Radial Basis Functions: Theory and Implementations
by Martin D. BuhmannFormat: Hardcover
Pub. Date: 2003-07-07
Publisher(s): Cambridge University Press
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Summary
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.
Table of Contents
| 1. Introduction | |
| 2. Summary of methods and applications | |
| 3. General methods for approximation and interpolation | |
| 4. Radial basis functions on infinite grids | |
| 5. Radial basis functions on scattered data | |
| 6. Radial functions with compact support | |
| 7. Implementations | |
| 8. Least squares methods | |
| 9. Wavelet methods with radial basis functions | |
| 10. Open problems and further results | |
| Appendix: Some essentials on Fourier transforms | |
| References | |
| Index. |
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