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Topics in Multivariate Approximation and Interpolation

  • 1 Edición, Volumen 12 - 15 de noviembre de 2005
  • Última edición
  • Editores: Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler
  • Idioma: Inglés

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… Leer más

Descripción

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.

Puntos claves

  • 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

De interès para

Researchers, graduate students

Índice

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)

Detalles del producto

  • Edición: 1
  • Última edición
  • Volumen: 12
  • Publicado: 30 de junio de 2011
  • Idioma: Inglés

Sobre los editores

KJ

Kurt Jetter

Afiliaciones y experiencia
Universitat Hohenheim, Institut fur Angewandte Mathematik und Statistik, Stuttgart, Germany

MB

Martin Buhmann

Afiliaciones y experiencia
Universitaet Giessen, Math. Institut, Germany

WH

Werner Haussmann

Afiliaciones y experiencia
Universitaet Duisburg-Essen, Institut f. Mathematik, Germany

RS

Robert Schaback

Afiliaciones y experiencia
Universitaet Goettingen, Inst. F. Numerische und Angewandte Mathematik, Germany

JS

Joachim Stoeckler

Afiliaciones y experiencia
Universitaet Dortmund, Fachbereich Mathematik, Germany

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