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Multivariate approximation and applications

✍ Scribed by N Dyn; et al

Publisher
Cambridge University Press
Year
2001
Tongue
English
Leaves
297
Category
Library
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✦ Synopsis

Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography

✦ Table of Contents


Content: Characterization and construction of radial basis functions / R. Schaback and H. Wendland --
Approximation and interpolation with radial functions / M.D. Buhmann --
Representing and analyzing scattered data on spheres / H.N. Mhaskar, F.J. Narcowich and J.D. Ward --
A survey on L₂-approximation orders from shift-invariant spaces / K. Jetter and G. Plonka --
Introduction to shift-invariant spaces. Linear independence / A. Ron --
Theory and algorithms for nonuniform spline wavelets / T. Lyche, K. Mørken and E. Quak --
Applied and computational aspects of nonlinear wavelet approximation / A. Cohen --
Subdivision, multiresolution and the construction of scalable algorithms in computer graphics / P. Schröder --
Mathematical methods in reverse engineering / J. Hoschek.

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