Radial Basis Functions: Theory and Implementations (Cambridge Monographs on Applied and Computational Mathematics)

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9780521633383: Radial Basis Functions: Theory and Implementations (Cambridge Monographs on Applied and Computational Mathematics)
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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.

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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.

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"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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9780521101332: Radial Basis Functions: Theory and Implementations (Cambridge Monographs on Applied and Computational Mathematics)

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ISBN 10:  0521101336 ISBN 13:  9780521101332
Publisher: Cambridge University Press, 2009
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2006. Hardback. Condition: New. Language: English . Brand New Book. 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 # AAZ9780521633383

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2006. Hardback. Condition: New. Language: English . Brand New Book. 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 # AAZ9780521633383

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