Optimization design of biorthogonal wavelets for embedded image coding

IEICE Transactions on Information and Systems

Volumn E90-D, Issue 2, 2007, Pages 569-578

  Liu, Zaide ^a   Zheng, Nanning ^a   Liu, Yuehu ^a   Van De Wetering, Huub ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Biorthogonal wavelets; Coding gain; Compression performance; Computational complexity; Diophantine equation; Discrete wavelet transform; Filter bank

Indexed keywords

EMBEDDED SYSTEMS; IMAGE RECONSTRUCTION; OPTICAL FILTERS; OPTIMIZATION; POLYNOMIAL APPROXIMATION; WAVELET TRANSFORMS;

BIORTHOGONAL WAVELETS; CODING GAIN; COMPRESSION PERFORMANCE; DIOPHANTINE EQUATION; DISCRETE WAVELET TRANSFORMS; FILTER BANKS;

IMAGE CODING;

EID: 33847151621     PISSN: 09168532     EISSN: 17451361     Source Type: Journal    
DOI: 10.1093/ietisy/e90-d.2.569     Document Type: Article

References (21)

1. ISO/IEC 15444-1 (2nd ed.), Information technology - JPEG 2000 image coding system: core coding system, 2004.
2. A. Cohen, I. Daubechies, and J.C. Feauveau, "Biorthogonal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol.45, pp.485-560, 1992.
3. M. Vetterli and C. Herley, "Wavelets and filter banks: Theory and design," IEEE Trans. Image Process., vol.40, no.9, pp.2207-2232, Sept. 1992.
4. J.D. Villasenor, B. Belzer, and J. Liao, "Wavelet filter evaluation for image compression," IEEE Trans. Image Process., vol.4, no.8, pp.1053-1060, Aug. 1995.
5. W. Sweldens, "The lifting scheme: A custom-design construction of biorthogonal wavelets," Appl. Comput. Harmon. Anal., vol.3, pp.186-200, 1996.
6. M.J. Tsai, J.D. Villasenor, and F. Chen, "Stack-run image coding," IEEE Trans. Circuits Syst. Video Technol., vol.6, no.5, pp.519-521, Oct. 1996.
7. T. Cooklev, A. Nishihara, and M. Sablatash, "Regular orthonormal and biorthogonal wavelet filters," Signal Process., vol.57, pp.121-137, 1997.
8. D. Wei, J. Tian, Jr., R.O. Wells, and C.S. Burrus, "A new class of biorthogonal wavelet systems for image transform coding," IEEE Trans. Image Process., vol.7, no.7, pp.1000-1013, July 1998.
9. W. Dahmen, A. Kunoth, and K. Urban, "Biorthogonal spline wavelets on the interval - Stability and moment conditions," Appl. Comput. Harmon. Anal., vol.6, pp.132-196, 1999.
10. D.B.H. Tay, "Rationalizing the coefficients of popular biorthogonal wavelet filters," IEEE Trans. Circuits Syst. Video Technol., vol.10, no.6, pp.998-1005, Sept. 2000.
11. T.-X. He, "Biorthogonal wavelets with certain regularities," Appl. Comput. Harmon. Anal., vol.11, pp.227-242, 2001.
12. L.L. Winger and A.N. Venetsanopoulos, "Biorthogonal nearly coiflet wavelets for image compression," Signal Process.: Image Commun., vol.16, pp.859-869, 2001.
13. P-L. Shui, Z. Bao, X. Zhang, and Y. Tang, "Two-channel adaptive biorthogonal filterbanks via lifting," Signal Process., vol.82, pp.881-893, 2002.
14. A.Z. Averbuch and V.A. Zheludev, "Construction of biorthogonal discrete wavelet transforms using interpolatory splines," Appl. Comput. Harmon. Anal., vol.12, pp.25-56, 2002.
15. Z. Liu, N. Zheng, Y. Song, and G. Yang, "Construction of high-performance 9/7 biorthogonal wavelet filter banks with rational coefficients," J. Xi'an Jiaotong University (Chinese edition), vol.39, no.8, pp.27-31, Xi'an, China, Aug. 2005.
16. I. Daubechies and W. Sweldens, "Factoring wavelet transforms into lifting steps," J. Fourier Anal. Appl., vol.4, no.3, pp.247-269, 1998.
17. E.-P. Wang and C.-Z. Wang, Polynomial and Polynomial Matrix (Chinese edition), Defense Industry Press, Beijing, China, 1992.
18. J. Katto and Y. Yasuda, "Performance evaluation of subband coding and optimization of its filter coefficients," Proc. SPIE Symposium on Visual Comm. and Image Proc., vol.1605, pp.95-106, 1991.
19. S.G. Mallat, "Multifrequency channel decompositions of images and wavelet models," IEEE Trans. Acoust. Speech Signal Process., vol.37, no.12, pp.2091-2110, Dec. 1989.
20. J.W. Woods and T. Naveen, "A filter based bit allocation scheme for subband compression of HDTV," IEEE Trans. Image Process., vol. 1, no.3, pp.436-440, July 1992.
21. A. Said and W.A. Pearlman, "A new, fast, efficient image codec based on set partitioning in hierarchical trees," IEEE Trans. Circuits Syst. Video Technol., vol.6, no.3, pp.243-250, June 1996.