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Topics in multivariate approximation and interpolation. (English) Zbl 1205.41002

Studies in Computational Mathematics 12. Amsterdam: Elsevier (ISBN 978-0-444-51844-6). x, 356 p. (2006).

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Publisher’s description: 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.
The articles of this volume will be announced individually.
Indexed articles:
Berdysheva, Elena; Jetter, Kurt; Stockier, Joachim, Durrmeyer operators and their natural quasi-interpolants, 1-21 [Zbl 1205.41022]
Dyn, Nira, Three families of nonlinear subdivision schemes, 23-38 [Zbl 1205.65035]
Floater, Michael S.; Surazhsky, Tatiana, Parameterization for curve interpolation, 39-54 [Zbl 1205.65036]
Goodman, Tim; Hardin, Doug, Refinable multivariate spline functions, 55-83 [Zbl 1205.41008]
Kunoth, Angela, Adaptive wavelets for sparse representations of scattered data, 85-108 [Zbl 1205.65060]
Mazure, Marie-Laurence, Ready-to-blossom bases in Chebyshev spaces, 109-148 [Zbl 1205.65095]
Reif, Ulrich; Peters, Jorg, Structural analysis of subdivision surfaces - a summary, 149-190 [Zbl 1205.65102]
Sauer, Tomas, Polynomial interpolation in several variables: lattices, differences, and ideals, 191-230 [Zbl 1205.41004]
Wendland, Holger, Computational aspects of radial basis function approximation, 231-256 [Zbl 1205.65044]
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan, Learning theory: from regression to classification, 257-290 [Zbl 1205.62084]
Zimmermann, Georg, Coherent states from nonunitary representations, 291-339 [Zbl 1205.42034]

MSC:

41-06 Proceedings, conferences, collections, etc. pertaining to approximations and expansions
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
00Bxx Conference proceedings and collections of articles
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