Radial Basis Functions
Theory and Implementations
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Radial Basis Functions by Martin D. Buhmann
Book DescriptionIn 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.
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Book DetailsISBN: 9780521633383
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-Jul-2003
Country of Publication: United Kingdom
Books By Author Martin D. Buhmann
Approximation Theory and Optimization, Paperback (August 2009)
Authorities in numerical analysis and optimisation combine to write an important volume in the area.
Radial Basis Functions, Paperback (February 2009)
A comprehensive bibliography rounds off what will prove a very valuable work.
Topics in Multivariate Approximation and Interpolation, Hardback (November 2005)» View all books by Martin D. Buhmann
A collection of eleven articles, which deal with special topics in Multivariate Approximation and Interpolation. The material discussed here has 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.
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