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   -> Volume 2, Issue 2


Overview paper on wavelets available
 
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Bjorn Jawerth and Wim Sweldens, University of South Carolina.
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PostPosted: Fri Nov 29, 2002 1:11 pm    
Subject: Overview paper on wavelets available
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Overview paper on wavelets available


An Overview of Wavelet Based Multiresolution Analyses

Bjorn Jawerth and Wim Sweldens


Abstract:
In this paper we give an overview of some wavelet based multiresolution
analyses. First, we briefly discuss the continuous wavelet transform in
its simplest form. Then we give the definition of multiresolution analysis
and show how wavelets fit into it. We take a closer look at orthogonal,
biorthogonal and semiorthogonal wavelets.
The fast wavelet transform, wavelets on closed sets (boundary wavelets),
multidimensional wavelets and wavelet packets are discussed. Several
examples of wavelet families are given and compared. Finally, the essentials
of two major applications are outlined: data compression and compression
of linear operators.

Research Report 1993:1, Industrial Mathematics Initiative, Department of
Mathematics, University of South Carolina.

Submitted to Siam Review.

You can retrieve a postscriptfile of this paper by using anonymous ftp to
maxwell.math.sc.edu, directory /pub/wavelet/papers, file overview.ps.

If you have any comments or suggestions concerning this paper, don't
hesitate to contact us.

Bjorn Jawerth (bj@loki.math.sc.edu)
Wim Sweldens (sweldens@math.sc.edu)
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