Radial Basis Functions: Theory and Implementations - Brossura

Buhmann, Martin D.

Brossura

ISBN 10: 0521101336 ISBN 13: 9780521101332

Casa editrice: Cambridge University Press, 2009

Riassunto

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.

Su questo libro

Recensione:

"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

Descrizione del libro:

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

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521101336
• ISBN 13: 9780521101332
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 272