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Topics in Multivariate Approximation and Interpolation
ID: 175690
Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler
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Multivariate Approximation and Interpolation. Multivariate Approximation and Interpolation. Multivariate Approximation and Interpolation. Multivariate Approximation and Interpolation. The material has a wide range in Applied Mathematics, Such as in Computer Aided Geometric Design, in Mathematical Modeling, in Signal and Image Processing and in Machine Learning, to mention a few. The book is a foreground of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics.
- A collection of articles of the 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.
Preface.
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 (MS 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 (ML. 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 DX. Zhou).
11. Coherent States from Nonunitary Representations (G. Zimmermann).
Index.
175690
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Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler