Radial Basis Functions : Theory and Implementations

M. D. Buhmann

ISBN 10: 0521633389 / ISBN 13: 9780521633383

Published by Cambridge University Press, 2003

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780521633383

Bibliographic Details

• Title: Radial Basis Functions : Theory and Implementations
• Publisher: Cambridge University Press
• Publication Date: 2003
• Language: English
• ISBN 10: 0521633389
• ISBN 13: 9780521633383
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 21D millimeters 235 millimeters width by 157 millimeters height by 21 millimeters depth
• Weight: 596 grams

About this title

Synopsis

It is necessary to estimate parameters by approximation and interpolation in many areas-from computer graphics to inverse methods to signal processing. Radial basis functions are modern, powerful tools which are being used more widely as the limitations of other methods become apparent. Martin Buhmann provides a complete analysis of radial basic functions from the theoretical and practical implementation viewpoints. He also includes a comprehensive bibliography.

Book Description

In many areas, from computer graphics to inverse methods to signal processing it is necessary to estimate parameters by approximation and interpolation. Radial basis functions are a modern and powerful tool which work well in very general circumstances, and are being widely used as the limitations of other methods become apparent.This is the first book devoted to the subject and the author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. A comprehensive bibliography rounds off what will prove a very valuable work.