Analysis of low bit rate image transform coding

IEEE Transactions on Signal Processing

Volumn 46, Issue 4, 1998, Pages 1027-1042

  Mallat, Stéphane ^a,e   Falzon, Frédéric ^a,b,c,d  

^a IEEE   (France)

^b ECOLE POLYTECHNIQUE   (France)

^c NEW YORK UNIVERSITY   (United States)

^d INRIA   (France)

^e NOKIA RESEARCH CENTER   (United States)

Author keywords

Distortion rate; Image compression; JPEG; Wavelet basis

Indexed keywords

EID: 0001663302     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.668554     Document Type: Article

References (17)

1. A. Cohen, I. Daubechies, O. Guleryuz, and M. Orchard, "On the importance of combining wavelet-based nonlinear approximation with coding strategies," 1997, preprint.
2. G. M. Davis, "A wavelet-based analysis of fractal image compression," IEEE Trans. Image Processing, vol. 6, 1997.
3. R. A. DeVore, B. Jawerth, and B. J. Lucier, "Image compression through wavelet transform coding," IEEE Trans. Inform. Theory, vol. 38, pp. 719-746, Mar. 1992.
4. N. Farvardin and J. Modestino, "Optimum quantizer performances for a class of non-Gaussian memoryless sources," IEEE Trans. Inform. Theory, vol. IT-30, pp. 485-97, May 1984.
5. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression. Boston, MA: Kluwer, 1992, ch. 2.
6. H. Gish and J. N. Pierce, "Asymptotically efficient quantizing," IEEE Trans. Inform. Theory, vol. IT-14, pp. 676-683, Sept. 1968.
7. N. J. Jayant and P. Noll, Digital Coding of Waveforms. Englewood Cliffs, NJ: Prentice-Hall, 1984.
8. E. LePennec, "Modélisation d'images par ondelettes, Dec. 1997," Mémoire de DEA, CMAP, Ecole Polytechnique, Paris, France.
9. A. S. Lewis and G. Knowles, "Image compression using the 2-D wavelet transform," IEEE Trans. Image Processing, vol. 1, pp. 244-250, Apr. 1992.
10. S. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine IntelL, vol. 11, pp. 674-693, July 1989.
11. _, A Wavelet Tour of Signal Processing. Boston, MA: Academic, 1998.
12. A. Said and W. A. Pearlman, "A new, fast, and efficient image codec based on set partitioning in hierarchical trees," IEEE Trans. Circuits Syst. Video Technol, vol. 6, pp. 243-250, June 1996.
13. J. M. Shapiro, "Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Processing, vol. 41, pp. 3445-3462, Dec. 1993.
14. G. Sullivan, "Efficient scalar quantization of exponential and laplacian random variables," IEEE Trans. Inform. Theory, vol. 42, pp. 1365-1374, Sept. 1996.
15. G. K. Wallace, "The JPEG still picture compression standard," Commun. ACM, vol. 34, no. 4, pp. 30-4, Apr. 1991.
16. I. Witten. R. Neal, and J. Cleary, "Arithmetic coding for data compression," Commun. ACM, vol. 30, no. 6, pp. 519-540, 1987.
17. Z. X. Xiong, O. Guleryuz, and M. T. Orchard, "Embedded image coding based on DCT," in P roc. VCIP Euro. Image Processing Conf., 1997.