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This volume contains a selection of eighteen peer-reviewed
articles that were presented at the 5th International Conference on
Multivariate Approximation, held in Witten-Bommerholz in September
2002. The contributions cover recent developments of constructive
approximation on manifolds, approximation by splines and kernels,
subdivision techniques and wavelet methods.
The main topics are:
- applications of multivariate approximation in finance
- approximation and stable reconstruction of images, data
reduction
- multivariate splines for Lagrange interpolation and
quasi-interpolation
- radial basis functions
- spherical point sets
- refinable function vectors and non-stationary subdivision
- applications of adaptive wavelet methods
- blending functions and cubature formulae
- singularities of harmonic functions
The book provides an overview of state-of-the-art developments in a
highly relevant field of applied mathematics, with many links to
computer science and geophysics.
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.
- 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.
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