Wavelets : an elementary treatment of theory and applications
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Bibliographic Information
Wavelets : an elementary treatment of theory and applications
（Series in approximations and decompositions, vol. 1）
World Scientific, c1993
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C||Wavelets-193025804
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Note
Includes index
Description and Table of Contents
Description
Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers. The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case. The first part presents a concise introduction of the underlying theory to the uninitiated reader. The second part gives applications in various areas. Some of the contributions here are a fresh exposition of earlier work by others, while other papers contain new results by the authors. The areas are so diverse as seismic processing, quadrature formulae, and wavelet bases adapted to inhomogeneous cases.
Table of Contents
- Wavelets - first steps, N.M. Temme
- wavelets - mathematical preliminaries, P.W. Hemker, et al
- the continuous wavelet transform and its group theoretic interpretation, T.H. Koomwinder
- discrete wavelets and multiresolution analysis, H. Heijmans
- image compression using wavelets, P. Nacken
- computing with wavelets, A.B. Olde Daalhuis
- construction of wavelet bases adapted to inhomogeneous cases, P.W. Hemker and F. Plantevin
- conjugate quadrature filters for multiresolution analysis and synthesis, E.H. Dooijes
- calculation of the wavelet decomposition using quadrature formulae, W. Sweldens and R. Piessens
- fast wavelet transforms and calderon-zygmud operators, T.H. Koomwinder
- the finite wavelet transform with an application in seismic processing, J.A.H. Alkemade
- wavelets understand fractals, M. Hazewinkel.
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