Topics in Multivariate Approximation and Interpolation

Erscheinungsjahr 2005
ISBN: 978-0-444-51844-6
Verlag: Elsevier Science & Technology

Buch, Englisch, 356 Seiten, Format (B × H): 165 mm x 240 mm, Gewicht: 780 g

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.

Autoren/Hrsg.

Jetter, Kurt

Buhmann, Martin

Haussmann, Werner

Schaback, Robert

Stoeckler, Joachim

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik EDV | Informatik Informatik Mensch-Maschine-Interaktion Informationsvisualisierung
• Geisteswissenschaften Design Grafikdesign, Kommunikationsdesign
• Geisteswissenschaften Design Produktdesign, Industriedesign

Inhaltsverzeichnis

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)