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   -> Volume 5, Issue 2


Book: Wavelets and multiscale signal processing
 
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cohen@ann.jussieu.fr (Cohen)
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PostPosted: Wed Dec 04, 2002 9:49 am    
Subject: Book: Wavelets and multiscale signal processing
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Book: Wavelets and multiscale signal processing

A new book:

"WAVELETS AND MULTISCALE SIGNAL PROCESSING", Chapman and Hall ed.
by A.Cohen and R.D.Ryan

This book is based on Albert Cohen's doctoral thesis, which was
written at the University of Paris-Dauphine under the guidance of
Professor Yves Meyer. It was published in 1992 by Masson, Paris. Since
this first publication, research on wavelets and multiscale methods
has progressed significantly, and interest in these fields has
extended to a large scientific community. In spite of this progress,
it was clear to us that the relations between filter banks and wavelet
bases constitute a consistent and indispensable core for the theory
and applications of wavelets and that it was useful to present these
relations in detail. Our main concern in this edition has been to keep
this focus on the core material, while at the same time providing
`pointers' to the latest results and related developments.

The major results presented here are from Cohen's thesis and from
subsequent work done by Cohen and his collaborators. This English
edition was translated by Robert D. Ryan. Extensive revisions were
made jointly by Cohen and Ryan. These include revisions in Chapter 3
(dealing with the evaluation of the regularity of refinable functions
and subdivision algorithms), in Chapter 4 (characterization of stable
biorthogonal wavelet bases), and a fully rewritten Chapter 5
(discussing linear and nonlinear approximation of signals). Most of
the figures and plates have been redone to reflect changes in the
text. In addition, an effort has been made to elaborate a number of
the proofs to make the arguments more readily available to students
and to others who are not experts in the field.
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