Topics in Multivariate Approximation and Interpolation

A collection of eleven articles, which deal with special topics in Multivariate Approximation and Interpolation. The material discussed here has 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.

List of contents

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)

Product details

• Authors: K Jetter, K. Buhmann Jetter, Kurt Jetter, Kurt (Universitat Hohenheim Jetter, Kurt Buhmann Jetter, JETTER KURT BUHMANN MARTIN D HA
• Assisted by: Martin Buhmann (Editor), Martin D. Buhmann (Editor), Werner Haussmann (Editor), Haussmann Werner (Editor), K. Jetter (Editor), Kurt Jetter (Editor), Robert Schaback (Editor), Schaback Robert (Editor), Joachim Stoeckler (Editor), Stoeckler Joachim (Editor)
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Hardback
• Released: 15.11.2005
• EAN: 9780444518446
• ISBN: 978-0-444-51844-6
• No. of pages: 356
• Series: Studies in Computational Mathematics; Studies in Computational Mathematics
• Subjects: Humanities, art, music > Art > Interior design, design; Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Graphic Design, DESIGN / Graphic Arts / General, MATHEMATICS / Probability & Statistics / General, Probability & statistics, Probability and statistics