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Design of Optimal Quincunx Filter Banks for Image Coding

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 083858 (2006) Cite this article

Abstract

Two new optimization-based methods are proposed for the design of high-performance quincunx filter banks for the application of image coding. These new techniques are used to build linear-phase finite-length-impulse-response (FIR) perfect-reconstruction (PR) systems with high coding gain, good frequency selectivity, and certain prescribed vanishing-moment properties. A parametrization of quincunx filter banks based on the lifting framework is employed to structurally impose the PR and linear-phase conditions. Then, the coding gain is maximized subject to a set of constraints on vanishing moments and frequency selectivity. Examples of filter banks designed using the newly proposed methods are presented and shown to be highly effective for image coding. In particular, our new optimal designs are shown to outperform three previously proposed quincunx filter banks in 72% to 95% of our experimental test cases. Moreover, in some limited cases, our optimal designs are even able to outperform the well-known (separable) 9/7 filter bank (from the JPEG-2000 standard).

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, V8W 3P6, Canada

    Yi Chen, Michael D. Adams & Wu-Sheng Lu

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  1. Yi Chen
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  2. Michael D. Adams
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  3. Wu-Sheng Lu
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Correspondence to Yi Chen.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chen, Y., Adams, M.D. & Lu, WS. Design of Optimal Quincunx Filter Banks for Image Coding. EURASIP J. Adv. Signal Process. 2007, 083858 (2006). https://doi.org/10.1155/2007/83858

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