Total Variation denoising using posterior expectation

European Signal Processing Conference

Volumn , Issue , 2008, Pages

  Louchet, Cécile ^a   Moisan, Lionel ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL BOUNDARIES; BAYESIAN ESTIMATE; CONVERGENCE CRITERION; DE-NOISING; DENOISING METHODS; LEAST SQUARE ERRORS; MAXIMUM A POSTERIORI; MONTE CARLO; POSTERIOR DISTRIBUTIONS; REALISTIC IMAGES; TOTAL VARIATION;

BAYESIAN NETWORKS; MARKOV PROCESSES; SIGNAL PROCESSING;

IMAGE DENOISING;

EID: 85083347862     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. F. Alter, S. Durand, J. Froment, "Adapted total variation for artifact free decompression of JPEG images", J. Math. Imaging and Vision 33(2), pp. 199-211, 2005.
2. P. Blomgren, T. Chan, P. Mulet, C.K. Wong, "Total variation image restoration: numerical methods and extensions", Proceedings of Int. Conf. on Image Processing, pp. 384-387, 1997.
3. A. Buades, B. Coll, J.-M. Morel, "The staircasing effect in neighborhood filters and its solution", IEEE Transactions on Image Processing 15(6), pp. 1499-1505, 2006.
4. V. Caselles, A. Chambolle, M. Novaga, "The discontinuity set of solutions of the TV denoising problem and some extensions", Multiscale Modeling and Simulation 6(3), pp. 879-894, 2007.
5. T. Chan, A. Marquina, P. Mulet, "High-order total variationbased image restoration", SIAM Journal of Scientific Computing 22(2), pp. 503-516, 2000.
6. T. Chan, S. Esedoglu, P. Mulet, "Image decomposition combining staircase reduction and texture extraction", J. of Visual Comm. and Image Representation 18(6), pp. 464-486, 2007.
7. G. Grimmett, D. Stirzaker, Probability and Random Processes, Third Edition, Oxford University Press, 2001.
8. F. Guichard, F. Malgouyres, "Total variation based interpolation", Proceedings of Eusipco'98, vol. 3, pp. 1741-1744, 1998.
9. M. Nikolova, "Local strong homogeneity of a regularized estimator", SIAM J. on Applied Math. 61(2), pp. 633-658, 2000.
10. M. Nikolova, "Weakly constrained minimization: application to the estimation of images and signals involving constant regions", J. Math. Imaging and Vision 21, pp. 155-175, 2004.
11. L. Rudin, S. Osher, E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D 60, pp. 259-268, 1992.