Wavelet Transforms That Map Integers to Integers

Journal Article (Journal Article)

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 those given in the literature. © 1998 Academic Press.

Full Text

Duke Authors

Cited Authors

  • Calderbank, AR; Daubechies, I; Sweldens, W; Yeo, BL

Published Date

  • January 1, 1998

Published In

Volume / Issue

  • 5 / 3

Start / End Page

  • 332 - 369

International Standard Serial Number (ISSN)

  • 1063-5203

Digital Object Identifier (DOI)

  • 10.1006/acha.1997.0238

Citation Source

  • Scopus