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Radial basis functions

Radial basis functions
Catalogue Information
Field name Details
Dewey Class 511.42 (DDC 21.)
Title Radial basis functions (M) / Martin D. Buhmann
Author Buhmann, Martin D.
Publication Cambridge : Cambridge University Press , 2008
Physical Details x, 259 pages ; 23 cm
Series Cambridge monographs on applied and computational mathematics ; 12
ISBN 9780521101332
Summary Note 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.:
Contents note Preface; 1. Introduction; 2. Summary of methods and applications; 3. General methods for approximation and interpolation; 4. Radial basis function approximation on infinite grids; 5. Radial basis functions on scattered data; 6. Radial basis functions with compact support; 7. Implementations; 8. Least squares methods; 9. Wavelet methods with radial basis functions; 10. Further results and open problems; Appendix; Bibliography; Index.
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Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044296 519.65 BUH
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