Résumé
In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multi-dimensional, by approximation and interpolation. Radial basis functions are a modern and 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.
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. 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
- Introduction
- Summary of methods and applications
- General methods for approximation and interpolation
- Radial basis functions on infinite grids
- Radial basis functions on scattered data
- Radial functions with compact support
- Implementations
- Least squares methods
- Wavelet methods with radial basis functions
- Open problems and further results
- Appendix: Some essentials on Fourier transforms
- References
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Cambridge University Press |
| Auteur(s) | Martin D. Buhmann |
| Parution | 13/06/2003 |
| Nb. de pages | 260 |
| Format | 15,5 x 23,5 |
| Couverture | Broché |
| Poids | 560g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780521633383 |
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