Topics in multivariate approximation and interpolation /

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mat...

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Bibliographic Details
Call Number:Libro Electrónico
Other Authors: Jetter, K.
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; Boston : Elsevier, 2006.
Edition:1st ed.
Series:Studies in computational mathematics ; 12.
Subjects:
Multivariate analysis > Research.
Approximation theory > Research.
Interpolation > Research.
Analyse multivari�ee > Recherche.
Th�eorie de l'approximation > Recherche.
Interpolation > Recherche.
MATHEMATICS > Probability & Statistics > Multivariate Analysis.
Online Access:Texto completo
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Table of Contents:
  • Preface.
  • 1. Durrmeyer Operators and Their Natural Quasi-Interpolants (E. Berdysheva, K. Jetter and J. S�tckler).
  • 2. Three Families of Nonlinear Subdivision Schemes (N. Dyn).
  • 3. Parameterization for Curve Interpolation (M.S. Floater and T. Surazhsky).
  • 4. Refinable Multivariate Spline Functions (T. Goodman and D. Hardin).
  • 5. Adaptive Wavelets for Sparse Representations of Scattered Data (A. Kunoth).
  • 6. Ready-to-Blossom Bases in Chebyshev Spaces (M-L. Mazure).
  • 7. Structural Analysis of Subdivision Surfaces
  • A Summary (U. Reif and J. Peters).
  • 8. Polynomial Interpolation in Several Variables: Lattices, Differences and Ideals (T. Sauer).
  • 9. Computational Aspects of Radial Basis Function Approximation (H. Wendland).
  • 10. Learning Theory: From Regression to Classification (Q. Wu, Y. Ying and D-X. Zhou).
  • 11. Coherent States from Nonunitary Representations (G. Zimmermann).
  • Index.
  • Durrmeyer operators and their natural quasi-interpolants
  • Three families of nonlinear subdivision schemes
  • Parameterization for curve interpolation
  • Refinable multivariate spline functions
  • Adaptive wavelets for sparse representations of scattered data
  • Ready-to-blossom bases in Chebyshev spaces
  • Structural analysis of subdivision surfaces-a summary
  • Polynomial interpolation in several variables : lattices, differences, and ideals
  • Computational aspects of radial basis function approximation
  • Learning theory : from regression to classification
  • Coherent states from nonunitary representations.

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