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Topics in Multivariate Approximation and Interpolation
1st Edition, Volume 12 - November 15, 2005
Editors: Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler
Language: English
Hardback ISBN:9780444518446
9 7 8 - 0 - 4 4 4 - 5 1 8 4 4 - 6
eBook ISBN:9780080462042
9 7 8 - 0 - 0 8 - 0 4 6 2 0 4 - 2
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…Read more
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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
Researchers, graduate students
1. Durrmeyer Operators and Their Natural Quasi-Interpolants (E. Berdysheva, K. Jetter and J. Stöckler)
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)
No. of pages: 356
Language: English
Edition: 1
Volume: 12
Published: November 15, 2005
Imprint: Elsevier Science
Hardback ISBN: 9780444518446
eBook ISBN: 9780080462042
KJ
Kurt Jetter
Affiliations and expertise
Universitat Hohenheim, Institut fur Angewandte Mathematik und Statistik, Stuttgart, Germany
MB
Martin Buhmann
Affiliations and expertise
Universitaet Giessen, Math. Institut, Germany
WH
Werner Haussmann
Affiliations and expertise
Universitaet Duisburg-Essen, Institut f. Mathematik, Germany
RS
Robert Schaback
Affiliations and expertise
Universitaet Goettingen, Inst. F. Numerische und Angewandte Mathematik, Germany