L. =. Gamma-noise, 12 Noisy image 21

L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.259-268, 1992.
DOI : 10.1016/0167-2789(92)90242-F

G. Gilboa, N. Sochen, and Y. Y. Zeevi, Variational denoising of partly textured images by spatially varying constraints, IEEE Transactions on Image Processing, vol.15, issue.8, pp.2281-2289, 2006.
DOI : 10.1109/TIP.2006.875247

A. Buades, B. Coll, and J. Morel, A Review of Image Denoising Algorithms, with a New One, Multiscale Modeling & Simulation, vol.4, issue.2, pp.490-530, 2005.
DOI : 10.1137/040616024
URL : https://hal.archives-ouvertes.fr/hal-00271141

M. Mahmoudi and G. Sapiro, Fast image and video denoising via nonlocal means of similar neighborhoods, IEEE Signal Processing Letters, vol.12, issue.12, 2005.
DOI : 10.1109/LSP.2005.859509

C. Kervrann and J. Boulanger, Optimal Spatial Adaptation for Patch-Based Image Denoising, IEEE Transactions on Image Processing, vol.15, issue.10, pp.2866-2878, 2006.
DOI : 10.1109/TIP.2006.877529

M. V. De-ville and D. Kocher, Nonlocal Means With Dimensionality Reduction and SURE-Based Parameter Selection, IEEE Transactions on Image Processing, vol.20, issue.9, pp.2683-2690, 2011.
DOI : 10.1109/TIP.2011.2121083

H. Talebi, X. Xhu, and P. Milanfar, How to SAIF-ly Boost Denoising Performance, IEEE Transactions on Image Processing, vol.22, issue.4, pp.1470-1485, 2013.
DOI : 10.1109/TIP.2012.2231691

C. Louchet and L. Moisan, Total Variation as a Local Filter, SIAM Journal on Imaging Sciences, vol.4, issue.2, pp.651-694, 2011.
DOI : 10.1137/100785855
URL : https://hal.archives-ouvertes.fr/hal-00457763

C. Deledalle, V. Duval, and J. Salmon, Non-local Methods with Shape-Adaptive Patches (NLM-SAP), Journal of Mathematical Imaging and Vision, vol.13, issue.4, pp.1-18, 2011.
DOI : 10.1007/s10851-011-0294-y
URL : https://hal.archives-ouvertes.fr/hal-00536723

S. Kindermann, S. Osher, and P. Jones, Deblurring and Denoising of Images by Nonlocal Functionals, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1091-1115, 2005.
DOI : 10.1137/050622249

G. Gilboa and S. Osher, Nonlocal Operators with Applications to Image Processing, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1005-1028, 2008.
DOI : 10.1137/070698592

G. Peyré, S. Bougleux, and L. D. Cohen, Non-local Regularization of Inverse Problems, Inverse Problems and Imaging, vol.5, issue.2, pp.511-530, 2011.
DOI : 10.1007/978-3-540-88690-7_5

X. Zhang, M. Burger, X. Bresson, and S. Osher, Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction, SIAM Journal on Imaging Sciences, vol.3, issue.3, pp.253-276, 2010.
DOI : 10.1137/090746379
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.155.1059

M. Protter, M. Elad, H. Takeda, and P. Milanfar, Generalizing the Nonlocal-Means to Super-Resolution Reconstruction, IEEE Transactions on Image Processing, vol.18, issue.1, pp.36-51, 2009.
DOI : 10.1109/TIP.2008.2008067

E. Angelo and P. Vandergheynst, Fully non-local super-resolution via spectral hashing, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1137-1140, 2011.

M. Mignotte, A non-local regularization strategy for image deconvolution, Pattern Recognition Letters, vol.29, issue.16, pp.2206-2212, 2008.
DOI : 10.1016/j.patrec.2008.08.004

A. Buades, B. Coll, and J. Morel, Denoising image sequences does not require motion compensation, Proc. IEEE Conf. Advanced Video and Signal based Surveillance, pp.70-74, 2005.
DOI : 10.1109/avss.2005.1577245
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.6394

Y. Wexler, E. Shechtman, and M. Irani, Space-Time Completion of Video, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.3, pp.463-476, 2007.
DOI : 10.1109/TPAMI.2007.60

A. Chambolle, An algorithm for total variation minimization and applications, Journal of Mathematical Imaging and Vision, vol.20, pp.89-97, 2004.

P. Combettes and J. Pesquet, Proximal Splitting Methods in Signal Processing, 2010.
DOI : 10.1007/978-1-4419-9569-8_10
URL : https://hal.archives-ouvertes.fr/hal-00643807

A. Chambolle, T. C. Pock-]-p, D. P. Hansen, and . Leary, A First-Order Primal-Dual Algorithm for Convex Problems with??Applications to Imaging, Journal of Mathematical Imaging and Vision, vol.60, issue.5, pp.120-145, 1993.
DOI : 10.1007/s10851-010-0251-1
URL : https://hal.archives-ouvertes.fr/hal-00490826

S. Ramani, T. Blu, and M. Unser, Monte-Carlo Sure: A Black-Box Optimization of Regularization Parameters for General Denoising Algorithms, IEEE Transactions on Image Processing, vol.17, issue.9, pp.1540-1554, 2008.
DOI : 10.1109/TIP.2008.2001404

J. Polzehl and V. Spokoiny, Propagation-Separation Approach for Local Likelihood Estimation, Probability Theory and Related Fields, pp.335-362, 2006.
DOI : 10.1007/s00440-005-0464-1

C. Deledalle, L. Denis, and F. Tupin, Iterative Weighted Maximum Likelihood Denoising With Probabilistic Patch-Based Weights, IEEE Transactions on Image Processing, vol.18, issue.12, pp.2661-2672, 2009.
DOI : 10.1109/TIP.2009.2029593
URL : https://hal.archives-ouvertes.fr/ujm-00431266

C. Kervrann, J. Boulanger, and P. Coupé, Bayesian Non-local Means Filter, Image Redundancy and Adaptive Dictionaries for Noise Removal, Scale Space and Variational Methods in Computer Vision, pp.520-532, 2007.
DOI : 10.1007/978-3-540-72823-8_45
URL : https://hal.archives-ouvertes.fr/hal-00645444

P. Coupé, P. Hellier, C. Kervrann, and C. Barillot, Bayesian non local means-based speckle filtering, 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.1291-1294, 2008.
DOI : 10.1109/ISBI.2008.4541240

H. Zhong, Y. Li, and L. Jiao, Sar image despeckling using bayesian nonlocal means filter with sigma preselection Geoscience and Remote Sensing Letters, pp.809-813, 2011.

C. Deledalle, L. Denis, F. Tupin, A. Reigber, and M. Jäger, NL- SAR: a unified non-local framework for resolution-preserving (pol)(in) SAR denoising, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00844118

V. Duval, J. Aujol, and Y. Gousseau, A Bias-Variance Approach for the Nonlocal Means, SIAM Journal on Imaging Sciences, vol.4, issue.2, pp.760-788, 2011.
DOI : 10.1137/100790902
URL : https://hal.archives-ouvertes.fr/hal-00947885

J. Lee, Refined filtering of image noise using local statistics Computer graphics and image processing, pp.380-389, 1981.

D. T. Kuan, A. A. Sawchuk, T. C. Strand, and P. Chavel, Adaptive noise smoothing filter for images with signal-dependent noise, " Pattern Analysis and Machine Intelligence, IEEE Transactions, issue.2, pp.165-177, 1985.

A. Chambolle and P. Lions, Image recovery via total variation minimization and related problems, Numerische Mathematik, vol.76, issue.2, pp.167-188, 1997.
DOI : 10.1007/s002110050258

D. L. Donoho and J. M. Johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika, vol.81, issue.3, pp.425-455, 1994.
DOI : 10.1093/biomet/81.3.425

S. P. Awate and R. T. Whitaker, Unsupervised, information-theoretic, adaptive image filtering for image restoration Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.28, issue.3, pp.364-376, 2006.

T. Brox and D. Cremers, Iterated Nonlocal Means for Texture Restoration, Scale Space and Variationnal Methods in Computer Vision, pp.13-24, 2007.
DOI : 10.1007/978-3-540-72823-8_2

A. Buades, B. Coll, and J. Morel, Image enhancement by nonlocal reverse heat equation, 2006.

P. Arias, V. Caselles, and G. Facciolo, Analysis of a Variational Framework for Exemplar-Based Image Inpainting, Multiscale Modeling & Simulation, vol.10, issue.2, pp.473-514, 2012.
DOI : 10.1137/110848281

D. Zhou and B. Scholkopf, A regularization framework for learning from graph data, Workshop on Statistical Relational Learning and its Connections to other fields, 2004.

S. Bougleux, A. Elmoataz, and M. Melkemi, Discrete Regularization on Weighted Graphs for Image and Mesh Filtering, 1st International Conference on Scale Space and Variationnal Methods in Computer Vision (SSVM), pp.128-139, 2007.
DOI : 10.1007/978-3-540-72823-8_12
URL : https://hal.archives-ouvertes.fr/hal-00333374

G. Gilboa and S. Osher, Nonlocal Linear Image Regularization and Supervised Segmentation, Multiscale Modeling & Simulation, vol.6, issue.2, pp.595-630, 2007.
DOI : 10.1137/060669358

M. Collins, S. Dasgupta, and R. E. Schapire, A generalization of principal components analysis to the exponential family, NIPS, pp.617-624, 2002.

J. Darbon, A. Cunha, T. Chan, S. Osher, and G. Jensen, Fast non-local filtering applied to electron cryomicroscopy, IEEE Int. Symposium on Biomedical Imaging (ISBI), pp.1331-1334, 2008.
DOI : 10.1109/isbi.2008.4541250

S. Anthoine, J. Aujol, Y. Boursier, and C. Mélot, Some proximal methods for poisson intensity CBCT and PET, Inverse Problems and Imaging, vol.6, issue.4, pp.565-598, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00640215

G. Aubert and J. Aujol, A Variational Approach to Removing Multiplicative Noise, SIAM Journal on Applied Mathematics, vol.68, issue.4, pp.925-946, 2008.
DOI : 10.1137/060671814

P. Combettes and V. Wajs, Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005.
DOI : 10.1137/050626090
URL : https://hal.archives-ouvertes.fr/hal-00017649

A. Beck and M. Teboulle, A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, 2009.
DOI : 10.1137/080716542

H. Raguet, J. Fadili, and G. Peyré, A Generalized Forward-Backward Splitting, SIAM Journal on Imaging Sciences, vol.6, issue.3, 2012.
DOI : 10.1137/120872802
URL : https://hal.archives-ouvertes.fr/hal-00613637

A. Beck and M. Teboulle, Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems, IEEE Transactions on Image Processing, vol.18, issue.11, 2009.
DOI : 10.1109/TIP.2009.2028250
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.231.6217

A. Buades, B. Coll, and J. Morel, Nonlocal Image and Movie Denoising, International Journal of Computer Vision, vol.14, issue.1, pp.123-139, 2008.
DOI : 10.1007/s11263-007-0052-1
URL : https://hal.archives-ouvertes.fr/hal-00271147

C. Liu and W. Freeman, A High-Quality Video Denoising Algorithm Based on Reliable Motion Estimation, European Conference on Computer Vision (ECCV), pp.706-719, 2010.
DOI : 10.1007/978-3-642-15558-1_51

Z. Wang, A. Bovik, H. Sheikh, and E. Simoncelli, Image Quality Assessment: From Error Visibility to Structural Similarity, IEEE Transactions on Image Processing, vol.13, issue.4, pp.600-612, 2004.
DOI : 10.1109/TIP.2003.819861

K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering, IEEE Transactions on Image Processing, vol.16, issue.8, pp.2080-2095, 2007.
DOI : 10.1109/TIP.2007.901238

M. Mäkitalo and A. Foi, Poisson-gaussian denoising using the exact unbiased inverse of the generalized anscombe transformation, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1081-1084, 2012.
DOI : 10.1109/ICASSP.2012.6288074

H. Xie, L. Pierce, and F. Ulaby, Statistical properties of logarithmically transformed speckle, IEEE Transactions on Geoscience and Remote Sensing, vol.40, issue.3, pp.721-727, 2002.
DOI : 10.1109/TGRS.2002.1000333

M. Makitalo, A. Foi, D. Fevralev, and V. Lukin, Denoising of singlelook SAR images based on variance stabilization and nonlocal filters, Mathematical Methods in Electromagnetic Theory (MMET), 2010 International Conference on, pp.1-4, 2010.

K. Dabov, A. Foi, and K. Egiazarian, Video denoising by sparse 3D transform-domain collaborative filtering, Proc. 15th European Signal Processing Conference, 2007.
DOI : 10.1109/tip.2007.901238
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.5398

M. Maggioni, G. Boracchi, A. Foi, and K. Egiazarian, Video Denoising, Deblocking, and Enhancement Through Separable 4-D Nonlocal Spatiotemporal Transforms, IEEE Transactions on Image Processing, vol.21, issue.9, pp.3952-3966, 2012.
DOI : 10.1109/TIP.2012.2199324
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.6768