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A New Wavelet Lifting Scheme for Image Compression Applications

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Part of the book series:Lecture Notes in Computer Science ((LNIP,volume 4153))

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Abstract

A new lifting scheme of 7/5 biorthogonal wavelet filter banks (BWFB) which include BT 7/5 filter banks of Brislawn and Treiber for image compression applications is presented in this paper. The functional relations between all coefficients of the 7/5 BWFB and their lifting parameters with respect to a one free lifting parameter are derived. Moreover, all coefficients of 7/5 BWFB and their lifting parameters are rational numbers, compared to CDF 9/7 filter banks of Cohen, Daubechies and Feauveau with irrational coefficients in JPEG2000 standard, 7/5 BWFB not only have advantage of easy computation but also are very suitable for VLSI hardware implementation. Finally, two 7/5 BWFB namely 7/5 BWFB-1 and 7/5 BWFB-2 are proposed. The experimental results show that the peak signal-to-noise ratio (PSNR) of the reconstructed images using 7/5 BWFB-1 and 7/5 BWFB-2 is 0.1dB less than CDF 9/7 filter banks but is higher 1.2dB than LT 5/3 filter banks of LeGall and Tabatabai within compression ratio 100:1. Therefore, the 7/5 BWFB-1 and 7/5 BWFB-2 are the ideal replacement of CDF 9/7 filter banks in the JPEG2000 standard for image compression applications.

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References

  1. ISO/ IEC 15444-1, ITU-T RT800,2003, JPEG 2000 image coding system, part 1

    Google Scholar 

  2. Cohen, A., Daubechies, I., Feauveau, J.C.: Biorthogonal bases of compactly supported wavelets. Commun. Pure Appl. Math. 45, 485–560 (1992)

    Article MATH MathSciNet  Google Scholar 

  3. Sweldens, W.: The lifting scheme: a custom-design construction of biorthogonal wavelets. Applied and computational Harmonic Analysis 3, 186–200 (1996)

    Article MATH MathSciNet  Google Scholar 

  4. Sweldens, W.: The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal. 29(2), 511–546 (1997)

    Article MathSciNet  Google Scholar 

  5. ISO/ IEC, 15444-2, ITU-TR T800, 2004, JPEG2000 image coding system, part 2

    Google Scholar 

  6. Yang, G., Zheng, N., et al.: Research on cluster of 7/5-tap wavelet filters and their image compression performances. Journal of Xi’an Jiaotong University 39(6), 628–632 (2005)

    Google Scholar 

  7. Yang, G., Zheng, N., et al.: Extensible JPEG, image compression systems. In: IEEE ICIT 2005 conference proceeding, HongKong, December 14-17, pp. 1376–1380 (2005)

    Google Scholar 

  8. Daubechies, I., Sweldens, W.: Factoring wavelet transforms into lifting steps. Fourier analysis and applications 4(3), 247–269 (1998)

    Article MATH MathSciNet  Google Scholar 

  9. Antonini, M., Barlaud, M., Mathieu, P., Daubechchies, I.: Image coding using wavelet transform. IEEE Trans. on Image processing 1(2), 205–220 (1992)

    Article  Google Scholar 

  10. Unser, M., Blu, T.: Mathematical properties of the JPEG2000 wavelet filters. IEEE Trans. on Image processing 12(9), 1080–1090 (2003)

    Article MathSciNet  Google Scholar 

  11. Bilgin, A., Sementilli, P.J., Sheng, F., et al.: Scalable image coding using reversible integer wavelet transforms. IEEE Trans. on Image Processing 9(11), 1972–1977 (2000)

    Article MATH MathSciNet  Google Scholar 

  12. Taubman, D.: High performance scalable image compression with EBCOT. IEEE Trans. on Image processing 9(7), 1158–1170 (2000)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Artificial Intelligence and Robotics of Xi’an Jiaotong University, No.28 West Xianning Road, 710049, Xi’an, China

    Guoan Yang & Shugang Guo

Authors
  1. Guoan Yang

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  2. Shugang Guo

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Editor information

Editors and Affiliations

  1. Xi’an Jiaotong University, 710049, Xi’an, China

    Nanning Zheng

  2. Department of Mathematics and Computer Science, University of Münster, Einsteinstrasse 62, D-48149, Münster, Germany

    Xiaoyi Jiang

  3. Institute of Artificial Intelligence and Robotics, Xi’an Jiaotong University, Xianning West Road 28, 710049, Xi’an, China

    Xuguang Lan

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© 2006 Springer-Verlag Berlin Heidelberg

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Yang, G., Guo, S. (2006). A New Wavelet Lifting Scheme for Image Compression Applications. In: Zheng, N., Jiang, X., Lan, X. (eds) Advances in Machine Vision, Image Processing, and Pattern Analysis. IWICPAS 2006. Lecture Notes in Computer Science, vol 4153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11821045_49

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