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Radial Basis Functions

Theory and Implementations

Martin D. Buhmann (Justus-Liebig-Universität Giessen, Germany)

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English
Cambridge University Press
12 February 2009
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.

By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   12
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 16mm
Weight:   400g
ISBN:   9780521101332
ISBN 10:   0521101336
Series:   Cambridge Monographs on Applied and Computational Mathematics
Pages:   272
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Reviews for Radial Basis Functions: Theory and Implementations

"""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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