A primal-dual proximal splitting approach for restoring data corrupted with Poisson-Gaussian noise

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2012, Pages 1085-1088

  Jezierska, Anna ^a   Chouzenoux, Emilie ^a   Pesquet, Jean Christophe ^a   Talbot, Hugues ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

convex optimization; deconvolution; denoising; image restoration

Indexed keywords

CONTINUOUS-DISCRETE MODEL; CONVEX OPTIMIZATION ALGORITHMS; DE-NOISING; DIFFERENTIABILITY; INFINITE SUMS; ITERATIVE SCHEMES; LINEAR OPERATORS; LIPSCHITZ; LOG LIKELIHOOD; NOISE STATISTICS; PENALTY TERM; PRIMAL-DUAL;

CONVEX OPTIMIZATION; DECONVOLUTION; FLUORESCENCE MICROSCOPY; IMAGE RECONSTRUCTION; ITERATIVE METHODS; MATHEMATICAL OPERATORS; SIGNAL PROCESSING;

GAUSSIAN NOISE (ELECTRONIC);

EID: 84867598641     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2012.6288075     Document Type: Conference Paper

References (20)

1. F. Benvenuto, A. La Camera, C. Theys, A. Ferrari, H. Lantéri, and M. Bertero, "The study of an iterative method for the reconstruction of images corrupted by Poisson and Gaussian noise," Inverse Problems, vol. 24, no. 3, 2008.
2. D. L. Snyder, A. M. Hammoud, and R. L. White, "Image recovery from data acquired with a charge-coupled-device camera," Journal of the Optical Society of America A, vol. 10, no. 5, pp. 1014-1023, May 1993.
3. T. E. Nichols, J. Qi, E. Asma, and R. M. Leahy, "Spatiotemporal reconstruction of list-mode PET data," IEEE Transactions on Medical Imaging, vol. 21, no. 4, pp. 396-404, Apr. 2002.
4. S. Delpretti, F. Luisier, S. Ramani, T. Blu, and M. Unser, "Multiframe SURELET denoising of timelapse fluorescence microscopy images," in 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI), Paris, France, May 2008, pp. 149-152.
5. F. Luisier, T. Blu, and M. Unser, "Image denoising in mixed Poisson-Gaussian noise," IEEE Transactions on Image Processing, vol. 20, no. 3, pp. 696-708, Mar. 2011.
6. G. Boracchi and A. Foi, "Multiframe raw-data denoising based on block-matching and 3-D filtering for low-light imaging and stabilization," in The 2008 International Workshop on Local and Non-Local Approximation in Image Processing, Lausanne, Switzerland, Aug. 2008.
7. B. Begovic, V. Stankovic, and L. Stankovic, "Contrast enhancement and denoising of Poisson and Gaussian mixture noise for solar images," in IEEE International Conference on Image Processing (ICIP), Brussels, Belgium, Sep. 2011, pp. 185-188.
8. 0 analysis-based sparsity," in IEEE International Conference on Image Processing (ICIP), Brussels, Belgium, Sep. 2011, pp. 1385-1388.
9. F. Murtagh, J.-L. Starck, and A. Bijaoui, "Image restoration with noise suppression using a multiresolution support," Astronomy and Astrophysics Supplement, vol. 112, pp. 179-189, 1995.
10. A. Foi, "Clipped noisy images: Heteroskedastic modeling and practical denoising," Signal Processing, vol. 89, no. 12, pp. 2609-2629, Dec. 2009.
11. P. L. Combettes and J.-C. Pesquet, "Primal-dual splitting algorithm for solving inclusions with mixtures of composite, lipschitzian, and parallel-sum type monotone operators," Set-Valued and Variational Analysis, pp. 1-24, 2011, 10.1007/s11228-011-0191-y.
12. H. Raguet, J. Fadili, and G. Peyré, "Generalized Forward-Backward splitting," Tech. Rep., 2011, http://hal.archives- ouvertes.fr/hal-00613637.
13. G. Demoment, "Image reconstruction and restoration: Overview of common estimation structure and problems," IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 37, no. 12, pp. 2024-2036, Dec. 1989.
14. Y. C. Eldar, P. Kuppinger, and H. Bolcskei, "Block-sparse signals: Uncertainty relations and efficient recovery," IEEE Transactions on Signal Processing, vol. 58, no. 6, pp. 3042-3054, Jun. 2010.
15. L. I. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Journal Physica D, vol. 60, pp. 259-268, 1992.
16. N. Pustelnik, C. Chaux, and J.-C. Pesquet, "Parallel proximal algorithm for image restoration using hybrid regularization," IEEE Transactions on Image Processing, vol. 20, no. 9, pp. 2450-2462, Sep. 2011.
17. P. L. Combettes and J.-C. Pesquet, "Proximal splitting methods in signal processing," in Fixed-Point Algorithms for Inverse Problems in Science and Engineering, H. H. Bauschke, R. Burachik, P. L. Combettes, V. Elser, D. R. Luke, and H. Wolkowicz, Eds., pp. 185-212. Springer-Verlag, New York, 2010.
18. P. L. Combettes and J.-C. Pesquet, "A proximal decomposition method for solving convex variational inverse problems," Inverse Problems, vol. 24, no. 6, Dec. 2008.
19. L. M. Briceños Arias and P. L. Combettes, "A monotone + skew splitting model for composite monotone inclusions in duality," SIAM Journal on Optimization, vol. 21, no. 4, pp. 1230-1250, Oct. 2011.
20. F.-X. Dupe, J.M. Fadili, and J.-L. Starck, "A proximal iteration for deconvolving Poisson noisy images using sparse representations," IEEE Transactions on Image Processing, vol. 18, no. 2, pp. 310-321, Feb. 2009.