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   -> Volume 3, Issue 12


Preprint: Some Remarks About Compactly Supported Spline Wavelets
 
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eduser@mate.dm.uba.ar (Eduardo Pedro Serrano)
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PostPosted: Mon Dec 02, 2002 1:17 pm    
Subject: Preprint: Some Remarks About Compactly Supported Spline Wavelets
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Preprint: Some Remarks About Compactly Supported Spline Wavelets

Preprint : 'Some Remarks About Compactly Supported Spline Wavelets'
(Almost orthogonal wavelets with compact support)

Abstract: In this paper we propose an extended family of
almost orthogonal spline wavelets with compact support.
These functions provide snug bases for L2(R), preserving
semiorthonormal properties. As it is well known, while
orthogonality gives us non redundant representations,
finite support has attractive features for numerical
implementations. This work represents an effort to combine
both desirable conditions in the spline case and to enhance
previous results of Ch. Chui and Unser et al.
We star by reviewing the concept of semiorthogonal wavelets
and we discuss its performance. Next, we give a brief description
of the general technique for computing compactly supported
spline wavelets, and at last we expose the above mentioned
functions. Also we develop several formulas in accord with
our purposes.

Author: Eduardo Serrano
Ad: Dep Mat. FCEyN - Universidad de Buenos Aires - Argentina
E-mail:eduser@mate.dm.uba.ar
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