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   -> Volume 7, Issue 1


Preprint: Wavelet families of increasing order in arbitrary dimensions
 
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"Jelena Kovacevic" (jelena)
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PostPosted: Mon Jan 05, 1998 9:24 pm    
Subject: Preprint: Wavelet families of increasing order in arbitrary dimensions
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#6 Preprint: Wavelet families of increasing order in arbitrary dimensions

Title: Wavelet families of increasing order in arbitrary dimensions

J. Kovacevic and W. Sweldens

Abstract:
We build compactly supported biorthogonal wavelets and perfect
reconstruction filter banks for any lattice in any dimension with
any number of primal and dual vanishing moments. The resulting
scaling functions are interpolating. Our construction relies on the
lifting scheme and inherits all advantages of lifting: fast
transforms, in-place calculation, and integer to integer
transforms. We show that twolifting steps suffice. The first one can
be built using polynomial interpolation and the second is a multiple
of the adjoint of the first.

The above preprint is available at:

http://cm.bell-labs.com/who/jelena/papers.html#KovacevicS:97b
http://cm.bell-labs.com/who/wim/papers/papers.html#mdlift
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