Open Access

Are the Wavelet Transforms the Best Filter Banks for Image Compression?

EURASIP Journal on Image and Video Processing20082008:287197

https://doi.org/10.1155/2008/287197

Received: 22 October 2007

Accepted: 6 January 2008

Published: 15 January 2008

Abstract

Maximum regular wavelet filter banks have received much attention in the literature, and it is a general conception that they enjoy some type of optimality for image coding purposes. To investigate this claim, this article focuses on one particular biorthogonal wavelet filter bank, namely, the 2-channel 9/7. As a comparison, we generate all possible 9/7 filter banks with perfect reconstruction and linear phase while having a different number of zeros at for both analysis and synthesis lowpass filters. The best performance is obtained when the filter bank has 2/2 zeros at for the analysis and synthesis lowpass filters, respectively. The competing wavelet 9/7 filter bank, which has 4/4 zeros at , is thus judged inferior both in terms of objective error measurements and informal visual inspections. It is further shown that the 9/7 wavelet filter bank can be obtained using gain-optimized 9/7 filter bank.

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Authors’ Affiliations

(1)
Interventional Center, Rikshospitalet University Hospital
(2)
Department of Electronics and Telecommunications, Norwegian University of Science and Technology (NTNU)

Copyright

© I. Balasingham and T. A. Ramstad. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.