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

  • Formaat: Hardback, 520 pages, illustrations
  • Sari: Innovations in Applied Mathematics
  • Ilmumisaeg: 31-Jul-2000
  • Kirjastus: Vanderbilt University Press
  • ISBN-10: 0826513573
  • ISBN-13: 9780826513571
Teised raamatud teemal:
  • Formaat: Hardback, 520 pages, illustrations
  • Sari: Innovations in Applied Mathematics
  • Ilmumisaeg: 31-Jul-2000
  • Kirjastus: Vanderbilt University Press
  • ISBN-10: 0826513573
  • ISBN-13: 9780826513571
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 Extending Lawsons Algorithm to Include the Huber M-Estimator 1(8) Iain J. Anderson John C. Mason Colin Ross A Segmentation Method under Geometric Constraints after Pre-processing 9(10) D. Apprato J. B. Betbeder C. Gout S. Vieira-Teste Building Adaptive Multiresolution Schemes within Hartens Framework 19(8) Francesc Arandiga Rosa Donat A Recursive Approach to the Construction of K-Balanced Biorthogonal Multifilters 27(10) Silvia Bacchelli Mariantonia Cotronei Damiana Lazzaro Fast Evaluation of Radial Basis Functions: A Multivariate Momentary Evaluation Scheme 37(10) R. K. Beatson E. Chacko Polyharmonic Splines in Rd: Tools for Fast Evaluation 47(10) R. K. Beatson J. B. Cherrie David L. Ragozin Constructive Approximation by (V, f)-Reproducing Kernels 57(8) Mohammed-Najib Benbourhim Adaptive Wavelet Galerkin Methods on Distorted Domains: Setup of the Algebraic System 65(10) Stefano Berrone Karsten Urban Scattered Data Near-Interpolation with Application to Discontinuous Surfaces 75(10) Renata Besenghi Giampietro Allasia On a Method of Numerical Differentiation 85(10) Mira Bozzini Milvia Rossini Ridgelets and their Derivatives: Representation of Images with Edges 95(10) Emmanuel J. Candes Curvelets: A Surprisingly Effective Nonadaptive Representation for Objects with Edges 105(16) Emmanuel J. Candes David L. Donoho Bases in Function Spaces on Compact Sets 121(14) Zbigniew Ciesielski A Note on Convolving Refinable Function Vectors 135(8) C. Conti K. Jetter Interpolating Polynomial Macro-Elements with Tension Properties 143(10) Paolo Costantini Carla Manni Quantized Frame Decompositions 153(8) M. Craizer D. A. Fonini, Jr. E. A. B. da Silva Cubic Spline Interpolation on Nested Polygon Triangulations 161(10) Oleg Davydov Gunther Nurnberger Frank Zeilfelder Stable Local Nodal Bases for C1 Bivariate Polynomial Splines 171(10) Oleg Davydov Larry L. Schumaker On Lacunary Multiresolution Methods of Approximation in Hilbert Spaces 181(10) Lubomir T. Dechevski Wolfgang L. Wendland Interpolation with Curvature Constraints 191(10) Hafsa Deddi Hazel Everett Sylvain Lazard A B-spline Tensor for Vectorial Quasi-Interpolant 201(8) Fabrice Dodu Analysis of Scalar Datasets on Multi-Resolution Geometric Models 209(10) Alexandre Gerussi Georges-Pierre Bonneau Biorthogonal Refinable Spline Functions 219(8) Tim N. T. Goodman Fitting Parametric Curves to Dense and Noisy Points 227(10) A. Ardeshir Goshtasby Smooth Irregular Mesh Interpolation 237(10) Stefanie Hahmann Georges-Pierre Bonneau Riadh Taleb Multi-Level Approximation to Scattered Data using Inverse Multiquadrics 247(8) S. J. Hales J. Levesley Best Approximation Algorithms: A Unified Approach 255(8) V. V. Kovtunets On Curve Interpolation in Rd 263(10) Jernej Kozak Emil Zagar Interpolating Involute Curves 273(8) Mitsuru Kuroda Shinji Mukai Interpolation from Lagrange to Holberg 281(10) Michel Leger Local Approximation on Manifolds Using Radial Functions and Polynomials 291(10) Jeremy Levesley David L. Ragozin Characterizations of Native Spaces 301(8) Lin-Tian Luh Review of Some Approximation Operators for the Numerical Analysis of Spectral Methods 309(16) Yvon Maday H-Bases I: The foundation 325(8) H. Michael Moller Thomas Sauer H-Bases II: Applications to Numerical Problems 333(10) H. Michael Moller Thomas Sauer Dependence Structure of Random Wavelet Coefficients in Terms of Cumulants 343(8) Philippe Naveau Peter Brockwell Doug Nychka Interpolating Functions on Lines in 3-Space 351(8) Martin Peternell Helmut Pottmann Numerical Techniques Based on Radial Basis Functions 359(16) Robert Schaback Holger Wendland Parametric Polynomial Curves of Local Approximation Order 8 375(10) K. Scherer A B-Spline Approach to Hermite Subdivision 385(8) U. Schwanecke B. Juttler An Interpolation Method with Weights and Relaxation Parameters 393(10) Chiew-Lan Tai Brian A. Barsky Kia-Fock Loe On Properties of Contours of Trilinear Scalar Fields 403(8) Holger Theisel Non-Stationary Subdivision for Inhomogeneous Order Differential Equations 411 Joe Warren Henrik Weimer