Radial Basis Functions: Theory and Implementations

ISBN-13: 9780521633383 / Angielski / Twarda / 2003 / 272 str.

M. D. Buhmann

Opis

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.

Recenzje

"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

Spis treści

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.