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