Radial Basis Functions

Theory and Implementations

By: Martin D. Buhmann, Mark J. Ablowitz (Editor), S.H. Davis (Editor), E. J. Hinch (Editor), A. Iserles (Editor)

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Hardcover | 3 July 2003

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272 Pages

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22.86 x 15.24 x 1.91

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In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a powerful tool which work well in very general circumstances and so are becoming of widespread use as the limitations of other methods, such as least squares, polynomial interpolation or wavelet-based, become apparent. The author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. For example, he emphasises the many positive features of radial basis functions such as the unique solvability of the interpolation problem, the computation of interpolants, their smoothness and convergence and provides a careful classification of the radial basis functions into types that have different convergence. A comprehensive bibliography rounds off what will prove a very valuable work.

Industry Reviews

"A must read for anyone making direct use of this tool, and a must browse for anyone interested in keeping up with the state of the art in multivariate approximation theory in general." Computing Reviews

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Preface
Introduction
Summary of methods and applications
General methods for approximation and interpolation
Radial basis function approximation on infinite grids
Radial basis functions on scattered data
Radial basis functions with compact support
Implementations
Least squares methods
Wavelet methods with radial basis functions
Further results and open problems
Appendix: some essentials on Fourier transforms
Commentary on the bibliography
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Radial Basis Functions

Theory and Implementations

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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