โ Scribed by Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler
No coin nor oath required. For personal study only.
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.
Contents......Page 10
Durrmeyer Operators and Their Natural Quasi-Interpolants......Page 12
Three Families of Nonlinear Subdivision Schemes......Page 34
Parameterization for Curve Interpolation......Page 50
Refinable Multivariate Spline Functions......Page 66
Adaptive Wavelets for Sparse Representations of Scattered Data......Page 96
Ready-to-Blossom Bases in Chebyshev Spaces......Page 120
Structural Analysis of Subdivision Surfaces - A Summary......Page 160
Polynomial Interpolation in Several Variables: Lattices, Differences, and Ideals......Page 202
Computational Aspects of Radial Basis Function Approximation......Page 242
Learning Theory: From Regression to Classification......Page 268
Coherent States from Nonunitary Representations......Page 302
Index......Page 352
๐ SIMILAR VOLUMES
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