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> Volume 5, Issue 8
Preprint: Wavelet transforms that map integers to integers.

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Ingrid Daubechies (ingrid@math.princeton.edu) Guest

Posted: Thu Oct 03, 1996 3:30 pm Subject: Preprint: Wavelet transforms that map integers to integers.




#6 Preprint: Wavelet transforms that map integers to integers.
Title: Wavelet Transforms that Map Integers to Integers
Authors: R. C. Calderbank, Ingrid Daubechies, Wim Sweldens, and
BoonLock Yeo
Abstract: Invertible wavelet transforms that map integers to integers
have important applications in lossless coding. In this paper we
present two approaches to build integer to integer wavelet
transforms. The first approach is to adapt the precoder of Laroia et
al., which is used in information transmission; we combine it with
expansion factors for the high and low pass band in subband
filtering. The second approach builds upon the idea of factoring
wavelet transforms into socalled lifting steps. This allows the
construction of an integer version of every wavelet
transform. Finally, we use these approaches in a lossless image coder
and compare the results to the literature.
Status: Preprint, Department of Mathematics, Princeton University, 1996.
You can download a copy of this paper from the Web at:
http://cm.belllabs.com/who/wim/papers/integer.ps (PostScript)
http://cm.belllabs.com/who/wim/papers/integer.ps.gz (Compressed PostScript)
Ingrid C. Daubechies
ingrid@math.princeton.edu
http://www.princeton.edu/~icd/
Princeton University
Department of Mathematics and Program in Applied and Computational Mathematics 





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