Muutke küpsiste eelistusi

Curve and Surface Design: Saint-Malo, 1999 [Kõva köide]

  • Formaat: Hardback, 510 pages, illustrations
  • Sari: Innovations in Applied Mathematics
  • Ilmumisaeg: 31-Jul-2000
  • Kirjastus: Vanderbilt University Press
  • ISBN-10: 0826513565
  • ISBN-13: 9780826513564
Teised raamatud teemal:
  • Formaat: Hardback, 510 pages, illustrations
  • Sari: Innovations in Applied Mathematics
  • Ilmumisaeg: 31-Jul-2000
  • Kirjastus: Vanderbilt University Press
  • ISBN-10: 0826513565
  • ISBN-13: 9780826513564
Teised raamatud teemal:
Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces.

These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas.

Curve and Surface Design includes the following topics:

B-bases
canal surfaces
conics
curvature
discrete fairing
free form surfaces
G2-splines
highlight lines
involute curves
multisided patches
NURBs and NURPs
offsets
ray tracing
ruled surfaces
sculptured surfaces
segmentation methods
shape preservation
texture
voronoi diagrams

Preface viii Contributors ix Factorizations of Normalized Totally Positive Systems 1(8) J. M. Carnicer E. Mainar Intersections et Convergence 9(8) Paul de Faget de Casteljau Implicitization Matrices in the Style of Sylvester with the Order of Bezout 17(10) Eng-Wee Chionh Ming Zhang Ronald Goldman Better Pasting via Quasi-Interpolation 27(10) Blair Conrad Stephen Mann Conjugate Silhouette Nets 37(8) W. L. F. Degen From PS-splines to NURPS 45(10) Paul Dierckx Joris Windmolders Distance Calculation between a Point and a NURBS Surface 55(8) Eva Dyllong Wolfram Luther Curves from Motion, Motion from Curves 63(28) Rida T. Farouki Curvature and Tangency Handles for Control of Convex Cubic Shapes 91(8) G. Figueroa M. Paluszny F. Tovar Monotonicity Conditions of Curvature for Bezier-de Casteljau Curves 99(10) Jean-Charles Fiorot Laurent Schiavon From Local Approximation to a G1 Global Representation 109(10) Cedric Gerot Dominique Attali Annick Montanvert A Class of Totally Positive Blending B-Bases 119(8) Laura Gori Laura Pezza Francesca Pitolli Rational Ruled Surfaces Passing through Two Fixed Lines 127(8) Gueorgui H. Gueorguiev Deformation Criteria for the Direct Manipulation of Free Form Surfaces 135(10) Stephane Guillet Jean-Claude Leon Generation of Surfaces with Smooth Highlight Lines 145(8) Masatake Higashi Hiroto Harada Mitsuru Kuroda MIPS: An Efficient Global Parametrization Method 153(10) Kai Hormann Gunther Greiner Comparison of Different Multisided Patches Using Algebraic Geometry 163(10) Kestutis Karciauskas Rimvydas Krasauskas N-sided Surface Generation from Arbitrary Boundary Edges 173(10) Kiyotaka Kato Advantages of Topological Tools in Localization Methods 183(10) Mohammed Khachan Patrick Chenin Fast Voronoi Diagrams and Offsets on Triangulated Surfaces 193(10) Ron Kimmel James A. Sethian On the Geometry of Texture 203(10) Ron Kimmel Nir A. Sochen Ravi Malladi Optimization of a Curve Approximation Based on NURBS Interpolation 213(8) Jerome Lepine Francois Guibault Marie-Gabrielle Vallet Jean-Yves Trepanier Filling N-sided Holes Using Combined Subdivision Schemes 221(8) Adi Levin Dealing with Topological Singularities in Volumetric Reconstruction 229(10) H. Lopes L. G. Nonato S. Pesco G. Tavares Linear Envelopes for Uniform B-spline Curves 239(8) David Lutterkort Jorg Peters N-sided Surfaces: a Survey 247(10) Pierre Malraison Approximated Planes in Parallel Coordinates 257(10) Tanya Matskewich Alfred Inselberg Michel Bercovier Applications of Sphere Geometry in Canal Surface Design 267(10) Christoph Maurer Geometric Computing with CGAL and LEDA 277(10) Kurt Mehlhorn Stefan Schirra A Geometric Approach for Knot Selection in Convexity-Preserving Spline Approximation 287(10) R. Morandi D. Scaramelli A. Sestini Convergence of Approximations for Arrangements of Curves 297(10) Manuela Neagu Bernard Lacolle The (2-5-2) Spline Function 307(8) Jae H. Park Leonard A. Ferrari Error Analysis of Algorithms for Evaluating Bernstein-Bezier-Type Multivariate Polynomials 315(10) J. M. Pena A Basis for Homogeneous Polynomial Solutions to Homogeneous Constant Coefficient PDEs: An Algorithmic Approach Through Apolarity 325(10) Michel Pocchiola Gert Vegter Triangular G2-Splines 335(8) Hartmut Prautzsch Georg Umlauf On Calculating with Lower Order Chebyshev Splines 343(10) Mladen Rogina Tina Bosner A Declarative Modeler for B-Spline Curves 353(10) Vincent Rossignol Marc Daniel Diffuse Curvature Computation for Surface Recognition 363(8) J. M. Savignat O. Stab A. Rassineux P. Villon Discrete Fairing of Curves and Surfaces Based on Linear Curvature Distribution 371(10) R. Schneider L. Kobbelt Triangulating Trimmed NURBS Surfaces 381(8) Chang Shu Pierre Boulanger Surface Interpolation of Non-four-sided and Concave Area by NURBS Boundary Gregory Patches 389(10) Junji Sone Kouichi Konno Hiroaki Chiyokura Central Conics on Parabolic Dupin Cyclides 399(8) Kenji Ueda Adaptive Parameterization and Approximation for CAD Data Reduction 407(10) G. Wahu J. M. Brun A. Bouras On the Geometry of Sculptured Surface Machining 417(16) Johannes Wallner Helmut Pottmann Extensions: Extrapolation Methods for CAD 433 Hans J. Wolters