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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Monographs on Applied and Computational Mathematics |
Release date: |
February 2009 |
First published: |
February 2009 |
Authors: |
Martin D. Buhmann
|
Dimensions: |
229 x 152 x 15mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
272 |
ISBN-13: |
978-0-521-10133-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
0-521-10133-6 |
Barcode: |
9780521101332 |
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