitrary topology (skin an interpolating curve with 4 points ...

#113 7.6 Shape Metamorphosis (cached)
http://www.cs.toronto.edu/~dt/papers/tog94/node28.html

... and patch outline of cylindrical surface terminated by the two planar curves. ... ( d) An intermediate morphed curve obtained as cross section of surface in (c) ...

#114 Fitting B-Spline Curves to Point Clouds by Squared Distance Minimization (cached)
http://www.cs.hku.hk/research/techreps/document/TR-2004-11.pdf

a planar B-spline curve, closed or open, to approximate a target shape deﬁned by ... the shape of some unknown planar curve, which can be open or closed, ...

#115 Coupler Curves of Planar Four-Bar Linkages (cached)
http://www.mcgill.ca/files/cden/couplercurve.pdf

The curve traced by any point of the coupler link of a planar ... A planar. curve is algebraic if it is given by an implicit function F (x, y) = 0, with. F ...

#116 Prof. Steffen Rohde, University of Washington & KITP, SLE and Random Planar Curves (cached)
http://online.itp.ucsb.edu/online/sle06/rohde/

Schedule Aug 23, 2006. SLE and Random Planar Curves ... Begin streaming QuickTime of the whole talk (high bandwidth). (Or, right-click to download the ...

#117 Co-Planar Inc. - Precision Metal Stamping - About Us! (cached)
http://www.co-planar.com/contact.htm

Co-Planar Precision Metal and Mylar Stamping ... 1/4 mile down on the left, in the last driveway before the road curves hard left. ...

#118 PII: S1361-8415(01)00040-8 (cached)
http://people.csail.mit.edu/welg/papers/CURVES2001.pdf

theorem on planar curves shrinking to a point could not be. curve evolution equation ... For the example of planar curves, instead of ...

#119 Transactions of the American Mathematical Society (cached)
http://www.ams.org/tran/2006-358-01/S0002-9947-05-03670-6/home.html

Polygonal invariant curves for a planar piecewise isometry. Author(s): Peter Ashwin; Arek Goetz ... components are invariant curves on which the dynamics ...

#120 Springer Online Reference Works (cached)
http://eom.springer.de/D/d032170.htm

The curvature of a planar curve defined by the equations is given by ... The important concept of the osculating circle is introduced for planar curves. ...

#121 The Southern Graphics Home Page - Tutorials (cached)
http://www.southerngfx.co.uk/general/reviews/rhino2/review.htm

I have included a list in the column to the right that includes all the major ... Below I have detailed the plugins that I have found most useful or interesting. ...

#122 A Computational Geometric Approach to Shape Analysis in Images (cached)
http://books.nips.cc/papers/files/nips16/NIPS2003_VM12.pdf

On the other hand, planar curves that rep ... Regularized curve evolutions and region-based active contours offer alternatives ...

#123 Invariant Signature s from Pol ygonal Approxim ations of Sm ooth Curve s (cached)
http://www.hpl.hp.com/techreports/2000/HPL-2000-131.pdf

Invariant signatures of planar curves are the subject of many research papers 1, 2, 3, 8, 12, ... Generally speaking, in order to describe planar curves under a ...

#124 A Look at Plane Curves - Spring 2007 - Dr. Matthew Conroy (cached)
http://www.math.washington.edu/~conroy/curves/

An excellent piece of software is Planar Curve Explorer. ... derived curves (in particular, evolutes and parallel curves, of a given curve) ...

#125 Orienting a Scribble (cached)
http://www.civilized.com/files/scribble.pdf

intersecting curve can always be traversed without crossing itself. ... planar continuous curves, and moreover we want the curves we consider to ...

#126 Robust Offset strategy on planar (cached)
http://home.so-net.net.tw/lyllaiber/Offset_Robust.htm

Planar Curve Offset is one of the most important geometric topics in CAD/CAM/CNC ... and efficient procedure for offsetting technique on planar curves. ...

#127 A Survey of Venn Diagrams: Graphs Associated with Venn Diagrams (cached)
http://www.combinatorics.org/Surveys/ds5/VennGraphEJC.html

The Planar Dual of a Venn Diagram ... Edges are colored according to the curve to which they belong. ... convince you that the curves in a simple Venn ...

#128 High-Performance Ultra-Wideband Planar Antenna Design 翁金輅 (cached)
http://www.ansoft.com/converge/High-performance-UWB-Planar-Antenna-Design-ProWong-NSYSU.pdf

Planar metal-plate monopoles (2) Considerations of UWB ... Unmarked curves: Measured. Marked curves: Simulated. Simulated 3D pattern (HFSS) NSYSU, Taiwan ...

#129 jeremy yermiyahou kaminski - ResearchIndex document query (cached)
http://citeseer.ist.psu.edu/cis?q=Jeremy+Yermiyahou+Kaminski

Multiple View Geometry of Non-planar Algebraic Curves - Kaminski, Fryers, Shashua. ... and Reconstruction From Planar Curves - Kaminski, Shashua (2000) ...

#130 Soap ﬁlms spanning rectangular prisms (cached)
http://euler.slu.edu/Dept/Faculty/huff/rect-prisms.pdf

the second fundamental form on the surface, while a curve is asymptotic if ... boundary consists of planar curves and straight line segments. The straight ...

#131 THE WEINSTEIN CONJECTURE FOR PLANAR CONTACT STRUCTURES IN DIMENSION THREE (cached)
http://www.mth.msu.edu/~abbas/planar.pdf

curve equation should be the key to a proof of the general Weinstein conjecture in ... From now on, we will restrict ourselves to planar curves, i.e. ...

#132 Details ( new in 3.0 ) (cached)
http://www.alienware.com/Brochure_Pages/software/Rhino3DFeatures.pdf

Create curves: point, line, polyline, polyline on mesh, free-form curve, circle, arc, ... orient, orient planar object on curve, flow along curve, smooth, ...

#133 VectorWorks Integrated Solid/Surface Modeling Technology (cached)
http://www.nemetschek.net/3dpowerpack/features.php

VectorWorks, FUNDAMENTALS, ARCHITECT, LANDMARK, MACHINE DESIGN, SPOTLIGHT, and DESIGNER are affordably priced, cross ... curve, from planar curves, and ...

#134 Track Planarity Testing and Embedding (cached)
http://www.infosun.fim.uni-passau.de/~chris/down/TrackPlanarity.pdf

It is track planar if there are permutations of the ver ... level such that edges are drawn as weak monotone curves without edge or vertex. crossings. ...

#135 [MM+92] A theory of multiscale, curvature-based shape representation for planar curves (cached)
http://www.cs.umb.edu/~pruet/bib2html/entry-mokhtarian92theory.html

A theory of multiscale, curvature-based shape representation for planar curves " Journal ... representation for planar curves}, author = {Farzin Mokhtarian ...

#136 Edinburgh Mathematics Programme (cached)
http://www.maths.ed.ac.uk/~derek/Syll/GCV.html

How to determine tangent, normal and curvature of a planar curve. Definition of families of planar curves and construction of their envelopes. ...

#137 NURBS CURVES AND SURFACES TUTORIAL (cached)
http://docs.happycoders.org/orgadoc/graphics/nurbs/article-en.pdf

... what we call the order of the curve, and is always the degree of the ... curves, being either lines or parabolas, which are always planar curves. ...

#138 Curvature Morphology (cached)
http://www.lems.brown.edu/vision/people/leymarie/Refs/CompVision/ScaleSpace/tr_cim_88_26.pdf

The notion of curvature of planar curves has emerged as one of the most powerful ... planar curve is uniquely deﬁned by its curvature [11]. Non-regular ...

#139 Application of GIS in healthcare using asymmetric isochrones and different digitized planar curves (cached)
http://www.gisdevelopment.net/application/health/overview/mi03119abs.htm

... in healthcare using asymmetric isochrones and different digitized planar curves. Abstract. The purpose of this paper in to apply GIS in the domain of health care to ...

#140 Parametric Kinematic Tolerance Analysis of Planar Mechanisms (cached)
http://www.cs.purdue.edu/visctr/papers/cad97-ptol.pdf

plementation handles planar mechanisms with one degree of ... the contact curves express the contact conditions; contact changes occur at curve endpoints. ...

#141 Improved Lower Bound on the Geometric Dilation of Point Sets (cached)
http://www.win.tue.nl/EWCG2005/Proceedings/10.pdf

Let G be an embedded planar graph whose edges are. curves. ... Result for Closed Curves. We want to prove that a simple closed curve C of ...

#142 Random Planar Curves and Stochastic Loewner Evolution (cached)
http://www.brunel.ac.uk/759/Maths1/JohnCardyAbstract.pdf

Random Planar Curves and Stochastic Loewner Evolution. John Cardy Oxford. ABSTRACT. The random planar curves that occur, for example, as the boundaries of spin ...

#143 Prof. John Cardy, Oxford University & KITP, Conformal Field Theory and Random Planar Curves (cached)
http://online.itp.ucsb.edu/online/sle06/cardy/

Schedule Aug 22, 2006. Conformal Field Theory and Random Planar Curves ... Begin streaming QuickTime of the whole talk (high bandwidth) ...

#144 Feature extraction (cached)
http://www.geocities.com/vienna/2616/node12.html

... ribbon is generated by a planar curve called the ``spine'' or ``directrix'', and ... reliable on hydrofoil shaped curves generated from measured data, ...

#145 The Rhino 3D Tool Box (cached)
http://members.tripod.com/~fyre3d/rhino.htm

sweep along a path, sweep along two rail curves, ... extrude planar curve, extrude surface, cap open. planar end, join freeform surfaces, TrueType text. ...

#146 www.ccs.neu.edu/jpt/jpt_2_3/fractals/extra/HilbertSlides.ppt (cached)
http://www.ccs.neu.edu/jpt/jpt_2_3/fractals/extra/HilbertSlides.ppt

Hilbert Curve at Recursion Level 2. Hilbert Curves. Slide 4. Hilbert Curve at ... Hilbert at Level 1 as a Visitor to a Planar Tiling. Hilbert Curves. Slide 17 ...

#147 A Survey of Venn Diagrams: Open Problems (cached)
http://www.combinatorics.org/Surveys/ds5/VennOpenEJC.html

That this is possible if the curves are allowed to intersect in segments was ... Slightly easier, find a 6-Venn diagram in which each curve is a trapezoid. ...

#148 PBS Cyber School: Go Figure: A Fun Approach to Olympic Figure Skating (cached)
http://pbscyberschool.pbs.org/teach/lesson45_1.html

... proportion, pi, planar curves, simple curves, closed curves, convex figures, ... Distinguish between planar curves, simple curves, closed curves, and concave and ...

#149 Moving into Space (cached)
http://www.cs.mtu.edu/~shene/COURSES/cs3621/LAB/curve/space.html

Working with drawing canvas only allows you to create curves in the xy-plane. ... To move a planar curve into space, the first step is perhaps rotating the scene ...

#150 Virtual Math Labs: Curves and Surfaces (cached)
http://www.math.tu-berlin.de/geometrie/lab/curvesnsurfaces.shtml

This application allows the user to explore planar curves: Specification by ... Optional display of evolute curve. Display of curvature and torsion graphs ...

#151 Constructing Medial Axis Transform for Free-form Trimmed Surfaces (cached)
http://www.cadanda.com/V2Nos1to4_33.pdf

The medial curve respective two given curves A, B ... Even in 2D planar case if the boundary curves are discretized the the output ...

#152 Math Tools (cached)
http://mathforum.org/mathtools/sitemap2/c/

Slope of a curve at a point [7] Tangent line [37] Local ... Planar curves - polar form [2] Planar curves - vector form. Velocity and accel. vectors [1] ...

#153 Singular Points of Plane Curves - Cambridge University Press (cached)
http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780511262234

... simplest singularities of planar curves, e.g. where the curve crosses itself, or ... text on singularities of plane curves, and a valuable reference book, too. ...

#154 Maya Tools (cached)
http://web.alfredstate.edu/ciat/tutorials/basicModeling.htm

... curve, revolved surface, lofted surfaces, Planar Srufaces, and attaching curves and nurbs. ... you have created the curve or curves, you have the option of ...

#155 FINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS (cached)
http://www.math.okstate.edu/~jaco/Documents/Planar-Word.pdf

The isotopy class of a non contractible simple closed curve in a torus is called ... all of the boundary components of our planar surfaces are essential curves in ...

#156 Sheet 28: Planar graphs (cached)
http://www.math.uchicago.edu/~abert/graph3.pdf

curves. Exercise 2 Find a graph that is not planar. Draw some connected planar graphs. ... Exercise 3 A planar graph is a tree if and only if it has one face. ...

#157 The Self-Linking of Torus Knots (cached)
http://www.math.wvu.edu/~ef/preprints/torusslV2.pdf

... form the cornerstone of the analysis of space curves using. planar knot diagrams. ... plane of projection at any inﬂection of the planar projection curve so ...

#158 Extreme forms of real algebraic varieties (cached)
http://www.aimath.org/pastworkshops/extremerealrep.pdf

This question is answered for planar curves and, during the workshop ... curve count (given in the zero genus case by J.-Y. Welschinger) to higher genera. ...

#159 ARRANGEMENTS OF NESTED CURVES (cached)
http://www-fourier.ujf-grenoble.fr/~eferrand/AOC.pdf

In this section we forget about planar curves, and we consider the classiﬁcation ... from some planar curve γ. This implies that : Lemma. i. and J ...

#160 Windows 3.x " Math " Undefined (cached)
http://www.bookcase.com/library/software/win3x.math.undef.html

This application is a tool for the visualization of hierarchical planar. curves. A hierarchical planar curve is defined as the path followed by ...

#161 Path Planning for Deformable Linear Objects (cached)
http://www.cs.rice.edu/~mmoll/publications/moll2006path-planning-for-deformable-linear.pdf

Fair curve design focuses almost exclusively on planar. curves. ... so-called free elastic curves: planar ... If the "true" minimal-energy curve is planar, ...

#162 RESEARCH STATEMENT (cached)
http://people.brandeis.edu/~mob/research.pdf

Figure 2. A Planar Immersed Curve for 1 2 + 3 + 1 + 2 + 3 ... We deﬁne twisted link diagrams as marked generic planar curves, where the markings iden ...

#163 NURBS Modeling 1/24/03 (cached)
http://www.jawa9000.com/technical/workshop/nurbs-surfaces.htm

... takes a curves and creates a surface based on revolving the curve from the pivot ... Planar. Create two or more curves that create a closed line or hit ...

#164 Sliced Quadric Surfaces (cached)
http://homepages.gac.edu/~pnichols/miscmath/sliceforms/SlicedQuadrics2002.html

The resulting planar curves are plotted and cut out of flat pieces of paper, and ... in three dimensions from planar curves drawn on the surface by ...

#165 Ablation catheter with multiple flexible curves - Patent 5782828 (cached)
http://www.freepatentsonline.com/5782828.html

An electrophysiology catheter suitable for radiofrequency ablation of cardiac tissue endocardially or epicardially ... planar wire, the relative curve ...

#166 Straightening Soliton Curves (cached)
http://www.case.edu/artsci/math/langer/research/papers/straighten.pdf

... cylindrical coordinates along a soliton curve γ. Γ by quadra ... Quasiperiodic planar curves with nonzero rotation index break symmetry and. evolve in R ...

#167 An involute spiral that matches G (cached)
http://www.maths.dundee.ac.uk/~tgoodman/fig1.pdf

Curves with monotone curvature are called spirals. It is widely accepted that a planar curve ... that the involute of a planar convex curve is a spiral ...

#168 PDE Seminar: Motion by curvature of planar curves with end points moving freely on a line (cached)
http://www.math.ohio-state.edu/node/25779/print

Motion by curvature of planar curves has been well-studied for a long time. ... exists a unique self-similar solution and that the curve shrinks to a point in a ...

#169 Projective and illumination invariant representation of disjoint shapes (cached)
http://vision.unige.ch/publications/postscript/98/StartchikMilanesePun_ivc98.pdf

... geometric arrangements of multiple planar curves, one needs to represent rela ... such curves into account with one point per curve, so that each point is allowed ...

#170 XEROX (cached)
http://www2.parc.com/isl/members/saund/papers/salient-arcs-spl-93-017.pdf

... the contour, and (3) the curve either terminates or changes in ... relying on the identification of significant segmentations of planar curves found in ...

#171 Distance approximations for rasterizing implicit curves (cached)
http://portal.acm.org/citation.cfm?id=174531&coll=portal&dl=ACM&CFID=9955111&CFTOKEN=60148408

... Polynomials for Bounded Algebraic Curve and Surface Fitting, IEEE Transactions ... If you must deal with planar curves that cannot be expressed parametrically (or ...

#172 Self-Approaching Curves (cached)
http://www.pi6.fernuni-hagen.de/publ/tr217.pdf

... upper bound for the detour of planar curves with. increasing chords. ... detour of self-approaching curves, because any such curve from point a to point b ...

#173 Exploring Curved Anatomic Structures with Surface Sections (cached)
http://diwww.epfl.ch/w3lsp/publications/gigaserver/ecaswss.pdf

The extraction of planar sections from volume images is the most ... provided by displaying boundary curves as cylindrical markers ...

#174 Discrete contours in multiple views: approximation and recognition (cached)
http://www1.cs.columbia.edu/~sujit/Papers/Ivc03.pdf

of the discrete curve that is projectively invariant. ... for recognition of planar curves in Fourier domain, Indian Conference ...

#175 Face Shape Editing (cached)
http://www.vx.com/help/0838.htm

You can unfold a face onto a plane which results in a set of planar curves. ... Required Inputs (Morph at Point and Curve Commands) ...

#176 CS507 Project - Computing the Fréchet distance between two polygonal curves (cached)
http://cgm.cs.mcgill.ca/~athens/cs507/Projects/2002/StephanePelletier/

... two-dimensional shapes are given by the planar curves forming their boundaries. ... curves P and Q we have δF(P, Q) ε, exactly if there exists a curve within ...

#177 CGAL Manuals - General Introduction (cached)
http://www.ifh.ee.ethz.ch/sepp/cgal-2.4-mo/

... of Planar Curves. Introduction. Sweep ... Planar Maps of Intersecting Curves ... 2D Planar Maps. 2D Planar Maps of Intersecting Curves. 2D Arrangements ...

#178 A freehand sketching interface for progressive construction of 3D objects (cached)
http://ccsl.mae.cornell.edu/papers/CG05_masry.pdf

sketch, assuming that the curve is planar. ... planar curves can also be reconstructed, provided that ... simple planar curves is the one that causes the mean ...

#179 Algebraic Geometry for CAGD (cached)
http://tom.cs.byu.edu/~557/text/ch16.pdf

... implicitization and inversion of planar curves, and Section 16.5 applies those tools to ... two ways that a planar curve can be deﬁned: parametrically ...

#180 The Geometry Junkyard: 2D Geometry (cached)
http://kmh.ync.ac.kr/comScience/vision/junkyard/2d.html

Curvature of crossing convex curves. ... Schramm considers two smooth convex planar curves crossing at at least three ... Paperfolding and the dragon curve. ...

#181 R Series: R1-7. Spherical Cycloids and Involutes (cached)
http://kmoddl.library.cornell.edu/tutorials/14/

... circle a point on the line traces a curve called an involute (of the circle) ... equations, and pictures of the various forms of these planar curves. ...

#182 Math 211 Math 211 (cached)
http://math.rice.edu/~polking/slides/fall01/lecture40n.pdf

is a closed solution curve. which is the limit set of nearby solution curves. If the ... planar graph. is a collection of points, called. vertices , and non ...

#183 Figure 5.1. (cached)
http://www.cs.berkeley.edu/~daf/book/chapter-5.pdf

The two representations are equivalent in the case of planar curves. ... As in the planar case, the curvature of a twisted curve can be de ned in a number ...

#184 B' EZIER CURVES (cached)
http://www.tsplines.com/resources/class_notes/Bezier_curves.pdf

such a curve into two new B'ezier curves, one of them over the domain ... control points, every degree two curve is planar, even if the control points are ...

#185 Wavelet Descriptor of Planar Curves: Theory and Applications - Image Processing, IEEE Transactions on (cached)
http://sipi.usc.edu/~ortega/WaveletPapers/contour1.pdf

#186 Planar Point -- from Wolfram MathWorld (cached)
http://mathworld.wolfram.com/PlanarPoint.html

... surface is said to be planar if the Gaussian curvature and ... Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. ...

#187 Motivating Geometry ... (cached)
http://www.rose-hulman.edu/~finn/CCLI/materials.htm

Currently only the planar curve materials are available through ... Planar Curve Applets. Approximating Circle. with Bezier Curve. Creating Bezier Curves ...

#188 Methods and systems for generating profile curves of solid models - Patent 6801882 (cached)
http://www.freepatentsonline.com/6801882.html

... generate a two-dimensional profile curve of an electronically represented three ... types of faces, toroidal, conical, planar, cylindrical, or revolved-spline, is ...

#189 3 Utilities Puzzle: Water, Gas, Electricity (cached)
http://www.cut-the-knot.org/do_you_know/3Utilities.shtml

... or another surface, while edges are represented by curves connecting the nodes. ... at all difficult and uses Euler's beautiful formula for planar graphs: ...

#190 Almost Tree-Like Plane Curves (cached)
http://www.math.oregonstate.edu/~math_reu/Papers/Juha2003-2.pdf

The Whitney index of a plane curve is essentially the rotation angle of the tangent vector with ... between the sets of planar A-structures having n edges ...

#191 www.cs.uu.nl/docs/vakken/an/an-planar.ppt (cached)
http://www.cs.uu.nl/docs/vakken/an/an-planar.ppt

A graph is planar if and only if it does not contain the ... Curves. Lines with bends. Adjacencies or intersections of objects. Usual model. Planar graphs ...

#192 Symmetry-Curvature Duality (cached)
http://www.rci.rutgers.edu/~mleyton/symmetry_curvature_duality.pdf

... LEYTON. Figure 2: (a) The SLS construction for two curves c ... that a smooth planar curve is perceptually partitioned into segments at the extrema of ...

#193 How should a snake turn on ice: A case study of the asymptotic isoholonomic problem (cached)
http://cobweb.ecn.purdue.edu/~jianghai/Publication/cdc03_snake.pdf

isoperimetric problem, i.e., ﬁnding the planar curves with a ... horizontal curves: for a horizontal curve γ in R. n+1 , its length. is given by L(γ) ...

#194 Product Feature (cached)
http://www.creative-3d.net/productFeatureDisplay.cfm?content=rhino2

Create curves: point, line, polyline, polyline on mesh, free-form curve, circle, ... torus, extrude planar curve, extrude surface, cap planar holes, join ...

#195 Toward Complete Path Planning for Planar 3R-Manipulators Among Point Obstacles (cached)
http://www.cs.rpi.edu/~trink/Papers/LMTwafr.pdf

2. Type 2: Curves where above all nearby points on one side of the curve ... 2. Calculate the singular curves and build the spatial graph above the planar. graph. ...

#196 MESH Examples (cached)
http://www.msri.org/about/sgp/jim/software/mesh/desc/examp.html

but has three planar curves and one straight line. ( The edge facing to the right is not a planar curve but an artifact of clipping. ...

#197 The Search for Simple Symmetric Venn Diagrams (cached)
http://www.ams.org/notices/200611/fea-wagon.pdf

property that the curves intersect in only ﬁnitely ... a planar graph G, if S is a bond, that is, a minimal ... to rank, and one curve highlighted. ...

#198 DNA Binding Is Not Sufficient for H-NS-mediated Repression of proU Expression -- Jordi et al. 272 (18): 12083 -- ... (cached)
http://www.jbc.org/cgi/content/full/272/18/12083

... the limited number of DNA curves studied, the increased preference for curved ... H-NS shows binding preference for the AT planar curve. ...

#199 DAPI: Geometry (cached)
http://www.blis-project.org/cgi-bin/cvsweb.cgi/~checkout~/sable/domain_APIs/APIs/DAPI_Geometry.html

... primary curves composing the composite curve are called ... An Ellipse is a planar closed bounded curve from the "conic" family of curves. Note on Conics: ...

#200 Math 211 Math 211 (cached)
http://math.rice.edu/~polking/slides/spr01/limitsetsn.pdf

is a closed solution curve. which is the limit set of nearby solution curves. If the ... A closed solution curve. • A directed planar graph with vertices that are ...

planar curves

#203 A'Campo: Planar trees, slalom curves and hyperbolic knots (cached)
http://www.numdam.org/item?id=PMIHES_1998__88__171_0

PLANAR TREES, SLALOM CURVES AND HYPERBOLIC KNOTS by NORBERT A'GAMPO 1. ... is called the slalom curve or slalom divide of the rooted planar tree B, see Fig. ...

#204 CMPT 361: Curves (cached)
http://www.cs.sfu.ca/~torsten/Teaching/Cmpt361/LectureNotes/HTML/08_2Dcurves/

... smooth curves, the linear functions used to approximate the curve are replaced ... are non-planar in 3D. ... its curves, and it provides function calls to ...

#205 Complete Path Planning for a Planar (cached)
http://www.cs.rpi.edu/~trink/Papers/LMTicra.pdf

... and (iii) for a planar 2-R manipulator ... the point obstacles form an arrangement of curves in T. 2 ... be the collision curve which consists of all the ...

#206 The Length of Digital Curves (cached)
http://www.citr.auckland.ac.nz/techreports/1999/CITR-TR-54.pdf

knew already that the number of grid points inside of a planar convex curve ... a planar curve cannot be based on counts of local space elements such as grid ...

#207 CAD-CAM Software, CAD Software, CNC Milling Machines - CNC Masters (cached)
http://www.cncmasters.com/cad_cam_softwares.htm

Create curves: point, line, polyline, polyline on mesh, free-form curve, circle, ... torus, extrude planar curve, extrude surface, cap planar holes, join ...

#208 Building 3D surface networks from 2D curve networks with application to anatomical modeling (cached)
http://www.cs.wustl.edu/~taoju/research/surfacenetwork_final.pdf

niques for building such surfaces from simple planar curves, ... Given a set of planar curve networks, the three steps are ...

#209 Lecture Notes on Differential Geometry (cached)
http://www.math.gatech.edu/~ghomi/LectureNotes/

Curves of constant curvature, the principal normal, signed curvature, turning angle, Hopf's theorem on winding number, fundamental theorem for planar curves. ...

#210 Convexity Rule for Shape Decomposition Based on Discrete Contour Evolution (cached)
http://www.cis.temple.edu/~latecki/Papers/cviu99.pdf

tinuous curves, every digital curve is composed of digital line ... continuous planar curves by diffusion equations is a deep and ...

#211 The Solid Modeler: Model Representation (cached)
http://www.schemers.com/3dscm12b.html

create temporary curves of various kinds. create a curve from an edge ... get the normal gvector to the plane containing a planar curve/edge ...

#212 Interactive Application: WebPisces (cached)
http://www.geom.uiuc.edu/apps/webpisces/

... for Implicit Surfaces and Curves and the Exploration of Singularities. ... is restricted to the case of planar curves (that is, zero sets of two-variable ...

#213 Abstract An algorithm is presented which can be used to alleviate shape artefacts (buckling) that occur (cached)
http://www.win.tue.nl/~elisabeth/VIS_WEB/papers/papers/b_buckl.pdf

For a non-planar curve, the normal vector could be conﬁned to lay in the plane spanned by ... Singularities of the curve shrinking ﬂow for space curves. Journal ...

#214 Spine and Radial Drawings (cached)
http://www.cs.brown.edu/~rt/gdhandbook/chapters/spine-radial.pdf

... is a set of pairwise parallel curves; each curve in the set is called a ... of G, called curve embedding, such that G admits a planar 1-bend drawing on any ...

#215 Preprint (cached)
http://www.acm.org/tog/tog-04-0047.pdf

the shape of some unknown planar curve, which can be open or closed, but not ... Curves by SDM. 7. the unit normal vector of the current ﬁtting curve P ...

#216 Soap Films and Kelvin's Curved, Truncated Octahedron (cached)
http://euler.slu.edu/Dept/Faculty/huff/final%20proofs%20prismfilmrev.pdf

... edges from which the two ﬁns extend), and a horizontal planar square (with ... Recall that a curve is principal if its tangent vectors are eigenvectors for the ...

#217 Robust Computational Methods for Shape Interrogation (cached)
http://deslab.mit.edu/DesignLab/tmaekawa/phd.pdf

... (a) Cubic B-spline curve subdivided into four cubic Bezier curves (b) interior o sets ... geometry properties of planar curves and studies the computa ...

#218 doi:10.1016/S0196-6774(03)00085-3 (cached)
http://www.cs.arizona.edu/~alon/papers/gFrechet.pdf

planar curves, and let · denote the Euclidean norm. Then ... diagram for two polygonal curves f and g. A monotone curve from the lower left corner to the ...

#219 How should a snake turn on ice: A case study of the asymptotic isoholonomic problem (cached)
http://www.math.sjsu.edu/~simic/Articles/snake_cdc.pdf

isoperimetric problem, i.e., ﬁnding the planar curves with a ... horizontal curves: for a horizontal curve γ in R. n+1 , its length. is given by L(γ) ...

#220 Maintaining multi-level planar maps in intelligent systems (cached)
http://www.isd.mel.nist.gov/documents/horst/CGOB.pdf

techniques, such as edge detection, thinning, curve tracing, ... occupancy in the form of object boundary curves is ... boundary curve representation is ...

#221 Digitization of Bézier Curves and Patches using Discrete Geometry (cached)
http://diwww.epfl.ch/w3lsp/publications/discretegeo/dobcapudg.pdf

Let B be a planar cubic Bézier arc defined by its control polygon , ... Bézier curves: the De Casteljau recursion stops and the curve segment can be rendered ...

#222 The Curve Indicator Random Field (cached)
http://www.cs.cmu.edu/~jonas/Jonas_August_PhD.pdf

Recall that a planar curve is. a function taking a parameter t ... of curves—the tangent (cos θ, sin θ)—is captured by lifting a planar curve to. 2 ...

#223 kalle str m - ResearchIndex document query (cached)
http://citeseer.ist.psu.edu/cis?q=Kalle+%C5str%F6m

kalle str m - scientific articles ... Normalization of Planar Curves and Regions. ... Limits on Projective Normalisation of Planar Curves - Åström (Correct) ...

#224 Advanced Programming Techniques (cached)
http://lcsd05.cs.tamu.edu/slides/fogel_slides.pdf

Γ of planar curves, the arrangement A(Γ) is the partition of the plane into. vertices ... curves to the left (or right) of a point. Subdivide a curve into ...

#225 accad.osu.edu/~midori/03_751/lectures (cached)
http://accad.osu.edu/~midori/03_751/lectures

... Select top and bottom curves and Surfaces -> Planar When input is text (trimmed) ... parts of the original curves that flow toward the fillet curve ends. ...

#226 A Simple Method for Invalid Loops Removal of Planar Offset Curves (cached)
http://home.so-net.net.tw/lyllaiber/Loop_Re.htm

The function of curve offset is of importance in the process of generating a ... by intersections of complicate planar curves directly and transform 2D ...

#227 Elsevier: Computing - Morgan Kaufmann (cached)
http://books.elsevier.com/uk/mk/uk/subindex.asp?isbn=1558605940&country=United+Kingdom&community=mk&ref=&mscssid=7J7A2X9DKK2U8GFBC9SPT66VR6NQF698

10.13.1 Distance between Line and Planar Curve. 10.13.2 Distance between Line and Planar Solid Object. 10.13.3 Distance between Planar Curves ...

#228 Zhehui Wang and Samuel A. Cohen (cached)
http://www.pppl.gov/pub_report/1998/PPPL-3294.pdf

m were found using IDL curve t.pro algorithm. Typical values for these ... I{V curves, the usual law of I = kV. n. for planar magnetrons can be used ...

#229 Asymptotic Approximation by Quadratic Spline Curves (cached)
http://www.dmg.tuwien.ac.at/ludwig/spline.pdf

For a planar curve C with positive aﬃne curvature, we derive an ... Here we consider the problem of approximating a planar curve C by ...

#230 Interactive Reﬂections on Curved Objects (cached)
http://www.cs.utah.edu/classes/cs5610/handouts/curved-reflector.pdf

ciﬁc types of objects (e.g., linear extrusions of planar curves) the ... extrusion of a convex planar curve. 6. Non-Convex Reﬂectors. Concave reﬂectors. ...

#231 tutorial (cached)
http://www.fiu.edu/~andiaa/cg2/tutorial/5.html

... planar curve and project it to the surface to create a non-planar ... the Select curves to project prompt, in the Front view, select the curve (1) and ...

#232 The Planar Orthogonal Graph Drawing and Bend Reduction Tester (cached)
http://www.cs.brown.edu/people/jjl/BendMinApplet.html

... the planar orthogonal graphs are drawn and where the curves are created. ... Make sure that when drawing curves, that the curve both enters and leaves the ...

#233 A Sketch-Based Interface for Iterative Design and Analysis of 3D Objects (cached)
http://ccsl.mae.cornell.edu/papers/EG05_masry.pdf

of 3D objects made up of straight lines and planar curves. ... prior to curve reconstruction, and can therefore not recon- struct arbitrary single curves. ...

#234 Publications of Dr Farzin Mokhtarian (cached)
http://www.ee.surrey.ac.uk/Personal/F.Mokhtarian/allpapers.html

... Description and Recognition of Planar Curves and Two-Dimensional Shapes,'' IEEE Trans. ... Criteria for Automatic Multi-Scale Curve Segmentation,'' Proc. ...

#235 Section5 (cached)
http://www.mi.sanu.ac.yu/vismath/malkovsky/Section5.htm

... theorem of curves states that the shape of a curve is uniquely defined ... Planar curves with k(s) = c·s where c is a constant are klothoids. ...

#236 v3_2_6 (cached)
http://www.transcendata.com/~libadm/htmlman/v4.5/v3_2_6.htm

... option is not set, all parm curves will be deleted when we exit this ... If the gdx composite curve is XY planar, then it should be converted to a DXF 2D ...

#237 Attractor Information: (cached)
http://mywebpages.comcast.net/dedds/cutepin.html

... diagram shows, critical curves, which are the planar analogs of critical points ... the book, only certain segments of each curve are used in zeroing in on the ...

#238 PC World - Planar PV174 Review (cached)
http://www.pcworld.com/reviews/article/0,aid,84146,tk,prx,00.asp

Pivoting 17-inch LCD looks great but isn't as easy to use as the best. ... also strong; it gracefully rendered the curves on large letters, which can look ...

#239 On Functions and Curves Deﬁned by Ordinary Diﬀerential Equations (cached)
http://www.wisdom.weizmann.ac.il/~yakov/ftpapers/fields.pdf

For example, a planar real algebraic curve ... inequality (3.2) for planar curves implies the following generalization of the Rolle ...

#240 GC Webster Scripts Page (cached)
http://en.wiki.mcneel.com/default.aspx/McNeel/GCWebsterScriptsPage.html

Scripts, Workspace ... open planar curves inside a closed planar curve boundary. ... Selects only the planar curves in a model that coincides with the ...

#241 On Invariants of Lie Group Actions and their Application to some Equivalence Problems (cached)
http://www.lems.brown.edu/~mimi/papers/thesis.pdf

... Euclidean and equi-afﬁne differential invariants of a planar curve and solve ... down to characterizing the equivalence class of curves under a Lie group action. ...

#242 MMHK.com (cached)
http://www.mmhk.com/e/products/mcneel/rhino.html

Create curves: point, line, polyline, polyline on mesh, free-form curve, circle, ... torus, extrude planar curve, extrude surface, cap planar holes, join ...

#243 Rhino ceros (cached)
http://www.techno-isel.com/H840/PDF/095.pdf

planar curves, rectangle, extrude, ribbon, rule, loft, sweep along ... cone, ellipsoid, torus, extrude planar curve, extrude surface, cap ...

#244 www.cgal.org/Manual/3.1/include/CGAL/Planar_map_2.h (cached)
http://www.cgal.org/Manual/3.1/include/CGAL/Planar_map_2.h

... planar * subdivision induced by a set of $x$-monotone curves such that no curve ... the curves from the planar map and insert them to // the curve list. ...

#245 CEMF: Planar Waveguides (cached)
http://people.deas.harvard.edu/~jones/ap216/lectures/ls_1/ls1_u8/ls1_unit_8.html

Guided Waves in Planar Structures (pdf copy) ... The intersections of such curves yield the allowed bounce angles as illustrated below ...

#246 No Title (cached)
http://mrl.nyu.edu/~dzorin/intro-graphics/assignments/assignment4/

... in 3D is difficult, so we simplify the task by starting with a planar curve. ... control points on these curves should be exactly the same as for the curve p(t) ...

#247 Pisces: Predictor-Corrector Algorithm (cached)
http://www.geom.uiuc.edu/~fjw/pisces/docs/panels/algorithm/predcorr.html

... of singularities (points where the level curve does not have a well-defined tangent line) ... singular points (for planar curves, where f=0 and grad(f)=(0,0) ...

#248 MoI discussion forum (cached)
http://www.moi3d.com/forum/index.php?webtag=MOI&msg=45.1

Select the Periphery diameter curve and use Construct / Planar ... Quick note - Planar also works on surfaces/solids too, in addition to curves. ...

#249 KEY-POSTURE EXTRACTION OUT OF HUMAN MOTION DATA BY CURVE SIMPLIFICATION (cached)
http://ligwww.epfl.ch/~lis/IEEE_EBMS01.pdf

algorithm, typically used for planar curves, to human motion data. ... applied to planar curves in 2 dimension. Treating the human ...

#250 The writhe of open and closed curves (cached)
http://ej.iop.org/links/rfBjsheUf/2DILAEEM3BGBlwG7av5vpA/a6_26_005.pdf

... a straight line segment or planar curve to connect the endpoints, then using the closed ... curve will often be surrounded by other almost parallel curves, ...

#251 SIMMS Integrated Mathematics (cached)
http://www.montana.edu/~wwwsimms/Obj4.html

identify planar graphs ... number and the number of vertices of a complete planar graph ... write the equations of sine or cosine curves from graphs ...

#252 Rhino 4.0 Beta 17-Oct-2005 - What's New (cached)
http://download.mcneel.com/whatsnew.asp?rel=79

Once you pick a master curve, all the other curves are rebuilt using the NURBS ... planar surface is then extruded perpendicular to the plane of the rib curve ...

#253 gias720.dis.ulpgc.es/Gias/Publications/eis00.pdf (cached)
http://gias720.dis.ulpgc.es/Gias/Publications/eis00.pdf

closed planar curve that represents the shape of an. object of interest. ... Representation of planar curves based on wavelet shape ...

#254 What Makes Viewpoint Invariant Properties Perceptually Salient? (cached)
http://www.cs.umd.edu/~djacobs/pubs_files/draft4-3.pdf

Or, it might be due to a planar curve that is viewed end-on. The unlikeliness of such ... lines, collinear lines and closed curves are shown in contrast to ...

#255 Kinematics of Spatial Mechanisms and Robots: Papers (cached)
http://gram.eng.uci.edu/~mccarthy/research/papers.html

... "The Quartic Singularity Surface of a Planar Platform in the Clifford Algebra of ... This curve is constructed from a quadrilateral formed by the relative ...

#256 Planar curves parametrized by tangent direction (cached)
http://www.dtu.dk/Service/Telefonbog.aspx?lg=commonprint&id=28368

... (posters, abstracts) Titel: Planar curves parametrized by tangent direction ... author: Gravesen, Jens (Cwisno: 672) Technical University of Denmark, ...

#257 HIGHER-ORDER ALEXANDER INVARIANTS OF PLANE ALGEBRAIC CURVES (cached)
http://www.math.uic.edu/~lmaxim/hoA.pdf

(C) which are invariants of the algebraic planar curve C. These come from analyzing ... fundamental group of a plane curve complement is in general highly ...

#258 MAPLE (cached)
http://www.math.udel.edu/~rakesh/TEACH/M242/m242tutorial.pdf

... are not necessary (but may be used) when plotting a single curve. ... now learn the commands for plotting planar curves given in parametric form or in ...

#259 INSCRIBING SMOOTH KNOTS WITH REGULAR POLYGONS Ying-Qing Wu (cached)
http://www.math.uiowa.edu/~wu/papers/p40.pdf

which inscribes a given planar curve. It is a very interesting open question whether ... Inscribed squares and square-like quadrilaterals in closed curves, ...

#260 Grigni: [13] (cached)
http://www.mathcs.emory.edu/~mic/papers/13.pdf

are in fact one-dimensional planar curves. In other words, ... graphs of planar curves. As we mentioned, it is open whether ...

#261 Fitting Force Curves by the Extended Freely Jointed Chain Model (cached)
http://www.chem.duke.edu/~boris/research/force_spectroscopy/fit_efjc.pdf

transition between helical and planar conformations of the PEG chain in aqueous solutions. ... fits the stretching curve closely, providing more accurate ...

#262 Curves of Constant Width and Reuleaux Polygons (cached)
http://curvebank.calstatela.edu/reu/reuleaux.htm

The National Curve Bank project for students of mathematics ... A constant width curve is a planar convex oval with the property that the ...

#263 INDIAN INSTITUTE OF TECHNOLOGY, BOMBAY Department of Mathematics SYNOPSIS of the Ph.D. thesis entitled (cached)
http://www.math.iitb.ac.in/~gautam/synopsisgautam.pdf

ezier patches interpolating a network of curves in which each curve interpolates a row or ... Quadratic curves are planar and do not exhibit torsion ...

#264 PlanetMath: mean curvature (cached)
http://planetmath.org/encyclopedia/MeanCurvature.html

Let be a piecewise planar curve. ... Cross-references: length, ratio, curve, planar, piecewise. There are 2 references to this entry. ...

#265 SurfaceWorks surfaces (cached)
http://www.aerohydro.com/product/newsurfs.htm

... a surface formed by rotating a copy of a curve about an axis. ... any combination of edges that are defined by snakes or non-linear planar curves. Example. ...

#266 planar graph: two graphs important to planar properties -- Encyclopaedia Britannica (cached)
http://www.britannica.com/eb/art-1076

Figure 5: Two graphs important to planar properties. ... A graph G is said to be planar if it can be represented on a plane in such a ...

#267 1 - Local smoothness analysis (cached)
http://www.gvu.gatech.edu/~jarek/courses/4496/handouts/curves.pdf

Although a smooth planar curve J may be represented in a variety of ways, ... compare the smoothness of the various curves, we plot (below) their normal jerk, ...

#268 A procedure to Estimate the Fractal Dimension of Waveforms (cached)
http://journal-ci.csse.monash.edu.au/ci/vol05/sevcik/sevcik.html

In two-dimensional spaces, waveforms are planar curves. ... Thus, any planar curve with 1 < Dh < 2 is fractal. ... for the rainfall curves in figure 1 or ...

#269 Yizhou Yu (cached)
http://www-sal.cs.uiuc.edu/~yyz/vision.html

... paper shows that both the shape of curves in 3-D space and the camera ... small: one for planar curves and two for nonplanar curves (of arbitrary shapes) ...

#270 Surfaces, Flows & Holonomy (cached)
http://www.gang.umass.edu/video/part2/index.html

The surfaces are planar curves. The geometric flow will be specified. ... The planar curve is modelled by the zero level set of this order parameter. ...

#271 Sculpture with Symmetrically Arranged Planar Components (cached)
http://www.georgehart.com/planar/PlanarComponents.html

... inherent in symmetrically arranged intertwined planar components. ... points approximate each curve, so the polygonal nature of the curves can be seen ...

#272 Non-planar 3D crack growth by the extended finite element and level sets - Part II: Level set update (cached)
http://www.tam.northwestern.edu/tb/papers/02-02%20Non-planar%203D%20crack%20growth%20Part%20II.pdf

... along the crack front, i.e. the curve de ned by the intersection of ... Merriman B, Osher S. Motion of curves in three spatial dimensions using a level set ...

#273 LATTICES CONTAINED IN PLANAR ORDERS ARE PLANAR by Richard Nowakowski (cached)
http://www.matem.unam.mx/~urrutia/online_papers/LatContArePla.pdf

curves, that is, curves on which no two distinct points have the ... edge joining a to b may be taken as a curve following some covering chain in P from ...

#274 Incremental computation of planar maps (cached)
http://portal.acm.org/citation.cfm?id=74369&coll=portal&dl=ACM&CFID=12864038&CFTOKEN=27579928

A planar map is a figure formed by a set of intersecting lines and curves. ... To build a planar map, one must compute curve intersections and deduce from ...

#275 Products - Solid Modeling Solutions (cached)
http://www.smlib.com/gsnlib.html

Dropping and Lifting Curves - 3D curve into surface parameter space and surface ... Figure 14: Creation of Planar Section Curves ...

#276 Contextual Inference in Contour-Based Stereo Correspondence (cached)
http://cs-www.cs.yale.edu/homes/li-gang/publication/ijcv.pdf

For a unit speed planar image curve. α(s) with positive ... plement it similarly to co-circularity for planar image. curves (Fig. 4) ...

#277 R. W. Kenyon: pubs and prepubs (cached)
http://www.math.ubc.ca/~kenyon/papers/index.html

... planar graph is a plane curve P(z,w)=0. The "amoeba" of this plane curve ... Planar dimers and Harnack curves with Andrei Okounkov, Duke Math. ...

#278 A Generalized Shape-Axis Model for Planar Shapes (cached)
http://www.iis.sinica.edu.tw/~liutyng/paper/icpr00.pdf

planar curve is open it is possible to derive an SA ... Variational Matching of Planar Curves. Given a planar curve, two parameterizations, where one ...

#279 Math Department Colloquium Announcement (cached)
http://math.cofc.edu/faculty/ColloquiumView.html?viewid=57

What Are the Foci of a Planar Curve? Joel Langer, Case Western Reserve University ... of foci for real algebraic curves which encompasses the usual foci of ...

#280 On convexity of planar curves and its application in CAGD - University of Twente Publications (cached)
http://doc.utwente.nl/29817/

( 1997) On convexity of planar curves and its application in ... condition for global convexity of planar curves and some applications of this condition. ...

#281 Cycloid (cached)
http://www.javaview.de/demo/PaCycloid.html

Among the famous planar curves is the cycloid. ... For d<r the cycloids waves up and down, and are embedded like a sine curve. ...

#282 NPOWER Software (cached)
http://www.npowersoftware.com/nurbs/pnlearnmore.htm

... the user to create and edit a single curve or a connected network of curves. ... NURBS object from a set of planar curves which for mone or more closed ...

#283 ANALYSIS OF VENN DIAGRAMS USING CYCLES IN GRAPHS (cached)
http://www.ipfw.edu/math/hamburger/venn.pdf

enumerating maximal bipartite planar graphs of a certain type. ... curves having 18 regions, since the curve ... Then one of the 14-curves and a 12-curve ...

#284 PII: S0031-3203(97)00071-X (cached)
http://www.cis.temple.edu/~latecki/Papers/pr98.pdf

... We introduce a class of planar arcs and curves, called tame arcs, which is general enough to ... nowhere diﬀerentiable snowﬂake'' curve of Sier- pinski. ...

#285 Planar® T * 2/80 (cached)
http://www.zeiss.com/C12567A8003B8B6F/EmbedTitelIntern/Planar2_80mm_e/$File/Planar2_80mm_e.pdf

The Carl Zeiss Planar® lens is the most successful. camera lens ... corresponds to the upper pair of curves, the highest spatial frequency to the lower ...

#286 The Panorama Factory Forum: Why do straight lines get turned into curves? (cached)
http://www.panoramafactory.com/discus/messages/10/63.html

In images produced by these cameras straight lines also appear to curve. Planar panoramic cameras (6x17 etc) do not produce curved lines. ...

#287 Using SurfaceWorks with SolidWorks (cached)
http://www.aerohydro.com/test/SFW6Manual13UseWithSolidWorks.pdf

... the relation to be coincident with a particular curve, in ... curves, and user-named edges or planar faces), or in the Manage SurfaceWorks Parents dialog: ...

#288 Active Contours Home Page (cached)
http://research.microsoft.com/~ablake/contours/

... the space of Euclidean similarities, planar affine shape-space, norms and ... probability distributions over curves, posterior distribution, probabilistic ...

#289 Modeling (cached)
http://www.cosc.brocku.ca/Offerings/3P98/course/lectures/modeling/

an advanced topic is the use of non-planar surfaces ie. surfaces with curves and bumps ... a set of polynomials which define a complex curve and surface ...

#290 Convolution Surfaces (cached)
http://www.unchainedgeometry.com/jbloom/pdf/CSurfFinal.pdf

the skeletons from points to lines, polygons, planar curves and ... When S is a spline curve or planar polygon, µ. can be computed ...

#291 CONTOUR OUTLINES (cached)
http://www.mel.nist.gov/div826/library/doc/kramer89c.pdf

This paper discusses geometric methods pertaining to planar curves consisting of sequences of ... curve is closed, control point 1 may be at the end of any ...

#292 The Motion Planning Existence Problem for a Planar (cached)
http://www.ee.ust.hk/~liugf/icra2004-1.pdf

between collision curves and self-intersection curve. Input: n obstacles p. i , ... curves, the self-intersection curve, and their intersections X. v. while. X. u ...

#293 JEA 2000 Home Page for Flato et al. (cached)
http://www.jea.acm.org/2000/FlatoPlanar/

Abstract Planar maps are fundamental structures in computational geometry. ... family of curves as long as the user supplies a small se t of operations for the ...

#294 planar graph: two graphs important to planar properties - Art - Britannica Concise (cached)
http://concise.britannica.com/ebc/art-1076

... points, the edges are simple curves, and no two edges meet one another ... combinatorics : Planar graphs (Encyclopædia Britannica) ...

#295 Quantitative analysis of shape attributes based on contours and section proﬁles in artifact analysis (cached)
http://www.weizmann.ac.il/complex/uzy/archaeomath/jas2004.pdf

dimensional object is reduced to that of a planar curve. ... 2. Planar curves. A general way to deﬁne a curve in the plane is by ...

#296 planar graph: two graphs important to planar properties -- Britannica Concise Encyclopedia - The online encyclopedia... (cached)
http://www.britannica.com/ebc/art-1076

Figure 5: Two graphs important to planar properties. ... A graph G is said to be planar if it can be represented on a plane in such a ...

#297 www.math.technion.ac.il/~techm/20060327123020060327pek (cached)
http://www.math.technion.ac.il/~techm/20060327123020060327pek

... ability to answer this fundamental curve-identity question is not only ... to the metamorphosis of two planar curves is a simple convex combination between ...

#298 Threading splines through 3D channels (cached)
http://www.cise.ufl.edu/research/SurfLab/papers/02smChannel.pdf

... planar. curve or ... to planar channels and extension to parallel curves. ... Fig. 11. Two parallel planar curves traversing channels. ( left) a spline and ...

#299 Towards Optimal Coverage of 2-Dimensional Surfaces Embedded in IR3: Chioce of Start Curve (cached)
http://voronoi.sbp.ri.cmu.edu/papers/iros03_prasad_howie.pdf

curvature of the start curve and the offset curves has ... of planar curves within reasonable ... planar intersection curves which are Gaussian curvature ...

#300 PERIMETER-MINIMIZING CURVES AND SURFACES IN R (cached)
http://www.intlpress.com/AJM/p/2000/4_2/AJM-4-2-373-382.pdf

Planar curves minimizing length for given area are classically characterized as circular ... of ﬁnding the shortest closed curve of prescribed multi ...

planar curves

#302 Oleg V. Poliannikov's Homepage (cached)
http://www-erl.mit.edu/~poliann/

... and Hamid Krim, "On Sampling Closed Planar Curves and Surfaces. ... Poliannikov and Hamid Krim, "Parameterization Models for Sampling Planar Curves. ...

#303 I:\DOCS\VENNJCT (cached)
http://www.ipfw.edu/math/hamburger/vennjct.pdf

curves by the addition of a suitable simple closed curve. 1. ... A simple triangulation is a connected planar graph all of whose. facial walks have length three. ...

#304 NAS Technical Report - NAS-03-012 August 2003 (cached)
http://www.nas.nasa.gov/News/Techreports/2003/PDF/nas-03-012.pdf

curve is a two-dimensional (planar) curve defined by an equation involving a cubic ... elliptic curves and the applications of. elliptic curves in ...

#305 Planar (cached)
http://www.zeiss.com/C12567A8003B8B6F/EmbedTitelIntern/Planar1.4_85mm_yashica_e/$File/Planar1.4_85mm_yashica_e.pdf

mm Planar. T * f/1.4 lens for discerning amateur. and professional ... to the upper pair of curves, the highest. spatial frequency to the lower pair. Above ...

#306 www.math.pitt.edu/~swigon/Lectures/Lecture14.pdf (cached)
http://www.math.pitt.edu/~swigon/Lectures/Lecture14.pdf

... values in general, close to integer for nearly planar curves, zero for curves. drawn on a sphere ... Serret-Frenet equations for space curve: ...

#307 Convolution Surfaces (cached)
http://www.cs.princeton.edu/courses/archive/fall02/cs526/papers/bloomenthal91.pdf

polygons, planar curves and regions, and in. principle, any geometric primitive. We ... S is a cubic spline curve or planar. polygon, µ. can be computed ...

#308 COMAP: Mathematics Instructional Resources for Innovative Educators (cached)
http://www.comap.com/product/?idx=384

COMAP Home Page ... The Differential of Planar Curves. The Differntial of Spatial Curves. Great Circles ... Angles Between Curves in Euclidean Spaces ...

#309 Motion Planning for Small Formations of Autonomous Vehicles Navigating on Gradient Fields (cached)
http://transit-port.net/Uwe.Zimmer/Publications/abs.Tokyo.07.Small.Form.html

... convergence to desired isoclines, inspired by evolution of closed planar curves. ... implementation of the original curve evolution scheme, a governor ...

#310 www-ee.uta.edu/Online/Devarajan/EE6358/curves.ppt (cached)
http://www-ee.uta.edu/Online/Devarajan/EE6358/curves.ppt

... small changes in position in the planar domain affect the position on the ... Sequence of polynomial curves joined end-to-end to represent a complex curve ...

#311 Cyber Aspect - Software Reviews - 2D & 3D Graphics - Rhinoceros - Rhino (cached)
http://www.cyber-aspect.com/sreviews/rhinoceros.htm

Create curves: point, line, polyline, free-form curve, circle, arc, ellipse, ... torus, extrude planar curve, extrude surface, cap planar holes, join ...

#312 PIGALE Library (cached)
http://pigale.sourceforge.net/

... and an algorithm library essentially concerned with planar graphs. ... a drawing of planar graphs using Béziers curves (based on a spring embedder, unpublished) ...

#313 Parity Problems in Planar Graphs (cached)
http://www.cs.toronto.edu/~mbraverm/PlanarDet.pdf

matchings in planar graphs in a nontrivial ... closed curve in the plane, which winds around the ... checking whether a given simple collection of curves γ ...

#314 Maxima Tutorial (cached)
http://maxima.sourceforge.net/docs/tutorial/en/gaertner-tutorial-revision/Pages/FnDef0001.htm

Geometry: Planar Curves. This section uses material from ... The parametric representation of a planar curve can be written as a vector in two dimensions. ...

#315 Keith Price Bibliography journal Listing for ecc (cached)
http://www.visionbib.com/bibliography/journal/ecc.html

On Calibration and Reconstruction from Planar Curves ... Hierarchical Curve Reconstruction. Part I: Bifurcation Analysis and Recovery of Smooth Curves ...

#316 ME 115(b): Homework #5 Soltution Problem #1: (cached)
http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol5b.06.pdf

... the evolute, β(t), of a planar curve, α(t), is: β(t) = α(t) ... For planar curves, the normal can be easily computed as the unit tangent vector rotated by ...

#317 Graphics lecture notes 21: Bezier and Spline curves (Ch.11) (cached)
http://www.cis.syr.edu/~mohan/gra21.html

Parametric curves can be considered to be trajectories, imagining ... curves, with the possible additional requirement that the curve ... is planar if n ...

#318 Geometry Processing Algorithms Based on Volume Discrete Models (cached)
http://www.math.vanderbilt.edu/~schumake/abstracts.pdf

It is proved that any convex planar curve close ... Zagar, On geometric interpolation by planar parametric polynomial curves, To appear ...

#319 Fitting of a Closed Planar Curve Representing a Proﬁle of an Archaeological Fragment (cached)
http://www.prip.tuwien.ac.at/~sab/papers/athen01b.pdf

Fitting of a Closed Planar Curve Representing a Proﬁle of an ... cal curves to describe the shapes of the vessels ... the planar closed curve r ...

#320 Curves in the Sand: Algorithmic Drawing (cached)
http://cgm.cs.mcgill.ca/~perouz/publications/CurvesInSand.pdf

bitangents, tangents shared by different points on the curve. ... viewed as 4-regular planar maps with the additional property ...

#321 Modeling a Tank: Thingers (cached)
http://www.3drender.com/rhino/tankhtml/23.htm

Ok select the 2 curves just inside the last 2 and Extrude them back about 1 grid. ... surface when prompted to 'Select planar curves to build surface:' and then ...

#322 Phase Portraits of Planar Vector Fields: Computer Proofs (cached)
http://www.math.cornell.edu/~gucken/PDF/planar_proofs.pdf

the sector bounded by the left and right tangents of the boundary curves ... limit cycle was approximated by a cubic curve g(u) whose tangent was the ...

#323 NYJM Abstract - 3-2 - Edoh Y. Amiran (cached)
http://www.emc.dk/EMIS/journals/NYJM/j/v3/3-2.html

... when Ω is a strictly convex bounded planar domain with a smooth boundary and is ... this characterizes ellipses among smooth strictly convex closed planar curves. ...

#324 74.797 Curves and Surface Algorithms in Computer Graphics (cached)
http://www.cs.umanitoba.ca/newsite/courses/7970.html

3. Planar curves - parametric and non-parametric representations. ... 5. NURBS for Curve and Surface Design edited by G.A. Farin. ...

#325 Generic Multi-scale Segmentation and Curve Approximation Method (cached)
http://www.gel.ulaval.ca/~bergevin/pdf/ssmcv2001.pdf

scription(s) of planar curves according to constant curvature segments. ... The generic process ﬁrst splits a planar curve into several sub-curves, each of ...

#326 DBLP: Josef Schicho (cached)
http://www.vldb.org/dblp/db/indices/a-tree/s/Schicho:Josef.html

... Approximate implicitization of planar curves by piecewise rational approximation ... Jüttler, Josef Schicho: C1 Spline Implicitization of Planar Curves. ...

#327 PII: S0167-8396(98)00007-7 (cached)
http://mae.ucdavis.edu/~farouki/cagd98b.pdf

be analytic curve segments comprising the boundary S of a planar. domain D, so that S = s ... of the curve/curve bisector in the case of curves with a ...

#328 Dynamic NURBS Swung Surfaces for Physics-Based Shape Design (cached)
http://www.cs.ucla.edu/~dt/papers/cad95/cad95.pdf

Although planar curve design is much easier than general surface design, in many ... surface is generated from two planar kinematic NURBS pro le curves ...

#329 %RKBeatsonEChacko00 % larry 20apr00 hl{} efP R.~K.~Beatson,E ... (cached)
http://www.cs.wisc.edu/~deboor/bib/R

... refJ Rababah, Abdallah; Taylor theorem for planar curves; \PAMS; 119(3); 1993; ... Algorithm 716 TSPACK: Tension spline curve-fitting package; \ACMTMS; 19; 1993; ...

#330 F1315 (cached)
http://www.sfb013.uni-linz.ac.at/~sfb/publications/F1315.html

Approximate parameterization by planar rational curves. ... A. Cohen and L. Schumaker, editors, Curve and Surface Fitting, pages 385-392. ...

#331 CLASSIFICATION OF FIRST-ORDER FLEXIBLE REGULAR BICYCLE POLYGONS (cached)
http://www.math.cornell.edu/~connelly/bike_eq-3.pdf

Bicycle curves can be characterized by the ... Namely, a closed convex planar curve is a bicycle curve if and only ... of the planar ﬂoating body problem ...

#332 Scaling the Topology of Symmetric, Second-Order Planar Tensor Fields (cached)
http://www.sci.utah.edu/~tricoche/papers/scaling.pdf

curve around the degenerate point that encloses no other singularity, when traveling ... ces are integral curves that bound the so-called hyperbolic ...

#333 Toxiclab.org - Rhino 3d - Modeling Racing Seat (cached)
http://www.toxiclab.org/tutorial.asp?ID=125

Rotate it and make a surface from the curve (Surface from planar curves). Step 20 ... trim those curves so you end up with one edged curve, then make a ...

#334 B-Spline Curves (cached)
http://www.math.hmc.edu/~gu/math142/mellon/Application_to_CAGD/B-Splines_and_Spline_curves/B-Spline_Curves.html

B-Spline Curves. For a planar B-spline curve, C(t), it is a vector- valued function of X(t) and Y ... of B-spline curves, a Bézier curve will always have ...

#335 Home Page of Bernard D. Coleman (cached)
http://mechanics.rutgers.edu/BDC.html

... driven diffusion along planar curves: I. Symmetric curves expanding in time, ... driven diffusion along planar curves: II Curves that travel at constant ...

#336 Modelling a Road Using Spline Interpolation (cached)
http://www.cs.uiowa.edu/ftp/comp_math_rep/report-145.pdf

line of a road, for curves in both. Ê. 2. and. Ê. 3. We look at algorithms to ... Let Γ be a planar curve with the parameterization (x, y) = (f (t), g(t)), 0 ...

#337 Math 2018 Course page Fall 2005 (cached)
http://www.math.yorku.ca/~huaiping/teaching/m2018/math2018.html

Sept. 27. Lecture 3. Coordinates and planar curves. Oct. 4. No class today. Oct. 11. Polar coordinates and planar curves. Oct. 18. Conics and Planetary motion. ...

#338 modeling basics (cached)
http://users.design.ucla.edu/~cariesta/MayaCourseNotes/html/body_modeling_basics.html

Give a Curve a Planar Surface. Curves are framework, which means they have no surface. Use Planar to surface flat curves. ...

#339 Renderosity Digital Art Community - Tutorials: Modeling a Simple Couch in Rhino (cached)
http://www.renderosity.com/mod/tutorial/index.php?print=74

... 2 closed curves as illustrated. Extrude the outer curve to the disired ... Now, go to Surface/From Planar Curves and select the back edge to close it. ...

#340 Parametrization and smooth approximation of surface triangulations (cached)
http://www.multires.caltech.edu/teaching/courses/cs101.3.spring02/cs101_files/resources/Parameterization/Floater.pdf

(c) the only intersections between curves are at common endpoints. Such a planar embedding of ... G is a simple planar curve then we. shall say that ...

#341 A Survey of Elliptic Curve Cryptosystems, Part I: Introductory (cached)
https://www.nas.nasa.gov/Research/Reports/Techreports/2003/nas-03-012-abstract.html

The theory of elliptic curves is a classical topic in many branches of algebra and number theory, but recently it is receiving more attention in cryptography.

#342 v4_2 (cached)
http://www.transcendata.com/~libadm/htmlman/v4.3/v4_2.htm

... curve created is planar.No calculation of planarity check made, and planar flags ... when the model curve is not continuous and the parm curves are. ...

#343 file toms/716 (cached)
http://www.netlib.org/toms/716

... representation for con- structing general planar curves and space curves. ... TSPBP Subroutine which constructs a bounds-constrained parametric planar curve. ...

#344 BIFURCATION OF PLANAR AND SPATIAL POLYCYCLES: ARNOLD'S PROGRAM AND ITS DEVELOPMENT (cached)
http://www.its.caltech.edu/~kaloshin/research/Arnold.pdf

Consider a local two-parameter family of planar curves. By deﬁnition [A], it is ... Legendre transform of the germ of the curve γ (R. 2 , 0) is a germ ...

#345 How to make a Spiral Staircase (cached)
http://www.geocities.com/rhino3dtutorials/SpiralStairCase/how_to_make_a_spiral_staircase.htm

Next use Surface from Planar Curves to create a surface from the circle. ... Now use Solid/Extrude Planar Curve at a thickness of .2 units to create a step, ...

#346 COMP-767 Winter 2005 - Project Webpage - Computer Generated Celtic Design (cached)
http://www.cs.mcgill.ca/~mcogga/knots/celtpage.html

... present methods for automatically generating Celtic knotworks from planar graphs. ... boundary between the outer and inner curves, but I got rid of those ...

#347 Lenses in Arrangements of Pseudo-circles and Their Applications (cached)
http://www.math.nyu.edu/~pach/publications/lensesvegso.pdf

A closed curve composed of two subarcs of ... of geometric curves in. Ê , denoted as. µ , is the planar. subdivision induced by , ...

#348 REPORTS IN INFORMATICS (cached)
http://www.ii.uib.no/publikasjoner/texrap/pdf/2007-349.pdf

... parallel separators that form pairwise non-crossing Jordan curves in the plane. ... Let G be planar embedded, Z connected, and Z form a Jordan curve. We deﬁne. Z ...

#349 A polynomial rooting approach to super-resolution array design - Signal Processing, IEEE Transactions on (cached)
http://www.ee.vt.edu/~ha/research/uwb/sensor_static_location/polynomial_root_approach.pdf

ometry of the linear array (LA) manifold curve or the planar. array manifold ... of two distinct -curves of a planar array manifold, ...

#350 Ordered Heaps and the Fast Marching Method -- from Wolfram Library Archive (cached)
http://library.wolfram.com/infocenter/Demos/4928

This talk will explore in some detail a particular structure that seems to receive scant attention within the ... curves to a given planar curve. ...

#351 panoguide: Types of panoramic images (cached)
http://www.panoguide.com/howto/panoramas/types.jsp

Types of panoramic image - cubic, spherical, equirectangular, etc ... planar images, which look normal to the human eye (no horizontal curves or ...

#352 Joint Invariant Signatures (cached)
http://www.math.umn.edu/~olver/mf_/ji.pdf

... relies on the fact that a planar curve C R. 2. is uniquely charac ... in detail some of the principal applications, including planar curves, and space ...

#353 Direct, Co-planar Encounters (cached)
http://www.cita.utoronto.ca/~dubinski/tt3/node12.html

... 5: A survey of direct, co-planar galaxy collisions with NFW halos having ... Figure 1 shows the corresponding rotation curves of these galaxies. ...

#354 Roads, Codes, and Spatiotemporal Queries (cached)
http://www.sigmod.org/pods/proc04/pdf/P-12.pdf

The coding is accomplished by embedding the planar graph into a ... We allow the edges connecting vertices to be general curves, rather ...

#355 Abstract (cached)
http://www.intlpress.com/journals/JDG/archive/vol.47/2_5.pdf

properly immersed minimal tori with two parallel embedded planar ends ... in the case of Riemann s minimal surfaces these curves contain points which ...

#356 A Gallery of de Rham Curves (cached)
http://linas.org/math/de_Rham.pdf

The general linear, dyadic planar. fractal curve is given by iterating on. d. 0. 1. 0. 0 ... is a four-parameter family of linear planar. fractal curves. ...

#357 Quantum interpretations of the four color theorem (cached)
http://www.georgetown.edu/faculty/kainen/qtm4ct.pdf

having the vertices lie on any non-planar curve in the prescribed linear order. Similarly, one ... link together with n simple curves, n 0 , each joining a ...

#358 Version 6.0 Release Notes (cached)
http://www.kubotekusa.com/releasenotes/ReleaseNotes-KC600.pdf

... below illustrate the construction plane defined by a planar NURBSpline curve ... with a non-planar spline curve that tangentially meets the filleted curves. 20 ...

#359 Math Media | Osculating Circle (cached)
http://www.amherst.edu/~amcastro/MathMedia/galleries/Curves/Osculo.html

Osculating Circle. Animation that shows the osculating circle of a planar curve. ...

#360 Convex Drawings of Intersecting Families of Simple Closed Curves (cached)
http://www.cs.ubc.ca/conferences/CCCG/elec_proc/c14.pdf

in fewer interiors of the curves. A convex drawing of. is one in which every curve ... Since a source or sink in a planar graph ...

#361 ON THE TOTAL CURVATURE OF A KNOTTED SPACE CURVE. (cached)
http://www.math.harvard.edu/~denne/research/fary.pdf

0 (even for planar curves) ... for closed planar curves; equality in ... neighborhood (recall that the limit of convex curves is a convex curve). One then ...

#362 Documents (cached)
http://fano.ics.uci.edu/cites/Document/

Curvature criteria to fit curves to discrete data. Curve reconstruction from noisy samples ... dilation of closed planar curves: a new lower bound ...

#363 Ruby: Dangerous Curves "How'd they do that?" (cached)
http://ati.amd.com/developer/gdc/GDC2005_RubyDangerousCurves.pdf

... had only planar dynamic reflections ... Non planar reflections were done ... In preparation for Ruby: Dangerous Curves, we decided to re- architect ...

#364 Detecting Cusps and Inflection Points in Curves | EECS at UC Berkeley (cached)
http://www.eecs.berkeley.edu/Pubs/TechRpts/1989/5907.html

... such features are limited to cubics and in many cases are for planar curves only. ... particular, we show that if a curve has a proper parameterization then the ...

#365 The intrinsic equation of planar curves and the geometry of the scroll compressor (cached)
http://www.mat.dtu.dk/Medarbejdere/MAT_all.aspx?lg=commonprint&id=172368

Titel: The intrinsic equation of planar curves and the geometry of the ... using the intrinsic equation of a planar curve, the design can be changed in a ...

#366 PQ Trees, PC Trees, and Planar Graphs (cached)
http://www.cs.colostate.edu/~rmm/pc2.pdf

Such a drawing is called a planar embedding. ... sets of size 3. No matter what kind of convoluted curves are chosen to represent ...

#367 Shape Nouns and Shape Concepts: A Geometry for Corner' (cached)
http://www.cs.mu.oz.au/~lars/Publications/SC1_EHKL.pdf

planar shape geometry', enriching the basic inventory of ordering geometry by. shape curves. ... every curve is constituted by finitely many simple curves. ...

#368 SBS-Type Poster template (cached)
http://www.moleculardevices.com/pdfs2/Biophysical_Society_2003.pdf

... experiments using the automated planar patch ... curves from four individual runs on the IonWorks HT. Each curve is. obtained from over 250 cells. ...

#369 On Bivariate Smoothness Spaces Associated with Nonlinear Approximation (cached)
http://www.tau.ac.il/~leviatan/multismoothness.pdf

The smoothness of a continuous planar curve b : [0, 1] R. 2. will be measured ... does not touch the end of any of the other curves. (ii) To each curve b. j ...

#370 Direct Least-Squares Fitting of Algebraic Surfaces Vaughan Pratt Sun Microsystems Inc. and Stanford University (cached)
http://boole.stanford.edu/pub/fit.pdf

suitable for 3D surfaces as for the 2D curves they were originally developed for. ... points around the curve via a tablet and postediting the result to ...

#371 Creating Primitives and Text > About Text (cached)
http://www.peachpit.com/articles/article.asp?p=483770&seqNum=5

... type and making them planar (see "Creating Surfaces from Curves" in Chapter 7) ... curve has been moved in the z direction, out of alignment with the planar ...

#372 Calculation of Lamb waves dispersion curves in multi-layered planar structures (cached)
http://www.ktu.lt/ultra/journal/pdf_44_3/44-2002-Vol.3_03-A.Demcenko.pdf

Calculation of Lamb waves dispersion curves in multi-layered planar. structures ... along the detected dispersion curve and in such a way to ...

#373 Fast, precise ﬂattening of cubic Be'zier path and offset curves (cached)
http://www.cis.usouthal.edu/~hain/BezierFlattening.pdf

... attens the path curve, and the other ﬂattens the left and ... and left and right offset curves of planar cubic Be'zier. curve segments. The ﬁrst algorithm ...

#374 www.cs.rug.nl/~gert/workshops/documents/Conics.pps (cached)
http://www.cs.rug.nl/~gert/workshops/documents/Conics.pps

Planar Arrangements. Given a collection C of curves in the plane, the ... geometry, supplying a uniform construction method for any type of planar curve. ...

#375 Invariant Euler-Lagrange Equations and the Invariant Variational Bicomplex (cached)
http://www4.ncsu.edu/~iakogan/papersPDF/ivbKoganOlver.pdf

We shall use the planar action (1.1) of the Euclidean group SE(2) on plane curves C M ... a = x, ˜b = u is the point on the curve, while ...

#376 Lecture 5 (cached)
http://www.cs.yale.edu/homes/spielman/eigs/lect5.pdf

... almost no calculation, but will use some special properties of planar graphs. ... curves are the vertices at the endpoints of the edge, and no two curve intersect ...

#377 Help On Planar Surfaces - Board Index (cached)
http://www.highend3d.com/boards/index.php?showtopic=235069&view=getlastpost

... so far is duplicating curves and blendshaping to get the ... Thw weird thing is if I go and check the CVs on my curves they're all planar (same Z value=0) ...

#378 Introduction (cached)
http://research.microsoft.com/~yongrui/ps/sing97.pdf

tance measure for describing and comparing closed planar curves Our. method accounts for ... oriented simple closed planar curve with representation. z l ...

#379 MASS - Research (cached)
http://www.math.psu.edu/mass/research/

Webpage for Mathematics Advanced ... Elliptic Curve Cryptography - Robert King ... The Geometry of Minimal Surfaces bounded by convex planar curves - Rob King ...

#380 DIFFERENTIAL GEOMETRY: A First Course in Curves and Surfaces (cached)
http://www.math.uga.edu/~shifrin/ShifrinDiffGeo.pdf

Prove that the planar curve obtained by projecting ... A closed, planar curve C is said to have constant breadth µ if the distance between parallel ...

#381 Brownian motion with killing and reﬂection and the "hot spots" problem (cached)
http://www.math.purdue.edu/~banuelos/Papers/mixed.pdf

planar convexdomain whose boundary consists of the curve γ. 1. and ... Suppose D is a bounded convex planar domain whose bound- ary consists of two curves ...

#382 Rhino World (cached)
http://www.e-cnc.net/

Select In/Out/Intersect of selected closed planar curve (v3) ... Creates a cross section Curtate Cycloid curves for violin top body part ...

#383 betelu, santiago ignacio (cached)
http://www.math.unt.edu/~betelu/

Research page of Santiago I. Betelu ... "Area based medial axis of planar curves' ... Noise-resistant affine skeletons of planar curves Preprint IMA 1654 ...

#384 Notes on Geometric Modeling Igor Guskov (cached)
http://www.gvu.gatech.edu/~jarek/courses/6491/L04/Blossom.pdf

... where d = 2 for a planar curve and d = 3 for the. curve in space. ... Another convenient representation of a polynomial curve is given by B-spline. curves. ...

#385 Cycloid Summary (cached)
http://www.bookrags.com/Cycloid

The cycloid is a planar curve, defined as the trajectory traveled by a marked ... All these curves are roulettes with a circle rolled along a uniform curvature. ...

#386 Introduction to 3-Dimensional Computer Modeling Instructor: Ralph De Stefano Week 4 (cached)
http://www.evl.uic.edu/ralph/406F99/maya04.pdf

A. CV Curve Tool - creates curves using control vertices. ... ii. Non-Planar - generates a warped surface from curves that lie on different. planes. ...

#387 Automated Performance Evaluation of Range Image Segmentation Algorithms (cached)
http://www.nd.edu/~kwb/MinPowellBowyerSMC_2004.pdf

mance curves cross each other. The performance curve and the AUC metric as ... Performance curves of UB planar-surface algorithm on the 10 training. sets. ...

#388 Probability Surveys - Vol. 2 (2005) (cached)
http://www.i-journals.org/ps/viewarticle.php?id=40&layout=abstract

Probability Surveys publishes survey articles in theoretical and applied ... results concerning conformal restriction properties for random planar curves. ...

#389 Integrable mappings of the plane preserving biquadratic invariant curves II (cached)
http://web.maths.unsw.edu.au/~jagr/IR02.pdf

We call a planar mapping integrable if it is measure ... leaves invariant each curve of a one-parameter family of non-intersecting curves ...

#390 Quantitative Literacy: Math 1100 (cached)
http://www.unomaha.edu/wwwmath/CourseSyllabi/MATH2010.pdf

planar curves and curved surfaces, measurement and rigid motions. 1.2 ... Planar Curves & Curved Surfaces. 8. Measurement. 9. Rigid. Motions. 4.0. Teaching ...

#391 Arbitrary Curves (cached)
http://www-bsac.eecs.berkeley.edu/groups/bmad/solid_works_html/arbitrary_curves.htm

In order to convert an arbitrary curve into a SolidWorks sketch. ... column, z in the 3rd column, for a planar drawing put all zeros {this is typical} ...

#392 Medium Format Forum: 120mm Makro Planar - photo.net (cached)
http://www.photo.net/bboard/q-and-a-fetch-msg?msg_id=009Qpr

... G, I am not sure "very good" has necessarily a great correlation with MTF curves. ... the Rollei PQS Zeiss 120mm Makro planar (the latest), and use it a ...

#393 TECHNICAL REPORT NO. 518 Quaternion Gauss Maps and Optimal Framings of Curves and Surfaces by Andrew J. Hanson (cached)
http://www.cs.indiana.edu/pub/techreports/TR518.pdf

curves throughout this paper, one simply sweeps the chosen set of frames through each curve point ... of planar curves in the surface or. a planar area ...

#394 www.math.niu.edu/~rusin/known-math/98/density (cached)
http://www.math.niu.edu/~rusin/known-math/98/density

... infinitude) >of rational points in planar curves, and how often are we lucky ... curve is equivalent to density of rational points in these transformed curves. ...

#395 What is an Amoeba? (cached)
http://www.math.tamu.edu/~sottile/MSRI/viro.html

A planar amoeba is the image of the zero locus of a polynomial in two ... is closely related to geometry of the corresponding complex curve and its amoeba. ...

#396 Makro-Planar (cached)
http://www.hasselbladinfo.com/pdf_files/zeiss_cfi_cfe/Makro_Planar_4_120_CFE_e.pdf

selective tilting of the sharpness zone, the Makro-Planar® T ... corresponds to the upper pair of curves, the highest spatial frequency to the lower ...

#397 MASSACHUSETTS INSTITUTE OF TECHNOLOGY 13.472J/1.128J/2.158J/16.940J Computational Geometry Spring Term, 2003 (cached)
http://ocw.mit.edu/NR/rdonlyres/Ocean-Engineering/13-472JComputational-GeometrySpring2003/931B989A-F58C-42D8-80D2-F9A4F73EBCB6/0/ps3.pdf

Problem 3: Planar curve intersections. Consider the following curves: a. An implicit planar algebraic curve: f (u, v) = 64v ...

#398 Pro/ENGINEER Forum: Plane nrml to crv, thru pnt? (cached)
http://www.mcadcentral.com/proe/forum/forum_posts.asp?TID=26390

... to a (not planar) curve thru a given point near the curve or, at least, create ... they're called radial path planar curves. ...

#399 Are Trench FETs Too Fragile for Linear Applications? (cached)
http://powerelectronics.com/power_semiconductors/power_mosfets/power_trench_fets_fragile/

The results educate designers on issues concerning trench and planar MOSFETs in the linear ... pulse widths, with some SOA curves also including a dc line ...

#400 Complete Path Planning for a Planar (cached)
http://www.ee.ust.hk/~liugf/icra2004-2.pdf

... to motion planning of a planar 2-R manipulator with. point ... intersection curve and all collision curves such that they fall into. the vertical regions. ...

planar curves

#401 www.compapp.dcu.ie/~bmccaul/CA433/surface_modelling.ppt (cached)
http://www.compapp.dcu.ie/~bmccaul/CA433/surface_modelling.ppt

In the Cartesian plane, an explicit equation of a planar curve is given by y = f(x) ... curves such as circles and ellipses must be represented by multiple curve ...

#402 Streaming Video - Fall 2000 (cached)
http://www.msri.org/publications/video/index01.html

Dietmar Bisch Subfactors and Planar Algebras 3 ... computing zeta functions of elliptic curves over finite fields and related topics. ...

#403 Create Primitives and Text in Maya 7 > About Text (cached)
http://www.informit.com/articles/article.asp?p=483790&seqNum=5

... type and making them planar (see "Creating Surfaces from Curves" in Chapter 7) ... curve has been moved in the z direction, out of alignment with the planar ...

#404 Introduction To The Special Issue On Partial Differential Equations And Geometry-driven Diffusion In - Image ... (cached)
http://www.iua.upf.es/~vcaselles/papers_v/IntroSpIssue.pdf

The same formalism can be applied to planar curves (bound- aries of planar shapes), where ... The idea is to represent the deforming curve, surface, or ...

#405 Lecture 22: Planar Graphs (cached)
http://courses.csusm.edu/math370ak/lecture22.pdf

... as a continuous curve connecting its endpoints in such a way that no two curves ... is planar ... formula for planar graphs ...

#406 PII: S0168-9002(01)01646-1 (cached)
http://ppewww.physics.gla.ac.uk/~proy/mesa_rad.pdf

Electrical characteristics of planar MESA (PM) detectors are studied as a ... a PM detector for a shaping time of 1:0 ms: The curves represent a two-Gaussian ...

#407 DMJ-IMRN Conference Abstract (cached)
http://www.math.duke.edu/conferences/dmj-imrn01/werner/index.html

ABSTRACT -- Wendelin Werner. Random planar curves and conformal invariance ... of the number a(N) of self-avoiding curves of length N on the square lattice Z x ...

#408 Contour into texture: The information content of surface contours and texture ﬂow (cached)
http://www.cvs.rochester.edu/people/d_knill/papers/postscript/texture_flow.pdf

... texture ﬂow lines that project from such curves and shows how they can be used to ... to a geodesic curve is equal to the surface normal and its curvature ...

#409 Abstract, Dedication, and Introduction (cached)
http://ronrecord.com/PhD/intro.html

... theory of planar endomorphisms, especially the theory of critical curves and the ... curves passing through a saddle point of a planar endomorphism, ...

#410 Curve and Surface Reconstruction From Regular and Non-Regular Point Sets (cached)
http://www.cs.jhu.edu/~misha/Fall05/Papers/boyer01.pdf

planar curves and surfaces verifying a local sampling crite- rion. ... Figure 3. Interpolants of non-regular planar point sets. a. Sample points on a curve. ...

#411 Okino IGES 5.3 Geometry Import Converter (cached)
http://www.okino.com/conv/imp_iges.htm

Okino Computer Graphics develops and markets a broad range of 3d rendering, visualization, 3d data translation/conversion ... a trim curve on a NURB surface) ... Convert Closed Curves into Planar Faces ...

#412 hopf.math.purdue.edu/Siebenmann/Schoen-02Sept2005.txt (cached)
http://hopf.math.purdue.edu/Siebenmann/Schoen-02Sept2005.txt

... and imply (ST) when applied to planar curves; see the books by R. Courant (1950 ... requires the Jordan curve theorem for pl Jordan curves _ call this (PL ...

#413 Leonard Euler on the Center of Similitude (cached)
http://math.dartmouth.edu/~euler/Estudies/White.pdf

objects of study are planar curves which are similar to their own evolutes). In the current ... Consider first a planar problem, a variant ...

#414 OPTIMAL SYNTHESIS OF PLANAR FIVE-LINK MECHANISMS FOR THE PRODUCTION OF NONLINEAR MECHANICAL ADVANTAGE (cached)
http://scholar.lib.vt.edu/theses/available/etd-03292001-140107/unrestricted/finalthesis.pdf

... technique for the optimal synthesis of planar five-link mechanisms ... and mechanism resistance curves [Soper, 1995]. Strength curve normalization accounts ...

#415 The Dirty Little Secrets of NURBS (cached)
http://www.pilot3d.com/NurbSecrets.htm

... exactly and that all planar cuts are calculated or ... You would then define polylines or curves that overlay the bitmap curve images on the screen. ...

#416 Polygonal Approximation of Closed Curves across Multiple Views (cached)
http://www.iiit.net/techreports/202_1.pdf

The transformation of a planar shape as ... closed curve as a 2D polygon – provides a simple repre- sentation of the planar object boundary. ...

#417 Medium Format Forum: 100 CF vs. 120 Makro Planar CF - photo.net (cached)
http://photo.net/bboard/q-and-a-fetch-msg?msg_id=000PxL

I prefer 100 CF and sold the 120 Makro-Planar, which I found tern. ... before the MTF curves become similar.</p></li> <li><p>The 100 may be a little ...

#418 Estimating the uncertainties due to truncation in planar near-field holograms (cached)
http://www.nearfield.com/amta/AMTA04_AN.htm

Sample curves are generated to illustrate the technique. ... part shown by the large dashed curve over the aperture region represents the ...

#419 The Development of Some Formulas on Velocity, Curvature, and Acceleration (cached)
http://www.sju.edu/~pklingsb/curvature.pdf

Thus, for a planar curve, it gives the instantaneous rate, in radians per ... the curve at r(t). V. Curvature of planar curves. ...

#420 Shape Statistics (cached)
http://www.eleves.ens.fr/home/charpiat/lab/curves.pdf

We use the Level-Set technique, ie we represent a curve by the ... Curve Warping. Let A and B be two planar curves. We would like to warp conti- nuously A to B. ...

#421 Shock-induced martensitic phase transitions: critical stresses, Riemann problems and applications (cached)
http://www.acm.caltech.edu/~bruno/ob_vayn.pdf

result from the impact of a planar projectile on the free surface of a ® ... case of gas dynamics, wave curves are particularly simple: a wave curve equals ...

#422 Ellipse Perimeter Approximations (cached)
http://www.ebyte.it/library/docs/math05a/EllipsePerimeterApprox05.html

... a and use the resulting curves to compare the various approximations ... the geometric point of view, any planar curve obtained from Eq.(1) by means of ...

#423 RenderMan - Developers Corner - Geometric Primatives (cached)
https://renderman.pixar.com/products/rispec/rispec_3_1/section5.html

nvertices is the number of vertices in a single closed planar convex polygon. ... the trimming curves is a non-uniform rational B-spline curve in homogeneous ...

#424 Problem Set 2 (cached)
http://www-swiss.ai.mit.edu/classes/6.001/FT96/psets/ps2/ps2-hops.pdf

We're going to develop a language for de ning and drawing planar curves. ... As with many fractal curves, the shape of the Gosper curve is determined by the ...

#425 3DLDF User and Reference Manual (cached)
http://www.gnu.org/software/3dldf/manual/user_ref/3DLDF/Querying-Regular-Closed-Plane-Curves.html

... Closed Plane Curves, Next:Regular Closed Plane Curve Intersections, Previous: ... have been manipulated into a non-planar state, by shearing, for example. ...

#426 An algebraic geometric approach to integrable maps of the plane (cached)
http://web.maths.unsw.edu.au/~jagr/JRV06.pdf

... of a birational map on an elliptic curve over a ﬁeld ... Weierstrass curves. Other planar integrable rational maps conjugate to translations have been ...

#427 Topic 2 - Geometric Modeling of Curves II (cached)
http://www.seas.upenn.edu/~cse410/curvemod-4.pdf

which is made of curve segments deﬁned by low degree ... For the sake of simplicity, let us consider a planar parametric. curve. q : A A. 2 , ...

#428 Using the Atomic Force Microscope to Study the Interaction between Two Solid Supported Lipid Bilayers and the ... (cached)
http://www.biophysj.org/cgi/content/full/87/4/2446

... Typical force-versus-distance curve measured on a planar mica surface with a ... Force curve observed on DOTAP in 10 mM KNO3 after taking 306 force curves at the ...

#429 SHAPE REPRESENTATION CLASSIFIED BIBLIOGRAPHY (cached)
http://www.ime.usp.br/~cesar/shapecb.htm

... pattern recognition using the scale-vector representation of planar curves. ... A theory of multiscale, curvature-based shape representation for planar curves. ...

#430 Phased-Array Simulation For Antenna Test Range Design (cached)
http://www.nearfield.com/amta/Amta98_djr.htm

Planar near-field antenna test facilities are increasingly being used for the ... allows the generation of parametric curves which show the impact of particular ...

#431 eScience Lectures Notes : Spline Curves, Bezier, B-Spline... (cached)
http://escience.anu.edu.au/lecture/cg/Spline/printCG.en.html

... plane, an explicit equation of a planar curve is given by y = f(x), where ... Often we will want to represent a curve as a series of curves pieced together ...

#432 CBISECTOR (cached)
http://lumimath.univ-mrs.fr/~jlm/cours/irit80/node85.html

... equality of tangents or normals of the given curve or curves, respectively. ... one for to planar curves as a set of bisector curves, and the other as ...

#433 3D Software: AnvilCAD Lite (cached)
http://www.mcsaz.com/lite/3d-software.htm

Full featured section analysis and curve analysis to give power to the 3D ... All planar curves (circles, conics and splines) can be defined and any view ...

#434 Create Coronal Loops Via Splines (cached)
http://science.nasa.gov/ssl/pad/solar/CurveHome.html

... of the curve For a introduction to Bezier spline curves and their extension ... This is a 3D extension of the method above which creates planar curves. ...

#435 www.nd.edu/~sommese/colloqUMN1006.ppt (cached)
http://www.nd.edu/~sommese/colloqUMN1006.ppt

... bar-planar linkage coupler curves. Background ... What is an algebraic curve? Curves are ancient, beautiful, and useful. ... Planar four-bar coupler curves ...

#436 Rudy Rucker's KappaTau Space Curve Paper (cached)
http://www.cs.sjsu.edu/faculty/rucker/kaptaudoc/ktpaper.htm

They trace out curves in space that are marvelously three-dimensional. ... the bending of the planar, "shadow" curves, Clairaut drew on recent work ...

#437 SiON high-refractive-index waveguide and planar lightwave circuits (cached)
http://www.research.ibm.com/journal/rd/472/bona.html

The solid curve represents the experimentally optimized flattened spectrum. ... Excellent correlation between experimental curves and the model has been ...

#438 Robust Shape Recovery from Occluding Contours Using a Linear Smoother (cached)
http://www.hpl.hp.com/techreports/Compaq-DEC/CRL-93-7.pdf

... plane is the osculating plane for the epipolar curve, the epipolar curves should ... to the rotation axis, so that the epipolar curves are not planar, and the ...

#439 Energy and length in a topological planar quadrilateral (cached)
http://www.math.uga.edu/~saarh/LengthEnergy35.pdf

(with respect to some extremal metric) of conjugate families of curves in a quadrilateral ... Let γ be a shortest curve connecting P. 2. and P. 4 . It is ...

#440 Polygonal Approximation of Closed Curves across Multiple Views (cached)
http://cms.brookes.ac.uk/staff/PawanMudigonda/kumar02.pdf

The transformation of a planar shape as ... approximation of closed curves that is invari- ant ... a given closed curve as a 2D polygon – provides a simple ...

#441 AMERICAN MATHEMATICAL MONTHLY -April 2007 (cached)
http://www.maa.org/pubs/monthly_apr07_toc.html

... math.arizona.edu Curve shortening flow is a way of continuously untangling complicated curves into curves that eventually resemble planar circles shrinking ...

#442 Rhino World (cached)
http://www.rhino3d.e-cnc.com/

Select In/Out/Intersect of selected closed planar curve (v3) ... Creates a cross section Curtate Cycloid curves for violin top body part ...

#443 READING MTF CURVES (cached)
http://medfmt.8k.com/mf/mtfuse.html

... for lenses means that MTF curve for them are 'sufficiently smooth' ... that MTF curves for a lens being sharp in the (non-planar) image surface and ...

#444 Rendering Parametric Surfaces in Pen and Ink (cached)
http://grail.cs.washington.edu/pub/papers/winkenbach96.pdf

shaded surfaces, and we used BSP trees both for creating a planar ... ray-tracing approach is used to render curves on free-form objects. ...

#445 publications.html (cached)
http://www.williams.edu/Mathematics/fmorgan/publications.html

... curve, often of constant curvature, which minimizes ... Planar curves minimizing length for given area are classically characterized as circular arcs. ...

#446 §1.2 Convex polygons (continued) (cached)
http://www.cs.uu.nl/docs/vakken/gmspr/GMPR_lect3_200206.pdf

A graph is planar exactly if it can be embedded ("drawn") in the plane so that no two edges ... E curves, so that the end points are at. the respective vertices ...

#447 breakdown (cached)
http://ece-www.colorado.edu/~bart/book/breakdown.htm

... p-n diodes are truly planar and typically have higher electric ... planar (top curves), cylindrical (middle curves) and spherical (bottom curves) junction. ...

#448 Techno 3-D Digitizer (cached)
http://www.techno-isel.com/Tis/pdf/digit3.pdf

... curves: point, line, polyline, free-form curve, ... from planar curves, rectangle, extrude, ribbon, ... cone, ellipsoid, torus, extrude planar curve, ...

#449 BREP Render Display Settings (cached)
http://www.npowersoftware.com/nPowerSoftware/PowerNurbs/QuickHelp/PN_OffsetSketch.htm

... command allows you to offset sketches using either 2-D Planar or 3-D offsetting. ... 1) Pick and make active a single sketch curve to be offset. ...

#450 Planar Inlet Design and Analysis Process (PINDAP) (cached)
http://www.grc.nasa.gov/WWW/RTE/docs/NASA-TM-2005-213866.pdf

For planar. flow, the geometry is relatively simple and consists of lines and curves. ... The slopes of the ends of the NURBS curve are ...

#451 California NanoSystems Institute (cached)
http://www.cnsi.ucla.edu/arr/paper?paper_id=196885

... systems include measuring dose-response curves for single cells, high-throughput ... working to develop a micromachined planar patch-clamp system with integrated ...

#452 www.mathcs.emory.edu/~mic/mapgraphs/foo (cached)
http://www.mathcs.emory.edu/~mic/mapgraphs/foo

... are seeking a recognition algorithm for the intersection graphs of planar curves. ... but with adjacency only for those pairs of nations sharing a curve segment. ...

#453 CADKEY (cached)
http://www.engr.uconn.edu/~ewebhk/buttons/cad/cadkey/solids/chapters/chs13.pdf

The chain of curves does not need to be coplanar, but if any curve is a spline, it must ... solid body by revolving a planar closed set of curves around an ...

#454 University of Cambridge Statistical Laboratory (cached)
http://www.statslab.cam.ac.uk/Rollo/poster.htm

Random planar curves and conformal invariance ... that the number a(N) of self-avoiding curves of length N on the square lattice Z ...

#455 Geometry and Algorithms for (cached)
http://www.mathematik.tu-darmstadt.de/~ehartmann/cdgen0104.pdf

The normalform of a planar curve. 30. 3. 4.2. Displaying Parametric Curves in IR. 2. 32 ... planar curves. 39. 4.5.1. Foot point on a parametric curve, curve ...

#456 Nodally 3-connected planar graphs and convex combination mappings (cached)
http://www.maths.tcd.ie/report_series/tcdmath/tcdm0616.pdf

Jordan curves. A Jordan curve is a subset of R. 2. homeomorphic to the unit circle. S ... and outside Jordan curves. If J is a Jordan curve and e = {u, v} ...

#457 Fundamental modal phenomena on isotropic and anisotropic planar slab dielectric waveguides - Antennas and ... (cached)
http://www.uwm.edu/~george/YH2003.pdf

Dispersion curves for the first four modes of an anisotropic planar ... Dispersion curves of bound and leaky modes for an isotropic planar waveguide having ...

#458 Minimal Discrete Curves and Surfaces (cached)
http://www.eecs.harvard.edu/~sjg/papers/danilthesis.pdf

... be seen as a generalization of the "shortest path problem over a planar ... curve C and simply narrow the set of possible valid curves on the primal graph. ...

#459 IronCAD 7.0 New Features (cached)
http://www.ironcad.com/product/IronCADV7/IronCAD7.htm

Planar Face Though Point - Select a planar face and a point for the plane ... How to - Select the Iso-Parametric Curve option from the 3D Curves Toolbar. ...

#460 Regular article (cached)
http://www.iam.fmph.uniba.sk/institute/sevcovic/papers/cl23.pdf

ow of planar curves by the position vector x which is a solu- tion to the geometric equation ... Γ is a planar curve in Ω R. 2 (see Fig. 1) ...

#461 Statistical Inferences on Shape Manifolds Version V.6 (05/02/05) (cached)
http://www.aimath.org/WWN/shapemanifolds/schedule.pdf

Representations/Metrics for Shapes of Planar Curves. David Mumford, Brown University ... Curve-straightening flows, Non unit-speed parameterizations, ...

#462 Intro To Surface Prototyping for Industrial Design (cached)
http://www.uiowa.edu/~image/projects/3D_Tutorials/Tutorial-PPSP/PPSP.html

... surface requires all points within any of its polygons to be planar. ... Degree-3 curves will be created with CVs using either the curve snap or cv/edit ...

#463 Education " Math-related Programs " automata.zip - Free Downloads at Simtel.net (cached)
http://www.simtel.net/product.php[url_fb_product_page]30904

Visualization of hierarchical planar curves ... Visualization of hierarchical planar curves. Services & Actions. Name. Description ...

#464 Glossary - Planar Monolithics Industries (cached)
http://www.planarmonolithicsindustries.com/pmi/sform/glossary/

... and minimum temperature extremes, producing curves over the entire power level ... worse case deviation of the logging curve from a "Best Fit Straight Line" ...

#465 The Mathematical Tourist (cached)
http://www.fortunecity.com/emachines/e11/86/tourist4c.html

A circle, although it curves through two dimensions, is an ... fall on a curve. ... stays on the equator, now seen as a circle on the planar map. ...

#466 ESPRIT CAM Software - The Right Choice (cached)
http://www.dptechnology.com/jp/mold_3axis.asp

... by Z-plane tool motion and the planar edges by constant 3D step concentric paths. The calculation of bi-tangency limit curves is optimized to produce fluent and ...

#467 Circle Planarity of Level Graphs (cached)
http://www.infosun.fim.uni-passau.de/~chris/down/CirclePlanarityOfLevelGraphs.pdf

Each edge is drawn as a continuous curve between its two end. points. ... as strictly y-monotone curves without crossings. Alternatively, level planar graphs ...

#468 Optical phase shifts and diabolic topology in M" obius-type strips (cached)
http://physics.gmu.edu/~isatija/PAP/MSfinal.pdf

... traverses non-planar cyclic paths described by the boundary curves of closed twisted strips. ... curve of a non-orientable strip is not a knot. Figure 1 ...

#469 planar graphs (cached)
http://wwwteo.informatik.uni-rostock.de/isgci/classes/gc_43.html

... (drawn with points for vertices and curves for edges) without crossing edges. ... 2-outerplanar 2-subdivision planar K4-minor-free bar visibility domination ...

#470 CMSC 754 Computational Geometry (cached)
http://www.cs.umd.edu/~mount/754/Lects/754lects.pdf

... used often to describe algorithms for manipulating curves and surfaces in solid ... to approximate curved objects with piecewise planar polygons or ...

#471 Minimal Covers for Closed Curves [Nattapol Ploymaklam] (cached)
http://www.swarthmore.edu/NatSci/math_stat/webspot/Ploymaklam,Nattapol/Worm/index.html

Swarthmore ... smallest planar region that can accommodate any closed curve of ... Curve in a Cube. The Current Status on the Cover for Closed Curves. Closed ...

#472 e-Lecture notes on Brownian Motion (cached)
http://www-math.mit.edu/~kang/bm/index.html

planar Brownian motion & its frontier ... evolution, Lectures on random planar curves and Schramm-Loewner evolutions for this. ...

#473 Torsion -- from Wolfram MathWorld (cached)
http://mathworld.wolfram.com/Torsion.html

A curve with curvature is planar iff . The torsion can be defined by (1) ... torsion in Modern Differential Geometry of Curves and Surfaces with Mathematica. ...

#474 Algorithmic Problems On Graph Minors (cached)
http://www.math.ohio-state.edu/~robertso/95ONR_VG.html

The planar case is fairly well understood, and has some features that make it ... number of points in which such curves meet the graph measures the degree ...

#475 Abstract for cham-cipollaCVPR97 (cached)
http://svr-www.eng.cam.ac.uk/reports/abstracts/cham-cipollaCVPR97.html

... as well as by implementing temporal constraints imposed by curve rigidity. ... In the case of tracking planar curves, the canonical frame model is developed ...

#476 Nonlinear and Asymmetric Open Channel Characteristics of an Ion-Selective Porin in Planar Membranes -- Mathes and ... (cached)
http://www.biophysj.org/cgi/content/full/75/3/1255

... of conductance measurements in planar lipid bilayers of the ... ( C) Current-voltage curve. Note the asymmetry and nonlinearity of the curves in B and C. ...

#477 Text Curves (cached)
http://www.flay.com/text/textcurves.htm

Text Curves. I am new to animation, I am using Lightwave 4.0, and can't ... in modeler, but this causes non-planar polys and also distorts the dimensions of ...

#478 Math 103 Schedules (cached)
http://www.humboldt.edu/~mef2/sched.html

Space Filling Curves- Fractals. Begin: the Mobius Band ... Curves and Surfaces. Continuity and Dimensions. Accounting for Geometry (Planar and Non-Planar) ...

#479 MoI discussion forum > New Sep-4-2006 beta available now. (cached)
http://moi3d.com/forum/messages.php?webtag=MOI&msg=56.1

... Revolve, Rail Revolve, Sweep, Blend, Offset curve, Planar curve, and Loft. ... tools for the curves, you just use the regular curve edit tools (which show ...

#480 STUDY DAY (cached)
http://www.cs.kuleuven.ac.be/~ade/.WWW/WOG/biology.html

... 2 are computed along the bifurcation curves and allow one to compute new ... we consider a two-dimensional planar system that describes a stage-structured ...

#481 Copyright by Yi-Shao Lai 2002 (cached)
http://www.lib.utexas.edu/etd/d/2002/laiy026-x/laiy026-x.pdf

complements an existing asymptotic solution for planar quasi-circular cracks, ... The wavy character of the performance curve corresponding to ...

#482 Discrete Contours in Multiple Views: Approximation and Recognition (cached)
http://gdit.iiit.net/~saurabh/ShapeRec.pdf

Recognition of discrete planar contours under similarity ... computes a piecewise parametric approximation of the discrete curve that is projectively ...

#483 Wavelet Approximation-Based Affine Invariant Shape Representation Functions (cached)
http://csdl2.computer.org/persagen/DLAbsToc.jsp?resourcePath=/dl/trans/tp/&toc=comp/trans/tp/2006/02/i2toc.xml&DOI=10.1109/TPAMI.2006.43

In this paper, new wavelet-based affine invariant functions for shape ... Multiscale, Curvature-Based Shape Representation for Planar Curves," IEEE Trans. ...

#484 Lectures on Probability Theory and Statistics - Probability Theory and Stoch...Journals, Books & Online Media | ... (cached)
http://www.springer.com/east/home?SGWID=5-102-22-29182624-0&changeHeader=true

Lectures on Probability Theory and Statistics - Probability Theory. ... random planar curves. scaling limits for random variables and processes ...

#485 MachineDesign.com: A fresh look at surface modeling (cached)
http://www.machinedesign.com/ASP/viewSelectedArticle.asp?strArticleId=55621&strSite=MDSite&Screen=CURRENTISSUE

An equation defines the shape of every curve and curves define a surface. ... lofted, extruded, swept, offset, filleted, blended, planar boundary, and drafted. ...

#486 A Survey of Planar Homography Estimation Techniques (cached)
http://www.iiit.net/techreports/2005_14.pdf

... from simple points to a complex ones like non-parametric curves. ... A planar polynomial algebraic curve of order. is represented by a polynomial containing ...

#487 Plotting Planar Curves (cached)
http://www.lushcurves.com/plotting-planar-curves.html

curves merchandise. Plotting Planar Curves. Planar curves are given in ... curves franchises. Fitness Workout Video Information and Tips at Fitness Workout ...

#488 www-personal.umich.edu/~turner/Arch521/SOLID.DOC (cached)
http://www-personal.umich.edu/~turner/Arch521/SOLID.DOC

... create wireframe models by positioning 2D (planar) objects anywhere in 3D space. ... and then converts polylines, lines and curves that form closed planar loops. ...

#489 Hydrodynamics: Unstable Hydrodynamics (cached)
http://www.llnl.gov/science_on_lasers/08Hydro/Hyd-C_Unstab.html

... investigation for the study of planar instabilities in high-energy-density matter. ... Note that the curves, which represent different times in the evolution, are ...

#490 The Planar Chaos Standard Review (cached)
http://mtgsalvation.com/538-the-planar-chaos-standard-review.html

It is way out of color, and it curves out way too well for the color of ... The LD deck can curve out on Avalanche Riders and the Wurm in the 4 drop slot, ...

#491 Interaction Techniques for 3D Modeling on Large Displays (cached)
http://www.billbuxton.com/3DtapeDrawing.pdf

on any of the curves (at which point the selected curve becomes ... non-planar curves will need to be supported. Figure 7. Viewpoint markers. ...

#492 Delaunay Reﬁnement by Corner Lopping (cached)
http://cam.ucsd.edu/~spav/pub/colopIMR14.pdf

Algorithm accepts a planar straight line graph, and outputs a Delaunay mesh ... Where input curves meet with small curve separation, the output mesh ...

#493 Creating Spline and Text Shapes (cached)
http://grove.ufl.edu/~ind2460/spline01.pdf

Generate planar and thin 3D surfaces. Define loft components such as paths, shapes, and fit curves ... small straight lines that approximate the true. curve. ...

#494 NX I-deas Master Surfacing (cached)
http://www.ugs.com/products/nx/docs/fs_ideas_surfacing_set.pdf

... in-place" concept for planar geometry. and extends it ... Curve operations. • Fit curves through unevenly spaced points, or through a series of points on a ...

#495 Drawing in Space using the 3D Tractus (cached)
http://pages.cpsc.ucalgary.ca/~ehud/Publications/3D_TRACTUS.VR.pdf

additional flexibility for directly sketching non-planar. curves. ... dimension of the curve, the user simply slides the tablet up ...

#496 14.10. Lines of Curvature, Geodesic Torsion, Asymptotic Lines (cached)
http://www.seas.upenn.edu/~cis70005/cis700sl10pdf.pdf

is either a planar point or an umbilical point, since principal ... curves C. Also, for a curve for which θ = 0, we have τ. g = τ. ...

#497 Intro to Curves (cached)
http://www.cs.drexel.edu/~david/Classes/CS430/Lectures/L-07_IntroCurves.6.pdf

curve wiggles thru each control point. – Issue: not good if you ... Non-planar. 15. Parametric Curves. • Cubic Polynomials. that define a. parametric curve ...

#498 Surface Recognition by Registering Data Curves from Touch (cached)
http://www.cs.iastate.edu/~jia/papers/IROS06.pdf

for a possible location of the curve intersection on the model ... The data curves do not need to be planar as long as we can re ...

#499 SWIMMING WITH THREE-DIMENSIONAL FLAGELLAR BENDING WAVES (cached)
http://www.its.caltech.edu/~brokawc/Suppl3D/Swim3D.pdf

comparison of swimming by helical or planar bending waves. ... The lower two curves, with solid points, show ... curve, and is shown in Fig. 2 by the heavy ...

#500 Curriculum_Vitae (cached)
http://www.math.neu.edu/~shah/publications.html

... metric on the space of planar curves", Workshop on the Mathematical Foundations ... 'Riemannian Drums, Curve Evolution and Segmentation'', Journal of Visual ...

planar curves

#501 Auto CAD Lite: AnvilCAD Lite (cached)
http://www.mcsaz.com/lite/auto-cad-lite.htm

Full featured section analysis and curve analysis. ... All planar curves (circles, conics and splines) can be defined in any view (work ...

#502 MULTIPLE REPRESENTATIONS (cached)
http://www.ncgia.ucsb.edu/Publications/tech-reports/89/89-11.PDF

and the evolution properties of planar curves, Proceedings, IEEE Conference ... Method of Interpolation and Smooth Curve Fitting Based on. Local Procedures. ...

#503 UGS: UGS Velocity Series: Femap Features (cached)
http://www.ugs.com/products/velocity/femap/features.shtml

Extrude and revolve geometric curves or line elements into shell elements, shell ... Planar and surface: quads and triangles. 3-D solid: tetra, wedge and brick. ...

#504 Gallery - Solid Modeling Solutions (cached)
http://www.smlib.com/gallery.html

Figure 16: Surface/Surface Intersection with curve knots displayed ... Figure 3: Classification of curves. Figure 4: Planar sectioning ...

#505 Minimum Induced Drag of Sail Rigs and Hydrofoils (cached)
http://www.tspeer.com/Planforms/Planar.htm

... only optimal for the restricted case of an isolated planar wing in uniform flow. ... Eventually, the curve at the right hand edge of the carpet plot would become ...

#506 Reconstruction of Quadratic Curves in 3-D from Two or More Perspective Views (cached)
http://www.caip.rutgers.edu/~balaiitm/research/math-prob-engg.pdf

In the case of planar. curves, they have assumed the ... perspective projections of a quadratic curve G in 3-D space be a pair of quadratic curves G ...

#507 From Subspaces to Submanifolds (cached)
http://www.merl.com/papers/docs/TR2004-134.pdf

Where ever a manifolds curve away from their tangent spaces, this ... planar curves, is possible because each planar pair can be arbitrarily weighted in ...

#508 Planar Voronoi Diagrams via Fortune's Algorithm (cached)
http://www.amath.washington.edu/~dnlennon/voronoi/

... line and the source points above it uniquely define a set of parabolic curves. ... the beach line to be the value of the parabolic curve with minimum y value. ...

#509 4 Patchworking real algebraic curves (cached)
http://www.pdmi.ras.ru/~olegviro/dequant/4Patchworking_real_algebrai.html

we restrict to the case of nonsingular planar curves, ... consider only the part of the curve contained in the first quadrant (what ...

#510 Publication Abstracts (cached)
http://www-cs.engr.ccny.cuny.edu/~wolberg/abstracts.html

... determine the smoothest possible curve that passes through its ... which are delimited by arbitrary, closed, planar curves, e.g., hand-drawn curves. ...

#511 nurbs curve to poly - Board Index (cached)
http://www.highend3d.com/boards/index.php?showtopic=4922

polys render in the hardware renderer, curves do not ... planar' always produces gaps, no matter what the resolution of tesselation. ...

#512 Fr' echet Distance for Curves, Revisited (cached)
http://www.cs.utsa.edu/~carola/ESA06A_wang.pdf

Unfortunately, the Hausdorﬀ distance does not reﬂect curve similarity well ... planar curves. Algorithmica, 38(1):45–58, 2004. [AST94] P. K. Agarwal, M. ...

#513 Three-dimensional Dynamic Susceptibility-weighted Perfusion MR Imaging at 3.0 T: Feasibility and Contrast Agent Dose... (cached)
http://radiology.rsnajnls.org/cgi/content/full/234/3/869

... three-dimensional echo-shifted echo-planar imaging (repetition time msec/echo ... Respective time-signal intensity curves are presented in e for perfusion study ...

#514 Shape representation and recognition through morphological curvature scale spaces (cached)
http://www.cs.rug.nl/~roe/publications/curvature_ip.pdf

recognition of both planar curves as well as surfaces in 3-D. space. ... cient to determine a planar curve, up to a rigid transform. ...

#515 Book embeddings of graphs and a theorem of Whitney (cached)
http://www.georgetown.edu/faculty/kainen/pbip3.pdf

graph cannot exceed 4 and examples are known of maximal planar graphs ... of F and continuous curves joining it to each vertex in the boundary of the ...

#516 Subindex: PlaceEnumPosition .. PlanePtSet (cached)
http://www.math.lsu.edu/magma/indp8.htm

Planar. IsPlanar(G) : GrphMultUnd -> BoolElt, GrphMultUnd ... Genus and Singularities (ALGEBRAIC CURVES) The Upper Half Plane (SUBGROUPS OF PSL_2(R) ...

#517 anderswallin.net " CAM (cached)
http://www.anderswallin.net/cam/

... much simpler curve and surface ... are based on planar two-dimensional curves. ... be applied for all planar curves, but something more advanced ...

#518 NOVEL INSERTION DEVICES* (cached)
http://accelconf.web.cern.ch/AccelConf/p03/PAPERS/TOAB004.PDF

PLANAR UNDULATORS. A sample set of tuning curves intended to guide a user ... the period where the peak in the tuning curve falls at that ...

#519 Gradients, preferred metrics and asymmetries (cached)
http://www.math.niu.edu/~alinner/RevisedFinalPap16.pdf

only use local data, such as curve shortening, yield partial differential equations. ... If the flow takes place in the space of closed planar curves of rotation ...

#520 USERS' MANUAL for MONT3D - Code Version 2.4 by Charles N. Zeeb, Patrick J. Burns, and Klemens Branner (cached)
http://www.colostate.edu/~pburns/monte/m3dmanual.pdf

... planar ... are presented below in terms of material property curves, outgoing direc ... as a single, constant value, or by reference to a curve which must subse ...

#521 Flipping Cubical Meshes (cached)
http://compgeom.cs.uiuc.edu/~jeffe/pubs/pdf/cubeflip.pdf

... and three curves, we can invert the triangle by passing one curve across the ... Whitney-Graustein theorem: Or how to untangle closed planar curves. SIAM J. ...

#522 Desktop Publishing " Computer-Aided Design Programs " ST Planar Four-bar 01 Free Downloads at Simtel.net (cached)
http://www.simtel.net/product.php[id]54894[SiteID]simtel.net

ST Planar Four-bar is a useful CAD tool for mechanism design, which can animate planar four-bar linkages and output the corresponding coupler curves for ...

#523 B' ezier Curves (cached)
http://cagd.cs.byu.edu/~557/text/ch2.pdf

a planar curve. Our discussion of the de Casteljau algorithm, degree elevation, and hodographs ... curves provide more control over the shape of a curve ...

#524 Visualizations for Volumes of Solids in Calculus (cached)
http://mathdemos.gcsu.edu/mathdemos/solids/index.html

Area Between Two Curves as Limits of Riemann Sums ... concerns solids generated when a planar region is revolved about the x-axis. ...

#525 The novel class of mechanisms called (cached)
http://www.cim.mcgill.ca/~venkat/PUBLICATIONS/AMR_97_SYNTHESIS.pdf

for the kinematic synthesis of planar and spatial SDCSC ... each curve so as to divide the respective curves into equal. arc-length segments. ...

#526 Microsoft PowerPoint - 060217 (cached)
http://www.csis.hku.hk/seminars/2006/060217.pdf

... in this talk in the context of freeform (NURBs) curves and ... for k-pieces mold and/or for the art-gallery problems, for planar C1 freeform. curve. ...

#527 A New Model for Ribbons in R (cached)
http://www.users.muohio.edu/farmerta/Ribbons.pdf

saying that the curve C must be planar. ... if the given curve is planar. ... LT model is designed for planar curves and can be expected to provide a good ...

#528 Modeling a Mountain Bike (cached)
http://www.3drender.com/rhino/bikehtml/10.htm

Revolve the curve shown below: Deselect all, and go Surface/Sweep 2 Rails' ... holes in this surface aren't planar, you should patch the cross-section curves. ...

#529 Alice Schafer Abstract (cached)
http://www.agnesscott.edu/Lriddle/WOMEN/abstracts/schafer_abstract.htm

... singularities studied in this paper are an inflexion point and a planar point. ... of each of these points the curve can be represented by power series just ...

#530 3D Shading Tutorial (cached)
http://www.math.brown.edu/~banchoff/DrawingTutorial/3dshading.html

If we had rounded out the planar drawing's outline and smudged away its inner ... exactly what the surface looks like in between its outlines and slice curves. ...

#531 CAROLA WENK - Curriculum Vitae (cached)
http://www.cs.utsa.edu/~carola/cvCW.html

`Comparison of Distance Measures for Planar Curves'' [ps.gz, pdf] (H. Alt, C. ... electrophoresis gels and finding a curve in a map'', Tel Aviv University, ...

#532 Letter E (cached)
http://members.fortunecity.com/jonhays/letterE.htm

A planar curve (PL) whose locus (PL) consists of all points such that the sum of ... curve whose every point is tangent to a member of a family of curves. ...

#533 Algebraic Curves (cached)
http://www.eg-models.de/models/Curves/Algebraic_Curves/index.html

The order of a planar algebraic curve is the maximal number of intersection ... GH then the algebraic curve F = 0 is the union of the two curves G = 0 and H = 0 ...

#534 Magnetic reversal of ultra-thin ﬁlms with planar magnetization (cached)
http://physics.nist.gov/Divisions/Div841/Gp3/Pubs/pdf/epg711.pdf

The hysteresis curves for this model were found from numerical simulations of a classical ... The bold solid line synthesizes these two into a curve more ...

#535 Gamasutra - Features "Curved Surfaces Using Bézier Patches" [06.11.99] (cached)
http://www.gamasutra.com/features/19990611/bezier_07.htm

... if the control points used to create a curve were actually on curves themselves? ... Planar. The set of patches never connect back up with themselves. This ...

#536 Microsoft Word - spie2003 preprint version (cached)
http://www.cs.uic.edu/~super/superSPIE03.pdf

... l(k) be the arc length along the curve from the key point to sample point k, ... C. J. Kuo, "Wavelet Descriptor of Planar Curves: Theory and Applications," IEEE ...

#537 Ayam - News (cached)
http://ayam.sourceforge.net/news.html

New in CVS are now cap surfaces from non-planar curves, see this screenshot (PNG, 76K) ... the leftmost curve is of order 2 (all other curves have order 4) ...

#538 Survey of Polygonal Surface Simpliﬁcation Algorithms Paul S. Heckbert and Michael Garland 1 May 1997 (cached)
http://graphics.cs.uiuc.edu/~garland/papers/simp.pdf

... simplifying curves and surfaces ... planar curve, or a space curve. For surfaces, the ... from functions to planar curves, the complexity of the best. L ...

#539 PII: S0020-7683(01)00060-9 (cached)
http://hydro.geo.ua.edu/jiao/research/FullPaper/Qin3.pdf

It is assumed that the sliding surface of the landslides is planar and is a combi ... only when the constitutive curves of media 1 and 2 simultaneously ...

#540 Radial Level Planarity Testing and Embedding in Linear Time (cached)
http://jgaa.info/accepted/2005/BachmaierBrandenburgForster2005.9.1.pdf

which are certain level non-planar biconnected components. ... However, every planar graph has ... edges are routed as curves without crossings. ...

#541 GRAPH PLANARITY and RELATED TOPICS Robin Thomas School of Mathematics Georgia Institute of Technology (cached)
http://www.math.gatech.edu/~thomas/SLIDE/CBMS/planar.pdf

Can every planar graph be represented. as an intersection graph of simple closed curve in the ... plane such that any two curves meet at most once? 17. Y ...

#542 Learning and design of principal curves - Pattern Analysis and Machine Intelligence, IEEE Transactions on (cached)
http://www.mast.queensu.ca/~linder/pdf/KeKrLiZe00.pdf

... class of smooth curves, but no smooth curve can. achieve this ... distributed on a smooth planar curve ... curves, we also include the curve ...

#543 Metal ion modulation of cystinyl aminopeptidase (cached)
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1184589

The planar bidentate chelators 1,10-phenanthroline and 2,2′-bipyridine inhibited ... by linear regression analysis of these absorbance versus time curves. ...

#544 Spanning trees and spanners (cached)
http://fano.ics.uci.edu/cites/Document/Spanning-trees-and-spanners.html

Geometric dilation of closed planar curves: a new lower bound ... geometric dilation of curves and point sets ... Many distances in planar graphs ...

#545 William Minicozzi (cached)
http://www.mathematics.jhu.edu/minicozzi/

... in a continuous way, pulling each curve as tight as possible yet preserving the sweepout. ... Planar domains (Embedded minimal surfaces III) ...

#546 CG & CG Lab (Director: Martin Held) - Approximation, Simplification and Smoothing of Polygonal Curves (cached)
http://www.cosy.sbg.ac.at/~held/projects/biarcs/biarcs.html

Piecewise curvilinear approximation of planar curves is a useful technique in ... The general goal is to represent a curve by a sequence of circular arcs and ...

#547 Syllabus (cached)
http://www.basline.com/rhinomarine/syllabus.htm

Derived curves. Projecting curves onto surfaces. Curves from two planar views. Curves from edges ... Extrude curve. Network surface. Pipe. Clean vs. dirty ...

#548 USC-SIPI REPORT #238 (cached)
http://sipi.usc.edu/reports/abstracts/usc-sipi.238.html

"A Wavelet Descriptor of Planar Curves: Theory and Applications" ... a hierarchical planar curve descriptor which decomposes a curve into components ...

#549 Modeling lobed leaves (cached)
http://algorithmicbotany.org/papers/leaves.cgi2003.pdf

... then constructed by sweeping a generating curve along these splines. ... a planar generating curve between ... skeleton are speciﬁed as planar. curves. ...

#550 Teaching Interests (cached)
http://www.eee.bham.ac.uk/spannM/B%20Splines%20Applet.html

B-spline closed planar curves. Check out my B-spline planar curve drawing applet. ... Click on the 'plot' button and the closed planar curve will be drawn. ...

#551 doi:10.1016/S0010-4485(03)00117-9 (cached)
http://www.cs.ust.hk/~taicl/papers/CADgeodesic.pdf

such as a dress, is usually characterized by some key curves, ... happens to be a planar curve but it need not be so in general. ...

#552 Recognising two planar objects under a projective transformation (cached)
http://www.math.canterbury.ac.nz/~m.hickman/thesis/Hann.pdf

One invariant is the projective curvature which characterises all curves ... In practical cases C does not have a formula but is a discretised curve. ...

#553 PLANAR DOUBLE BUBBLES ON FLAT WALLS (cached)
http://math.furman.edu/~mwoodard/fuejum/content/1998/1998paper3.pdf

In this paper, we allow our bubbles to cling to walls, rigid curves that they can ... shortest curve α from Q to P such that A( P Q + α) = r is an arc of a ...

#554 The Writhe of Open and Closed Curves (cached)
http://www.ucl.ac.uk/~ucahmab/HelicityReprints/Writhe.pdf

for an open DNA molecule involves adding a straight line segment or planar curve to ... curve will often be surrounded by other almost parallel curves, we ...

#555 Algebraic Geometer's View (cached)
http://facweb.cs.depaul.edu/research/TheorySeminar/abstr051002.html

... "Some application of algebraic curves to computational vision", The first ... equation to higher genus, non planar curves will then be presented, leading to ...

#556 Index of /graphics/classes/6.837/F98/Lecture9 (cached)
http://graphics.lcs.mit.edu/classes/6.837/F98/Lecture9/

#557 RAWING SPACE (cached)
http://vlado.fmf.uni-lj.si/educa/logo/logo2ps/spacfill.pdf

... linear strings but spatial (planar) conﬁgurations; and by si ... curves, presented in ﬁgures, were produced by Logo2PS [1]. 3. Peano curve. AP. RP1. RP2. ...

#558 The Definition of Points - sci.math | Google Groups (cached)
http://groups.google.com/group/sci.math/msg/3f304f189ca0c3c0

associate with curves of various kinds and rationals and irrationals ... non planar curves through curves and transverse acceleration changes. ...

#559 Pro/ENGINEER Forum: Easy surface but... (cached)
http://www.mcadcentral.com/proe/forum/forum_posts.asp?TID=27240

... but I cannot make a surface within a closed, continuous (C1), non planar curve. ... by connecting vertices with some cross curves to break up the bounded region. ...

#560 IEEE Transactions on Pattern Analysis and Machine Intelligence, volume me 8 (1986) (cached)
http://www.ph.tn.tudelft.nl/PRInfo/volumes/IEEE.Transactions.on.Pattern.Analysis.and.Machine.Intelligence.8.html

... Scale-based description and recognition of planar curves and 2-D shapes, pp. 34-44. ... Bolles, Perceptual organization and curve partitioning, pp. 100-105. ...

#561 Pilot3D Product Information (cached)
http://www.pilot3d.com/products.htm

Curves on surfaces can be edited and faired like any other curve ... dynamic curvature curves on curves, surface rows or columns, and planar cuts ...

#562 AP: Calculus BC (cached)
http://www.collegeboard.com/student/testing/ap/calculus_bc/topic.html?calcbc

The analysis of planar curves includes those given in ... of a curve at a ... Analysis of planar curves given in parametric form, polar form, and ...

#563 proesite.com/cgi-bin/find_option.cgi?srch=INTF3D_IN_PROFILES&ver=2001 (cached)
http://www.proesite.com/cgi-bin/find_option.cgi?srch=INTF3D_IN_PROFILES&ver=2001

... type 102 composite curves in the file that are planar and not associated with ... all—all planar curve are converted into sketched datum curves ...

#564 SBS-Type Poster template (cached)
http://www.moleculardevices.com/pdfs2/BPS_2004_Herg.pdf

Inhibition curves were generated for compounds with hERG activity ... recording (left) and the planar patch clamp configuration used on the Ionworks HT ...

#565 Boundary Estimation from Intensity/Color Images with Algebraic Curve Models (cached)
http://www.sci.utah.edu/~tolga/pubs/Tasdizen_ICPR00.pdf

The boundary curves and segmented regions found are ... can be seen as a combined algebraic curve ﬁt ... Estimation of planar curves, surfaces and nonpla ...

#566 Drug Discovery & Development (cached)
http://www.dddmag.com/ShowPR.aspx?PUBCODE=016&ACCT=1600000100&ISSUE=0407&RELTYPE=PR&ORIGRELTYPE=CEL&PRODCODE=00000000&PRODLETT=I

Planar patch clampers ... to do dose-response curves, it adds the same ... It also allows dose-response curve on the same cell without worrying that the ...

#567 Creating Primatives and Text in Maya 4.5 > About Text (cached)
https://www.informit.com/articles/article.asp?p=31843&seqNum=6

... to it that you would do to any other curve or surface. ... Using this text type is the same as selecting the curves and making them planar (see Chapter 7) ...

#568 i DEVICE PHYSICS AND SIMULATION OF SILICON NANOWIRE TRANSISTORS A Thesis Submitted to the Faculty of (cached)
http://cobweb.ecn.purdue.edu/~lundstro/theses/jing_wang_thesis.pdf

curves for the triangular wire (TW) FET with <101> oriented ... for a planar FET (a) and a nanowire FET (b) calculated by using ...

#569 Instability of the wet (cached)
http://www.aquafoam.com/papers/Brakke4.pdf

Section does likewise for xed pressure Sections and consider planar wet ... curves Arcs continue as tangent rays at points A B C D. hence under the arc ray curve ...

#570 Minimal Surfaces (cached)
http://www-irm.mathematik.hu-berlin.de/~gollek/MinSurfs/min.html

'Deformations of minimal curves containing planar geodesics' ... of straight lines associated with planar curves, such as caustics and evolutes 'caustics.m' ...

#571 On the Euler Characteristic (cached)
http://www-math.mit.edu/phase2/UJM/vol1/EFEDUL~1.PDF

curves joining some pairs of them. If the graph is planar, then we ... possible to prove a graph isn't planar by using the Jordan Curve Theorem, this can ...

#572 Localization on Curved Objects Using Tactile Information (cached)
http://www.cs.iastate.edu/~jia/papers/IROS01.pdf

extreme curvatures on planar curves and reconstruct the. original curves based on these points. ... zero) for planar curve descriptions and matching. ...

#573 Multiview Reconstruction of Space Curves (cached)
http://www.maths.lth.se/matematiklth/personal/fredrik/kahl_iccv03.pdf

jection to a planar curve, and for what an "image of" such a. planar curve actually is. ... curves frequently project to smooth planar curves, occasion ...

#574 Planar Transmission Lines Planar Transmission Lines (cached)
http://www.eng.usf.edu/~saddow/eel6486/L17.pdf

Various curves for effective dielectric constant are shown in Fig. 2 ... In these curves, its assumed that the side walls are sufficiently ...

#575 more modeling (cached)
http://users.design.ucla.edu/~cariesta/MayaCourseNotes/html/body_more_modeling.html

... Edit Curves->Insert Knot to add an edit point an edit point at the curve point ... Triangles are used because they are always planar or flat, no matter what. ...

#576 PII: S0022-0248(98)01008-2 (cached)
http://math.bu.edu/INDIVIDUAL/horacio/papers/hgr_98_4.pdf

curve shortening equation), v" , and reduces to it ... Moreover planar embedded curves become convex. without developing singularities (see Ref. ...

#577 lenses for hand-held Linhof Technika? - rec.photo.equipment.large-format | Google Groups (cached)
http://groups.google.com/group/rec.photo.equipment.large-format/browse_thread/thread/ea2415d070967121/c81efe2cbcb5935f?lnk=st&q=2+schneider+lenses+symmar+135mm+f5&rnum=16&hl=en

After studying the MTF curves for various Schneider lenses (available ... only catch is that the 135 Planar is quite expensive and not easily found. ...

#578 a. General. (cached)
http://www.usace.army.mil/inet/usace-docs/armytm/tm5-818-1/ch-14.pdf

walls over 20 feet high and from semiempirical curves for. lower walls. ... coefficients based on planar sliding surfaces are. presented in figure 14-4. The ...

#579 Mechanics and Dynamics (cached)
http://www.math.kyoto-u.ac.jp/dynamics/KDD4.pdf

chase each other around a fixed analytic figure eight shaped planar curve. ... two symmetric closed curves. The most difficulty in the proof is the ...

#580 Math 3202 Important things to know (cached)
http://www.math.mun.ca/~mkondra/veccal/list.pdf

I. Curve. 1. How to describe a planar curve parametrically or by an ... 12. Find an area of a region in xy-plane bounded by few planar curves. II. Surface ...

#581 Interactive Environment for the Taylor integration (in 3D Stereo) (cached)
http://www.ski.org/gofen/TaylorCenterPC.pdf

... unique is that it can display non-planar 3D trajectories as anaglyphic stereo ... planar curves and view their 3D coordinates. ...

#582 The flexibility in the proline ring couples to the protein backbone -- Ho et al. 14 (4): 1011 -- Protein Science (cached)
http://protsci.highwire.org/cgi/content/full/14/4/1011

... sparse density in the PLANAR region (2 ~ 0°). In the curves of C-C-C ... both the model curve and the data are quite relaxed in the PLANAR region, as the ...

#583 On Optimal Tolerancing in Computer-Aided Design (cached)
http://www.geometrie.tugraz.at/wallner/tolnew.pdf

Planar disk' B'ezier curves are studied in [26] ... In the planar curve case, all auxiliary B'ezier. curves B are translates of the center curve. ...

#584 Packages (cached)
http://www.javaview.de/mathematica/tutorial/graphicsPackages.html

... in commands in 2D allow to render function graphs and parametrized planar curves. ... 2D Curves. Parametrized planar curve. ...

#585 Constrained Controlled Coverage | Projects | Sensor Based Planning Lab (cached)
http://voronoi.sbp.ri.cmu.edu/projects/prj_constrained.html

... curve typically leads to self-intersections of the ... intersections on the offset curves, the start curve should have minimum geodesic ... Planar Coverage ...

#586 Exercise gated planar myocardial perfusion imaging using technetium-99m sestamibi for the diagnosis of coronary ... (cached)
http://www.medscape.com/medline/abstract/7698154

... from receiver operating characteristic (ROC) curves derived from the data of ... sensitivity performed using the ROC curve-derived cut-off criteria, in patients ...

#587 The Helical Canal Surface (cached)
http://www.cs.cf.ac.uk/Dave/3DVG/node31.html

The class of surfaces formed by sweeping a sphere was first investigated by ... the path is a planar curve; Salmon extended the proof to cover space curves. ...

#588 EFFECT OF CRYSTAL DEFECTS ON MINORITY CARRIER DIFFUSION LENGTHS IN 6H SiC (cached)
http://www.eecs.umich.edu/dp-group/EBIC/PVSC.pdf

... n-type 6H-SiC were measured using the planar electron-beam induced current (EBIC) ... theoretically calculated diode efficiency curves, and the diffusion ...

#589 Analysis Omega Planar-Ribbon Loudspeakers Review By Wayne Donnelly (cached)
http://www.enjoythemusic.com/superioraudio/equipment/0306/analysis_omega_planar.htm

Analysis Omega Planar-Ribbon Loudspeakers Review By Wayne Donnelly, Superior Audio Magazine is the leading authority in ... killing impedance curves. ...

#590 KINEMATIC MAPPING APPLICATION TO APPROXIMATE TYPE AND DIMENSION SYNTHESIS OF PLANAR MECHANISMS (cached)
http://www.cs.mcgill.ca/~chang/pub/ARK-ApproxSynth-F.pdf

Planar. mechanism coupler motions are represented as the curves of intersection ... pencil of quadrics containing the curve. The overdetermined synthesis ...

#591 GANG | Document Library: White, B. (cached)
http://www.gang.umass.edu/preprint/authors/White_B.html

Minimal surfaces bounded by convex curves in parallel planes. postscript pdf ... The space of minimal annuli bounded by an extremal pair of planar curves ...

#592 pointpower presentation of unsolved math problems (cached)
http://www.stetson.edu/~efriedma/papers/planar.ppt

22. Squares on Closed Curves. Does every closed curve contain the vertices of a square? ... shapes, and piecewise differentiable curves without cusps. ...

#593 planar graph | English | Dictionary & Translation by Babylon (cached)
http://www.babylon.com/definition/planar%20graph/

... every edge to a plane curve, such that each curve has two extreme points, which coincide with the positions of its end nodes, and all curves are disjoint except ...

#594 Noise and the two-thirds power law (cached)
http://books.nips.cc/papers/files/nips18/NIPS2005_0535.pdf

For any regular planar curve parameterized with t, we get from the Frenet-Serret ... a deﬁnition for signed curvature for planar curves (i.e. without the absolute ...

#595 NEWAVESYS Product 1 (cached)
http://www.newavesys.com/prod01.htm

Curves on surfaces can be edited and faired like any other curve ... dynamic curvature curves on curves, surface rows or columns, and planar cuts ...

#596