Bayesian multichannel image restoration using compound Gauss-Markov random fields

IEEE Transactions on Image Processing

Volumn 12, Issue 12, 2003, Pages 1642-1654

  Molina, Rafael ^a   Mateos, Javier ^a   Katsaggelos, Aggelos K ^b   Vega, Miguel ^a  

^a UNIVERSITY OF GRANADA   (Spain)

^b Northwestern University   (United States)

Author keywords

Compound Gauss Markov random fields; Iterative conditional mode; Multichannel image restoration; Simulated annealing

Indexed keywords

ALGORITHMS; COLOR IMAGE PROCESSING; IMAGE RETRIEVAL; ITERATIVE METHODS; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; SIMULATED ANNEALING; THEOREM PROVING;

COMPOUND GAUSS-MARKOV RANDOM FIELDS; INTERATIVE CONDITIONAL MODE; MULTICHANGE IMAGE RESTORATION; WEINER FILTERING;

IMAGE RECONSTRUCTION;

EID: 10344237188     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2003.818015     Document Type: Article

References (32)

1. N P. Galatsanos and R. T. Chin, "Digital restoration of multichannel images," IEEE Trans. Acoust., Speech, Signal Processing, vol 37, no. 3, pp. 415-421, 1989.
2. B. R. Hunt and O. Kubler, "Karhunen-Loeve multispectral image restoration. Part 1: Theory," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, no. 3, pp. 592-600, 1984
3. N. P. Galatsanos, A. K. Katsaggelos, R. T. Chin, and A. D. Hillery, "Least squares restoration of multichannel images," IEEE Trans. Signal Processing, vol. 39, pp. 2222-2236, Oct. 1991.
4. M. G. Kang and A. K. Katsaggelos, "Simultaneous multichannel image restoration and estimation of the regularization parameters," IEEE Trans Image Processing, vol. 6, no. 5, pp. 774-778, 1997.
5. Y. P. Guo, H. P. Lee, and C. L. Teo, "Multichannel image restoration using an iterative algorithm in space domain," image Vis. Comput., vol. 14, no. 6, pp. 389-400, 1996.
6. M. G. Kang, "Generalized multichannel image deconvolution approach and its applications," Opt. Eng., vol. 37, no. 11, pp. 2953-2964, 1998.
7. R. Molina and J. Mateos, '"Multichannel image restoration in Astronomy," Vistas Astron., vol. 41, no. 3, pp. 373-379, 1997.
8. R. R. Schultz and R. L. Stevenson, "Stochastic modeling and estimation of multispectral image data," IEEE Trans. Image Processing, vol. 4, no. 8, pp. 1109-1119, 1995.
9. R. Molina, A. K Katsaggelos, J. Mateos, A. Hermoso, and C. A. Segall, "Restoration of severely blurred high range images using stochastic and deterministic relaxation algorithms in compound Gauss Markov random fields," Pattern Recognit., vol. 33, no. 3. pp. 557-571, 2000.
10. R. Molina, J. Mateos, and A. K. Katsaggelos, "Multichannel image restoration using compound Gauss-Markov random fields," in Proc. Inf. Conf. on Acoustics, Speech, and Signal Processing, (ICASSP 2000), vol. 1, Vancouver, BC, Canada. 2000, pp. 141-144.
11. J. Mateos, R Molina, and A. K. Katsaggelos, "Color image restoration using compound Gauss-Markov random fields." in Proc. X Eur. Signal Processing Conf. (EUSIPCO'2000), vol. III. Tampere, Finland, 2000, pp. 1341-1344.
12. P. V. Blomgren, "Total Variation Methods for Restoration of Vector Valued Images," Ph.D dissertation, Univ. California, 1998.
13. F. Sroubek and J. Flusser, "An overview of multichannel image restoration techniques," in Week of Doctoral Students 1999, J. Safrànkovà, Ed., 1999, pp. 580-585.
14. E. J. Candes and F. Gou, "New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction, " Signal Process., vol. 82, no. 11, pp. 1519-1534, 2002.
15. J. Portilla and E. P. Simoncelli, "Image restoration using Gaussian scale mixtures in the wavelet domain," in Proc. Int. Conf. in Image Processing (ICIP 2003). 2003.
16. J Bescos, I. Glaser, and A. A. Sawchuk, "Restoration of color images degraded by chromatic aberrations," Appl. Opt., vol. 19, no. 22, pp. 3869-3876, 1980.
17. N. P Galatsanos and R. T. Chin, "Restoration of color images by multi-channel Kalman filtering," IEEE Trans. Signal Processing, vol. 39, no. 10, pp. 2237-2252, 1991.
18. X. Zhang, Y. Obuchi, T. Kambe, N. N. Kubo, and I. Suzuki, "Color imaging for digital cameras with a single CCD sensor," in Proc. 26th Annu. Conf. IEEE Industrial Electronics Society, IECON 2000. vol. 3, 2000, pp. 2007-2012.
19. A. Lípez, R. Molina, A. K. Katsaggelos, and J. Mateos, "SPECT image reconstruction using compound models," Int J. Pattern Recognit. Artif. Intell., vol. 16, no. 3, pp. 317-330, 2002.
20. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Machine lntell., vol. 9, no. 6, pp. 721-742, 1984.
21. F. C. Jeng, "Compound Gauss-Markov Random Fields for Image Estimation and Restoration," Ph.D. dissertation, Rensselaer Polytechnic Inst., Troy, NY, 1988.
22. R. Chellapa, T. Simchony, and Z. Lichtenstein, "Image estimation using 2D noncausal Gauss-Markov random field models," Digital Image Restor., 1991. vol. 23 of Springer Series in Information Science.
23. A. Blake and A. Zisserman, Visual Reconstruction. Cambridge, MA: MIT Press, 1987.
24. B. D. Ripley, Spatial Statistics. New York-Wiley, 1981.
25. P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, "Deterministic edge-preserving regularization in computed imaging," IEEE Trans. Image Processing, vol. 6, no. 2, pp. 298-311, 1997.
26. R. H. Chan and K. P. Ng, "Conjugate gradient method for Toeplitz systems," SIAM Rev., vol. 38, no. 3, pp. 427-182, 1996.
27. J. L. Marroquin, Probabilistic Solution of Inverse Problems. Cambridge, MA: MIT-AI 860, Artif Intell. Lab., MIT, 1985.
28. L. Bedini, M. del Corso, and A. Tonazzini, "A preconditioning technique for edge preserving image restoration," in Proc. Int. Conf. Information Intelligence and Systems (ISNLS-99), 1999, pp. 519-526.
29. F. C. Jeng and J. W. Woods, "Simulated annealing in compound Gaussian random fields," IEEE Trans. Inform. Theory, vol. 36. no. 1, pp. 94-107, 1990.
30. J. Besag, "On the statistical analysis of dirty pictures," J. R. Statist. Soc. B, vol. 48, pp. 259-302, 1986.
31. L. Younes, "Synchronous Random Fields and Image Restoration," Ecole Normale Supérieure de Cachan, Tech. Rep., CMLA, 1998.
32. M. R. Banham and A. K. Katsaggelos, "Digital image restoration," IEEE Signal Processing Mag , vol. 14, no. 2, pp. 24-41, 1997.