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Topics in multivariate approximation and interpolation /
This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mat...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Elsevier,
2006.
|
| Edición: | 1st ed. |
| Colección: | Studies in computational mathematics ;
12. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 245 | 0 | 0 | |a Topics in multivariate approximation and interpolation / |c edited by Kurt Jetter [and others]. |
| 250 | |a 1st ed. | ||
| 260 | |a Amsterdam ; |a Boston : |b Elsevier, |c 2006. | ||
| 300 | |a 1 online resource (ix, 346 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Studies in computational mathematics, |x 1570-579X ; |v 12 | |
| 520 | |a This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. - A collection of articles of highest scientific standard. - An excellent introduction and overview of recent topics from multivariate approximation. - A valuable source of references for specialists in the field. - A representation of the state-of-the-art in selected areas of multivariate approximation. - A rigorous mathematical introduction to special topics of interdisciplinary research. | ||
| 505 | 0 | |a Preface. -- 1. Durrmeyer Operators and Their Natural Quasi-Interpolants (E. Berdysheva, K. Jetter and J. S�tckler). -- 2. Three Families of Nonlinear Subdivision Schemes (N. Dyn). -- 3. Parameterization for Curve Interpolation (M.S. Floater and T. Surazhsky). -- 4. Refinable Multivariate Spline Functions (T. Goodman and D. Hardin). -- 5. Adaptive Wavelets for Sparse Representations of Scattered Data (A. Kunoth). -- 6. Ready-to-Blossom Bases in Chebyshev Spaces (M-L. Mazure). -- 7. Structural Analysis of Subdivision Surfaces -- A Summary (U. Reif and J. Peters). -- 8. Polynomial Interpolation in Several Variables: Lattices, Differences and Ideals (T. Sauer). -- 9. Computational Aspects of Radial Basis Function Approximation (H. Wendland). -- 10. Learning Theory: From Regression to Classification (Q. Wu, Y. Ying and D-X. Zhou). -- 11. Coherent States from Nonunitary Representations (G. Zimmermann). -- Index. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Durrmeyer operators and their natural quasi-interpolants -- Three families of nonlinear subdivision schemes -- Parameterization for curve interpolation -- Refinable multivariate spline functions -- Adaptive wavelets for sparse representations of scattered data -- Ready-to-blossom bases in Chebyshev spaces -- Structural analysis of subdivision surfaces-a summary -- Polynomial interpolation in several variables : lattices, differences, and ideals -- Computational aspects of radial basis function approximation -- Learning theory : from regression to classification -- Coherent states from nonunitary representations. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Multivariate analysis |x Research. | |
| 650 | 0 | |a Approximation theory |x Research. | |
| 650 | 0 | |a Interpolation |x Research. | |
| 650 | 6 | |a Analyse multivari�ee |0 (CaQQLa)201-0002611 |x Recherche. |0 (CaQQLa)201-0379425 | |
| 650 | 6 | |a Th�eorie de l'approximation |0 (CaQQLa)201-0021344 |x Recherche. |0 (CaQQLa)201-0379425 | |
| 650 | 6 | |a Interpolation |0 (CaQQLa)201-0063507 |x Recherche. |0 (CaQQLa)201-0379425 | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x Multivariate Analysis. |2 bisacsh | |
| 700 | 1 | |a Jetter, K. | |
| 776 | 0 | 8 | |i Print version: |t Topics in multivariate approximation and interpolation. |b 1st ed. |d Amsterdam ; Boston : Elsevier, 2006 |z 9780444518446 |z 0444518444 |w (DLC) 2005052187 |w (OCoLC)61362210 |
| 830 | 0 | |a Studies in computational mathematics ; |v 12. |x 1570-579X | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444518446 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=1570579X&volume=12 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/1570579X/12 |z Texto completo |