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Radial basis functions : theory and implementations /
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 circ...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2003.
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| Colección: | Cambridge monographs on applied and computational mathematics ;
12. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (x, 259 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 246-257) and index. |
| ISBN: | 0511040202 9780511040207 9780511543241 0511543247 9786610432295 6610432295 0511051247 9780511051241 1107128005 9781107128002 1280432292 9781280432293 0511179049 9780511179044 0511148941 9780511148941 0511326025 9780511326028 9780521101332 0521101336 |