Topics in Multivariate Approximation and Interpolation

Topics in Multivariate Approximation and Interpolation

1st Edition - November 15, 2005

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  • Editors: Kurt Jetter, Martin Buhmann, Werner Haussmann, Robert Schaback, Joachim Stoeckler
  • Hardcover ISBN: 9780444518446
  • eBook ISBN: 9780080462042

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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.

Key Features

  • 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

Table 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

  • No. of pages: 356
  • Language: English
  • Copyright: © Elsevier Science 2005
  • Published: November 15, 2005
  • Imprint: Elsevier Science
  • Hardcover ISBN: 9780444518446
  • eBook ISBN: 9780080462042

About the Editors

Kurt Jetter

Affiliations and Expertise

Universitat Hohenheim, Institut fur Angewandte Mathematik und Statistik, Stuttgart, Germany

Martin Buhmann

Affiliations and Expertise

Universitaet Giessen, Math. Institut, Germany

Werner Haussmann

Affiliations and Expertise

Universitaet Duisburg-Essen, Institut f. Mathematik, Germany

Robert Schaback

Affiliations and Expertise

Universitaet Goettingen, Inst. F. Numerische und Angewandte Mathematik, Germany

Joachim Stoeckler

Affiliations and Expertise

Universitaet Dortmund, Fachbereich Mathematik, Germany

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