The Wavelet Digest Homepage
Return to the homepage
Search the complete Wavelet Digest database
Help about the Wavelet Digest mailing list
About the Wavelet Digest
The Digest The Community
 Latest Issue  Back Issues  Events  Gallery
The Wavelet Digest
   -> Volume 5, Issue 8


Preprint: Wavelet transforms that map integers to integers.
 
images/spacer.gifimages/spacer.gif Reply into Digest
Previous :: Next  
Author Message
Ingrid Daubechies (ingrid@math.princeton.edu)
Guest





PostPosted: Thu Oct 03, 1996 3:30 pm    
Subject: Preprint: Wavelet transforms that map integers to integers.
Reply with quote

#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
Boon-Lock 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 so-called 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.bell-labs.com/who/wim/papers/integer.ps (PostScript)
http://cm.bell-labs.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
All times are GMT + 1 Hour
Page 1 of 1

 
Jump to: 
 


disclaimer - webmaster@wavelet.org
Powered by phpBB

This page was created in 0.025642 seconds : 18 queries executed : GZIP compression disabled