Topics in Multivariate Approximation and Interpolation

by Kurt Jetter (Editor), Martin Buhmann (Editor), Werner Haussmann (Editor), Robert Schaback (Editor), Joachim Stoeckler (Editor)

Overview

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 Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. - A collection of articles of highest scientific standard - An excellent introduction and overview of recent topics from multivariate approximation - A valuable source of references for specialists in the field - A representation of the state-of-the-art in selected areas of multivariate approximation - A rigorous mathematical introduction to special topics of interdisciplinary research

Product Details

ISBN-13:	9780080462042
Publisher:	Elsevier Science
Publication date:	11/15/2005
Series:	Studies in Computational Mathematics , #12
Sold by:	Barnes & Noble
Format:	eBook
Pages:	356
File size:	8 MB

Table of Contents

1. Durrmeyer Operators and Their Natural Quasi-Interpolants (E. Berdysheva, K. Jetter and J. Stöckler)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)