Topics in Multivariate Approximation and Interpolation
- 1st Edition, Volume 12 - December 21, 2005
- Editors: Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 4 5 8 1 - 7
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 5 1 8 4 4 - 6
- eBook ISBN: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
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)
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)
- Edition: 1
- Volume: 12
- Published: December 21, 2005
- Language: English
KJ
Kurt Jetter
Affiliations and expertise
Universitat Hohenheim, Institut fur Angewandte Mathematik und Statistik, Stuttgart, GermanyMB
Martin Buhmann
Affiliations and expertise
Universitaet Giessen, Math. Institut, GermanyWH
Werner Haussmann
Affiliations and expertise
Universitaet Duisburg-Essen, Institut f. Mathematik, GermanyRS
Robert Schaback
Affiliations and expertise
Universitaet Goettingen, Inst. F. Numerische und Angewandte Mathematik, GermanyJS
Joachim Stoeckler
Affiliations and expertise
Universitaet Dortmund, Fachbereich Mathematik, GermanyRead Topics in Multivariate Approximation and Interpolation on ScienceDirect