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Optimization Design of Biorthogonal Wavelet Filter Banks for Extending JPEG 2000 Standard Part-2

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Abstract

A generic optimization design approach of biorthogonal wavelet filter banks (BWFB) for extending the JPEG 2000 standard part-2 is presented in this paper. This approach adopts Vaidyanathan optimal coding gain criterion to design the BWFB, and adopts peak signal-to-noise ratio (PSNR) as the criterion to optimize this BWFB. A functional relation between the general BWFB and their lifting scheme is derived in the first place with respect to one free variable, so that the optimization design of the BWFB is easier and more convenient. In addition, a general image model is formulated as a first-order Markov process driven by Gaussian white noise. It is taken as an input of two-channel filter banks which satisfy perfect reconstruction (PR) condition to realize subband coding for obtaining the optimal BWFB according to the Vaidyanathan optimal coding gain criterion. Finally, a new 9/7 BWFB with rational coefficients is proposed for extending the JPEG 2000 standard part-2, with PSNR of reconstructed images only 0.20 dB lower than standard CDF 9/7 BWFB for infrared thermal image compressions.

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Acknowledgment

This work was supported by the Chinese national natural science foundation under grants 90920301 and 51075317, and 973 project of national key basic research of China (No. 2007CB311005).

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Authors and Affiliations

  1. Institute of Artificial Intelligence and Robotics, Xi’an Jiaotong University, Xi’an, 710049, China

    Guoan Yang

  2. The Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Eindhoven, The Netherlands

    Huub Van de Wetering

  3. Computing Mathematics, Xi’an Jiaotong University, Xi’an, 710049, China

    Songjun Zhang

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  1. Guoan Yang
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  2. Huub Van de Wetering
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  3. Songjun Zhang
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Correspondence to Guoan Yang.

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Yang, G., Van de Wetering, H. & Zhang, S. Optimization Design of Biorthogonal Wavelet Filter Banks for Extending JPEG 2000 Standard Part-2. J Sign Process Syst 68, 247–259 (2012). https://doi.org/10.1007/s11265-011-0609-7

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  • DOI: https://doi.org/10.1007/s11265-011-0609-7

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