Spatially adaptive Total Variation image denoising under salt and pepper noise

European Signal Processing Conference

Volumn , Issue , 2011, Pages 278-282

  Rojas, Renán ^a   Rodriguez, Paul ^a  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DEL PERÚ   (Peru)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE MEDIAN FILTER; AUTOMATED SELECTION; COLOR IMAGES; COMPUTATIONALLY EFFICIENT; DE-NOISING; GRAY SCALE; IMAGE PIXELS; LOCAL STATISTICS; NOISY PIXELS; REGULARIZATION PARAMETERS; SALT-AND-PEPPER NOISE; SPATIALLY ADAPTIVE; TOTAL VARIATION;

ALGORITHMS; GAUSSIAN NOISE (ELECTRONIC); PARAMETERIZATION; PIXELS; SIGNAL PROCESSING;

IMAGE DENOISING;

EID: 84863765801     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. M. Nikolova, "Minimizers of cost-functions involving nonsmooth data-fidelity terms. application to the processing of outliers," SIAM J. Numerical Analysis, vol. 40, no. 3, pp. 965-994, 2002.
2. M. Nikolova, "A variational approach to remove outliers and impulse noise," J. of Math. Imag. and Vision, vol. 20, pp. 99-120, 2004.
3. T. Chan and S. Esedoglu, "Aspects of total variation regularized L1 function approximation," SIAM J. Appl Math, vol. 65, no. 5, pp. 1817-1837, 2005.
4. A. Chambolle, "Total variation minimization and a class of binary MRF models," 5th Int. Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition, vol. 3757, pp. 136-152, 2005.
5. J. Darbon and M. Sigelle, "Image restoration with discrete constrained total variation part I: Fast and exact optimization," J. of Math. Imag. and Vision, vol. 26, no. 3, pp. 261-276, 2006.
6. L. Bar, A. Brook, N. Sochen, and N. Kiryati, "Deblurring of color images corrupted by impulsive noise," IEEE TIP, vol. 16, pp. 1101-1111, 2007.
7. P. Rodríguez and B.Wohlberg, "Efficient minimization method for a generalized total variation functional," IEEE TIP, vol. 18, no. 2, pp. 322-332, 2009.
8. P. Rodríguez and B. Wohlberg, "A generalized vectorvalued total variation algorithm," in Proceedings of ICIP, Nov. 2009, pp. 1309-1312.
9. R. Chan, C. Ho, and M. Nikolova, "Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization," IEEE TIP, vol. 14, no. 10, pp. 1479-1485, 2005.
10. Y. Dong, M. Hintermüller, and M. Rincon-Camacho, "Automated regularization parameter selection in multi-scale total variation models for image restoration," Journal of Mathematical Imaging and Vision, vol. 40, pp. 82-104, 2011.
11. D. Strong and T. Chan, "Spatially and scale adaptive total variation based regularization and anisotropic diffusion in image processing," Tech. Rep., Division in Image Processing, UCLA Math Department, 1996.
12. S. Ramani, T. Blu, and M. Unser, "Monte-carlo sure: A black-box optimization of regularization parameters for general denoising algorithms," IEEE TIP, vol. 17, no. 9, pp. 1540-1554, 2008.
13. Y. Lin, B. Wohlberg, and H. Guo, "Upre method for total variation parameter selection," IEEE Signal Processing, vol. 90, no. 8, pp. 2546-2551, Aug. 2010.
14. J. Moreau, "Proximité et dualité dans un espace hilbertien," Bulletin de la Société Mathématique de France, pp. 273-299, 1965.
15. K Yosida, Functional Analysis, Springer Verlag, 4th ed. edition, 1974.
16. A. Bonnet, "On the regularity of edges in image segmentation," Annales de l'institut Henri Poincaré (C) Analyse non linéaire, vol. 13, no. 4, pp. 485-528, 1996.
17. X. Bresson and T. Chan, "Fast dual minimization of the vectorial total variation norm and applications to color image processing," J. of Inverse Problems and Imaging, vol. 2, no. 4, pp. 455-484, 2008.
18. H. Hwang and R. Haddad, "Adaptive median filters: New algorithms and results," IEEE Transactions on Image Processing, pp. 499-502, 1995.
19. Z.Wang, A. Bovik, H. Sheikh, and E. Simoncelli, "Perceptual image quality assessment: From error visibility to structural similarity," IEEE TIP, vol. 13, no. 4, pp. 600-612, April 2004.
20. P. Rodríguez and B. Wohlberg, "Numerical methods for inverse problems and adaptive decomposition (NUMIPAD)," http://numipad.sourceforge. net/.