Wavelet Transforms that Map Integers to Integers

  title={Wavelet Transforms that Map Integers to Integers},
  author={Robert Calderbank},
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… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 38 references

Bi-orthogonal bases of compactly supported wavelets

A. Cohen, I. Daubechies, J. Feauveau
Comm. Pure Appl. Math., 45:485–560 • 1992
View 4 Excerpts
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An image multiresolution representation for lossless and lossy compression

IEEE Trans. Image Processing • 1996
View 4 Excerpts
Highly Influenced

CREW lossless/lossy medical image compression

A. Zandi, M. Boliek, E. L. Schwartz, M. J. Gormish
Technical Report CRC-TR-9526, RICOH California Research Center • 1995
View 5 Excerpts
Highly Influenced

Lossless integer wavelet transform

IEEE Signal Processing Letters • 1997
View 1 Excerpt

A binary wavelet decomposition of binary images

IEEE Trans. Image Processing • 1996
View 2 Excerpts

Local decompositions of refinable spaces

J. M. Carnicer, W. Dahmen, J. M. Peña
Appl. Comput. Harmon. Anal., 3:127–153 • 1996
View 1 Excerpt

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