Image compression via joint statistical characterization in the wavelet domain

IEEE Transactions on Image Processing

Volumn 8, Issue 12, 1999, Pages 1688-1701

  Buccigrossi, Robert W ^a,b   Simoncelli, Eero P ^a,c  

^a IEEE

^b Turner Consulting Group   (United States)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE CODING; MARKOV PROCESSES; MATHEMATICAL MODELS; STATISTICAL METHODS; WAVELET TRANSFORMS;

EMBEDDED PREDICTIVE WAVELET IMAGE CODER (EPWIC);

IMAGE COMPRESSION;

EID: 0033338289     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.806616     Document Type: Article

References (38)

1. E. H. Adelson, E. P. Simoncelli, and R. Hingorani, "Orthogonal pyramid transforms for image coding," Proc. SPIE, vol. 845, pp. 50-58, Oct. 1987.
2. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, "Image coding using wavelet transform," IEEE Trans. Image Processing, vol. 1, pp. 105-220, Apr. 1992.
3. R. W. Buccigrossi and E. P. Simoncelli, "Progressive wavelet image coding based on a conditional probability model," in Proc. IEEE ICASSP, Munich, Germany, Apr. 1997, vol. 4, pp. 2957-2960.
4. C. Chrysafis and A. Ortega, "Efficient context-based lossy wavelet image coding," in Proc. Data Compression Conf., Snowbird, UT, Mar. 1997.
5. R. R. Coifman and M. V. Wickerhauser, "Entropy-based algorithms for best basis selection," IEEE Trans. Inform. Theory, vol. 38, pp. 713-718, Mar. 1992.
6. D. L. Donoho, "Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data," in Proc. Symp. Appl. Math, I. Daubechies, Ed., Providence, RI, 1993, vol. 47, pp. 173-205.
7. D. J. Field, "What is the goal of sensory coding?," Neural Comput., vol. 6, pp. 559-601, 1994.
8. H. Gharavi and A. Tabatabai, "Sub-band coding of digital images using two-dimensional quadrature mirror filtering," Proc. SPIE, vol. 707, pp. 51-61, 1986.
9. D. Heeger and J. Bergen, "Pyramid-based texture analysis/synthesis," in Proc. ACM SIGGRAPH, Aug. 1995.
10. R. L. Joshi and T. R. Fischer, "Image subband coding using arithmetic and trellis coded quantization," IEEE Trans. Circuits Syst. Video Technol., vol. 5, pp. 515-523, 1995.
11. R. L. Joshi et al., "Comparison of different methods of classification in subband coding of images," IEEE Trans. Image Processing, vol. 6, pp. 1473-1486, 1997.
12. F. Kossentini, W. Chung, and M. Smith, "A jointly optimized subband coder," IEEE Trans. Image Processing, vol. 5, pp. 1311-1323, Sept. 1996.
13. S. M. LoPresto, K. Ramchandran, and M. T. Orchard, "Image coding based on mixture modeling of wavelet coefficients and a fast estimation-quantization framework," in Proc. Data Compression Conf., Mar. 1997.
14. S. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Processing, vol. 41, pp. 3397-3415, Dec. 1993.
15. S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 674-693, July 1989.
16. B. A. Olshausen and D. J. Field, "Natural image statistics and efficient coding," Network: Comput. Neural Syst., vol. 7, pp. 333-339, 1996.
17. A. Pentland and B. Horowitz, "A practical approach to fractal-based image compression," in Digital Images and Human Vision, A. B. Watson, Ed. Cambridge, MA: MIT Press, 1993.
18. A. P. Pentland, E. P. Simoncelli, and T. Stephenson, "Fractal-based image compression and interpolation," U.S. Patent 5 148497, Sept. 15, 1992.
19. ∼eero/publications.html.
20. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge, U.K: Cambridge Univ. Press, 1992.
21. R. Rinaldo and G. Calvagno, "Image coding by block prediction of multiresolution subimages," IEEE Trans. Image Processing, vol. 4, pp. 909-920, July 1995.
22. D. L. Ruderman and W. Bialek, "Statistics of natural images: Scaling in the woods," Phys. Rev. Lett., vol. 73, pp. 814-817, 1994.
23. A. Said and W. A. Pearlman, "An image multiresolution representation for lossless and lossy compression," IEEE Trans. Image Processing, vol. 5, pp. 1303-1310, Sept. 1996.
24. E. Schwartz, A. Zandi, and M. Boliek, "Implementation of compression with reversible embedded wavelets," Proc. SPIE, 1995.
25. J. Shapiro, "Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Processing, vol. 41, pp. 3445-3462, Dec. 1993.
26. E. Simoncelli and J. Portilla, "Texture characterization via joint statistics of wavelet coefficient magnitudes," in Proc. 5th IEEE Int. Conf. Image Processing, Chicago, IL, Oct. 1998, vol. I, pp. 4-7.
27. E. P. Simoncelli, "Orthogonal sub-band image transforms," Master's thesis, Dept. Elect. Eng. Comput. Sci., Mass. Inst. Technol., Cambridge, May 1988.
28. _, "Statistical models for images: Compression, restoration and synthesis," in Proc. 31st Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, Nov. 1997, pp. 673-678.
29. _, "Bayesian denoising of visual images in the wavelet domain," in Bayesian Inference in Wavelet Based Models, Lecture Notes in Statistics, Vol. 141 P. Müller and B. Vidakovic, Eds. Berlin, Germany: Springer-Verlag, 1999, pp. 292-308.
30. E. P. Simoncelli and E. H. Adelson, "Noise removal via Bayesian wavelet coring," in Proc. 3rd Int. Conf. Image Processing, Lausanne, Switzerland, Sept. 1996, pp. 379-383.
31. E. P. Simoncelli and R. W. Buccigrossi, "Embedded wavelet image compression based on a joint probability model," in Proc. 4th Int. Conf. Image Processing, Santa Barbara, CA, Oct. 1997, vol. I, pp. 640-643.
32. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, "Shiftable multi-scale transforms," IEEE Trans. Inform. Theory, Spec. Issue Wavelets, vol. 38, pp. 587-607, Mar. 1992.
33. M. Vetterli, "Multi-dimensional sub-band coding: Some theory and algorithms," Signal Process., vol. 6, pp. 97-112, Feb. 1984.
34. H. Wang and C. J. Kuo, "A multi-threshold wavelet coder (MTWC) for high fidelity image compression," in Proc. IEEE ICIP, 1997, pp. 652-655.
35. J. W. Woods and S. D. O'Neil, "Subband coding of images," IEEE Trans. Acoust. Speech Signal Processing, vol. ASSP-34, pp. 1278-1288, Oct. 1986.
36. G. Wornell, "Wavelet-based representations forthe 1/f family of fractal processes," Proc. IEEE, vol. 810, pp. 1428-1450, Oct. 1993.
37. X. Wu and J. Chen, "Context modeling and entropy coding of wavelet coefficients for image compression," in Proc. ICASSP, Munich, Germany, Apr. 1997.
38. S. Zhu, Y. Wu, and D. Mumford, "Filters, random fields and maximum entropy (FRAME) toward the unified theory for texture modeling," in Proc. IEEE Conf. Computer Vision and Pattern Recognition, June 1996.