Bayesian restoration using a new nonstationary edge-preserving image prior

IEEE Transactions on Image Processing

Volumn 15, Issue 10, 2006, Pages 2987-2997

  Chantas, Giannis K ^a   Galatsanos, Nikolaos P ^a   Likas, Aristidis C ^a  

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE QUALITY; MARKOV PROCESSES; MATHEMATICAL MODELS;

BAYESIAN RESTORATION; IMAGE DISCONTINUITIES; IMAGE RESTORATION ALGORITHMS; MARKOV RANDOM FIELDS (MRFS); NONSTATIONARY EDGE-PRESERVING IMAGE;

IMAGE RECONSTRUCTION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BAYES THEOREM; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; BAYES THEOREM; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; STOCHASTIC PROCESSES;

EID: 33749183385     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2006.877520     Document Type: Article

References (30)

1. N. P. Galatsanos and A. K. Katsaggelos, "Methods for choosing the regularization parameter and estimating the noise variance in image restoration and their relation," IEEE Trans. Image Process., vol. 1, no. 7, pp. 322-336, Jul. 1992.
2. J. Ruanaidh and W. Fitzegerald, Numerical Bayesian Methods Applied to Signal Processing. New York: Springer Verlag, 1996.
3. R. Molina, "On the hierarchical Bayesian approach to image restoration. Applications to astronomical images," IEEE Trans. Pattern Anal. Mach. Intell., vol. 16, no. 11, pp. 1122-1128, Nov. 1994.
4. R. Molina, A. K. Katsaggelos, and J. Mateos, "Bayesian and regularization methods for hyper-parameter estimation in image restoration," IEEE Trans. Image Process., vol. 8, no. 2, pp. 231-246, Feb. 1999.
5. N. P. Galatsanos, V. N. Mesarovic, R. M. Molina, and A. K. Katsaggelos, "Hierarchical Bayesian image restoration from partially-known blurs," IEEE Trans. Image Process., vol. 9, no. 10, pp. 1784-1797, Oct. 2000.
6. R. Molina and B. D. Ripley, "Using spatial models as priors in astronomical images analysis," J. Appl. Statist., vol. 16, pp. 193-206, 1989.
7. G. Anderson and A. Netrevali, "Image restoration based on a subjective criterion," IEEE Trans. Syst., Man, Cybern., no. 6, pp. 845-853, Dec. 1976.
8. A. Katsaggelos, J. Biemond, R. M. Mersereau, and R. W. Schafer, "Non stationary iterative image restoration," in Proc. IEEE Int. Conf. Acoustics Speech and Signal Processing, Tampa, FL, 1985, pp. 696-699.
9. R. L. Lagendijk, J. Biemond, and D. E. Boekee, "Regularized iterative image restoration with ringing reduction," IEEE Trans. Acoust., Speech, Signal Process., vol. 36, no. 12, pp. 1874-1887, Dec. 1988.
10. A. K. Katsaggelos, J. Biemond, R. Mersereau, and R. Schaefer, "A regularized iterative restoration algorithm," IEEE Trans. Signal Process., vol. 39, no. 4, pp. 914-929, Apr. 1991.
11. A. K. Katsaggelos,, A. Bovik, Ed., "Iterative image restoration," in Handbook on Image and Video Processing. New York: Academic, 2000, pp. 191-206.
12. M. E. Tipping, "Sparse Bayesian learning and the relevance vector machine," J. Mach. Learn. Res., vol. 1, pp. 211-244, 2001.
13. N. Galatsanos, V. N. Mesarovic, R. M. Molina, J. Mateos, and A. K. Katsaggelos, "Hyper-parameter estimation using gamma hyper-priors in image restoration from partially-known blurs," Opt. Eng., vol. 41, no. 8, pp. 1845-1854, Aug. 2002.
14. J. Berger, Statistical Decision Theory and Bayesian Analysis. New York: Springer, 1993.
15. J. M. Bernardo and A. F. M. Smith, Bayesian Theory. New York: Wiley, 2000.
16. D. J. MacKay, "Bayesian methods for backpropagation networks," in Models of Neural Networks III, E. Domany, J. L. Van Hammen, K. Schulten, and editors, Eds. New York: Springer-Verlag, 1994, ch. 6, pp. 211-254.
17. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distribution, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell., vol. 6, pp. 228-238, Nov. 1984.
18. F. C. Jeng and J. W. Woods,, A. K. Katsaggelos, Ed., "Compound Gauss-Markov models for image processing," in Digital Image Restoration. Berlin, Germany: Springer, 1991, vol. 23.
19. F.-C. Jeng and J. W. Woods, "Compound Gauss-Markov fields for image estimation," IEEE Trans. Signal Process., vol. 39, no. 3, Mar. 1991.
20. R. Chellapa, T. Simchony, and Z. Lichtenstein, "Image estimation using 2D noncausal Gaussian Markov random field models," in Digital Image Restoration, A. K. Katsaggelos, Ed. Berlin, Germany: Springer, 1991, vol. 23.
21. 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, pp. 555-571, 2000.
22. A. Wilsky, "Multiresolution Markov models for signal and image processing," Proc. IEEE, vol. 90, no. 8, pp. 1397-1458, Aug. 2002.
23. S. G. Nash and A. Sofer, Linear and Nonlinear Programming. New York: Mc Graw Hill, 1996.
24. A. K. Jain, Fundamentals of Digital Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1988.
25. M. A. T. Figueiredo and R. D. Nowak, "An EM algorithm for wavelet-based image restoration," IEEE Trans. Image Process., vol. 12, no. 8, pp. 866-881, Aug. 2003.
26. M. Banham and A. Katsaggelos, "Spatially adaptive wavelet-based multiscale image restoration," IEEE Trans. Image Process., vol. 3, no. 6, pp. 619-634, Nov. 1996.
27. J. Liu and P. Moulin, "Complexity-regularized image restoration," in Proc. IEEE Int. Conf. Image Processing, Chicago, IL, 1998, vol. 1, pp. 555-559.
28. R. Neelamani, H. Choi, and R. Baraniuk, "ForWaRD: Fourier-wavelet regularized deconvolution for ill-conditioned systems," IEEE Trans. Image Process., vol. 52, no. 2, pp. 418-433, Feb. 2004.
29. D. Wipf and B. Rao, "Sparse Bayesian learning for basis selection," IEEE Trans. Signal Process., vol. 52, no. 8, pp. 2153-2164, Aug. 2004.
30. P. Charbonnier, L. Bland-Féraud, G. Aubert, and M. Barlaud, "Deterministic edge preserving regularization in computed imaging," IEEE Trans. Image Process., vol. 6, no. 2, pp. 298-311, Feb. 1997.