Hybrid inter- and intra-wavelet scale image restoration

Pattern Recognition

Volumn 36, Issue 8, 2003, Pages 1737-1746

  Zhang, Lei ^a   Bao, Paul ^b   Wu, Xiaolin ^c  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Image restoration; Inter and intra scale dependency; LMMSE; Overcomplete wavelet expansion

Indexed keywords

MATRIX ALGEBRA; VECTORS; WAVELET TRANSFORMS;

SMOOTH NOISE;

IMAGE RECONSTRUCTION;

IMAGE ANALYSIS; WAVELET ANALYSIS;

EID: 0037653709     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(02)00350-3     Document Type: Article

References (26)

1. Mallat, S. G. (1989). A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell., 11(7), 674-693.
2. Mallat, S., & Zhong, S. (1992). Characterization of signals from multiscale edges. IEEE Trans. Pattern Anal. Mach. Intell., 14(7), 710-732.
3. Daubechies, I. (1992). Ten lectures on Wavelets. Philadelphia, PA: SIAM.
4. Vetterli, M., & Herley, C. (1992). Wavelet and filter banks: theory and design. IEEE Trans. Signal Process., 40(9), 2207-2232.
5. Chang, S. G., Yu, B., & Vetterli, M. (2000). Adaptive wavelet thresholding for image denoising and compression. IEEE Trans. Image Process., 9(9), 1532-1546.
6. Chang, S. G., Yu, B., & Vetterli, M. (2000). Spatially adaptive wavelet thresholding with context modeling for image denoising. IEEE Trans. Image Process., 9(9), 1522-1531.
7. Donoho, D. L. (1995). De-noising by soft thresholding. IEEE Trans. Inf. Theory, 41(5), 613-627.
8. Donoho, D. L., & Johnstone, I. M. (1995). Adapting to unknown smoothness via wavelet shrinkage. J. Am. Stat. Assoc., 90(12), 1200-1224.
9. Pan, Q., & Zhang, L. (1999). Two denoising methods by wavelet transform. IEEE Trans. Signal Process., 47(12), 3401-3406.
10. Abramovich, F., & Sapatinas, T. (1998). Wavelet thresholding via a Bayesian approach. J. R. Stat. Soc. Ser. B, 60 725-749.
11. Chambotle, A., & Devore, R. A. (1998). Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. IEEE Trans. Image Process., 7(7), 319-335.
12. Antonini, M., Barlaud, M., Mathieu, P., & Daubechies, I. (1992). Image coding using wavelet transform. IEEE Trans. Image Process., 1(4), 205-220.
13. Liu, J., & Moulin, P. (2001). Information-theoretic analysis of interscale and intrascale dependencies between image wavelet coefficients. IEEE Trans. Image Process., 10(11), 1647-1658.
14. Mh, M. K., Kozintsev, I., Ramchandran, K., & Moulin, P. (1999). Low-complexity image denoising based on statistical modeling of wavelet coefficients. IEEE Signal Process. Lett., 6(12), 300-303.
15. Servetto, S. D., Ramchandran, K., & Orchard, M. T. (1999). Image coding based on a morphological representation of wavelet data. IEEE Trans. Image Process., 8(9), 1161-1174.
16. Shapiro, J. M. (1993). Embedded image coding using zerostrees of wavelet coefficients. IEEE Trans. Signal Process., 41(12), 3445-3462.
17. Xu, Y. (1994). Wavelet transform domain filters: a spatially selective noise filtration technique. IEEE Trans. Image Process., 3(11), 747-758.
18. Crouse, M., Nowak, R., & Baraniuk, R. (1998). Wavelet-based statistical signal processing using hidden Markov models. IEEE Trans. Signal Process., 42(4), 886-902.
19. Fan, G., & Xia, X. G. (2001). Improved hidden Markov models in the wavelet-domain. IEEE Trans. Signal Process., 49(1), 115-120.
20. Romberg, J. K., Choi, H., & Baraniuk, R. G. (2001). Bayesian tree-structured image modeling using wavelet-domain hidden Markov models. IEEE Trans. Image Process., 10(7), 1056-1068.
21. Banham, M. R., & Katsaggelos, A. K. (1996). Spatially adaptive wavelet-based multiscale image restoration. IEEE Trans. Image Process., 5(4), 619-634.
22. J. Portilla, V. Strela, M.J. Wainwright, E.P. Simoncelli, Adaptive wiener denoising using a Gaussian scale mixture model in the wavelet domain, Proceedings of the Eight International Conference on Image Processing, Thessaloniki, Greece, 2001, pp. II. 37-40.
23. J. Liu, P. Moulin, Image denoising based on scale-space mixture modeling for wavelet coefficients, Proceedings of the International Conference on Image Processing (ICIP'99) Kobe, Japan, 1999, pp. I. 386-390.
24. Coifman, R. R., & Donoho, D. L. (1995). Translation-invariant de-noising. In A. Antoniadis, & G. Oppenheim (Eds.), Wavelet and Statistics, Berlin, Germany: Springer.
25. Karmen, E. W., & Su, J. K. (1999). Introduction to Optimal Estimation. London: Springer.
26. Sadler, B. M., & Swami, A. (1999). Analysis of multiscale products for step detection and estimation. IEEE Trans. Inf. Theory, 45(4), 1043-1051.