C. Aguerrebere, A. Almansa, J. Delon, Y. Gousseau, and P. Musé, A Bayesian Hyperprior Approach for Joint Image Denoising and Interpolation, with an Application to HDR Imaging, IEEE Transactions on Computational Imaging, 2017.
DOI : 10.1109/TCI.2017.2704439

URL : https://hal.archives-ouvertes.fr/hal-01107519

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

S. Awate and R. Whitaker, Image denoising with unsupervised information-theoretic adaptive filtering, International Conference on Computer Vision and Pattern Recognition (CVPR 2005), pp.44-51, 2004.
DOI : 10.1109/cvpr.2005.176

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.227.8728

C. Barnes, E. Shechtman, A. Finkelstein, and D. Goldman, Patchmatch: A randomized correspondence algorithm for structural image editing, ACM Transactions on Graphics-TOG, vol.28, issue.3, p.24, 2009.
DOI : 10.1145/2018396.2018421

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.4194

L. Bergé, C. Bouveyron, and S. Girard, Package for Model-Based Clustering and Discriminant Analysis of High-Dimensional Data, Journal of Statistical Software, vol.46, issue.6, pp.1-29, 2012.
DOI : 10.18637/jss.v046.i06

C. Bouveyron and C. Brunet-saumard, Model-based clustering of high-dimensional data: A review, Computational Statistics & Data Analysis, vol.71, pp.52-78, 2014.
DOI : 10.1016/j.csda.2012.12.008

URL : https://hal.archives-ouvertes.fr/hal-00750909

C. Bouveyron, S. Girard, and C. Schmid, High-dimensional data clustering, Computational Statistics & Data Analysis, vol.52, issue.1, pp.502-519, 2007.
DOI : 10.1016/j.csda.2007.02.009

URL : https://hal.archives-ouvertes.fr/inria-00548573

A. Buades, B. Coll, and J. M. , A Review of Image Denoising Algorithms, with a New One, Multiscale Modeling & Simulation, vol.4, issue.2, pp.490-530, 2006.
DOI : 10.1137/040616024

URL : https://hal.archives-ouvertes.fr/hal-00271141

A. Buades, B. Coll, J. Morel, and C. Sbert, Self-Similarity Driven Color Demosaicking, IEEE Transactions on Image Processing, vol.18, issue.6, pp.1192-202, 2009.
DOI : 10.1109/TIP.2009.2017171

URL : https://hal.archives-ouvertes.fr/hal-00449362

A. Criminisi, K. Pérez, and . Toyama, Region filling and object removal by exemplar-based image inpainting. Image Process, IEEE Trans, vol.13, issue.9, pp.1200-1212, 2004.
DOI : 10.1109/tip.2004.833105

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.9434

A. Criminisi, P. Pérez, and K. Toyama, Region Filling and Object Removal by Exemplar-Based Image Inpainting, IEEE Transactions on Image Processing, vol.13, issue.9, pp.1200-1212, 2004.
DOI : 10.1109/TIP.2004.833105

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.9434

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

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.5398

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.2661-72, 2009.
DOI : 10.1109/TIP.2009.2029593

URL : https://hal.archives-ouvertes.fr/ujm-00431266

C. Deledalle, F. Tupin, and L. Denis, Poisson NL means: Unsupervised non local means for Poisson noise, 2010 IEEE International Conference on Image Processing
DOI : 10.1109/ICIP.2010.5653394

URL : https://hal.archives-ouvertes.fr/hal-00957982

A. A. Efros and T. K. Leung, Texture synthesis by non-parametric sampling, Proceedings of the Seventh IEEE International Conference on Computer Vision, pp.1033-1038, 1999.
DOI : 10.1109/ICCV.1999.790383

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.2805

C. Fraley and A. E. Raftery, Model-Based Clustering, Discriminant Analysis, and Density Estimation, Journal of the American Statistical Association, vol.97, issue.458, pp.611-631, 2002.
DOI : 10.1198/016214502760047131

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.5734

O. Frigo, N. Sabater, J. Delon, and P. Hellier, Split and Match: Example-Based Adaptive Patch Sampling for Unsupervised Style Transfer, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp.553-561, 2016.
DOI : 10.1109/CVPR.2016.66

URL : https://hal.archives-ouvertes.fr/hal-01280818

A. Hertzmann, E. Charles, N. Jacobs, B. Oliver, . Curless et al., Image analogies, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.327-340, 2001.
DOI : 10.1145/383259.383295

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

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.6155

C. Kervrann and J. Boulanger, Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation, International Journal of Computer Vision, vol.27, issue.2, pp.45-69, 2007.
DOI : 10.1007/978-1-4612-0845-7

V. Kwatra, I. Essa, A. Bobick, and N. Kwatra, Texture optimization for example-based synthesis, ACM Transactions on Graphics, vol.24, issue.3, pp.795-802, 2005.
DOI : 10.1145/1073204.1073263

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.89.8859

M. Lebrun, A. Buades, and J. M. , A Nonlocal Bayesian Image Denoising Algorithm, SIAM Journal on Imaging Sciences, vol.6, issue.3, pp.1665-1688, 2013.
DOI : 10.1137/120874989

G. Mclachlan and D. Peel, Finite mixture models, 2000.
DOI : 10.1002/0471721182

G. J. Mclachlan and T. Krishnan, The EM Algorithm and Extensions, 1997.

A. Newson, A. Almansa, M. Fradet, Y. Gousseau, and P. Pérez, Video Inpainting of Complex Scenes, SIAM Journal on Imaging Sciences, vol.7, issue.4, pp.1993-2019, 2014.
DOI : 10.1137/140954933

URL : https://hal.archives-ouvertes.fr/hal-00937795

E. Ordentlich, G. Seroussi, S. Verdu, M. Weinberger, and T. Weissman, A discrete universal denoiser and its application to binary images, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429), p.117, 2003.
DOI : 10.1109/ICIP.2003.1246912

G. Peyré, S. Bougleux, and L. Cohen, Non-local Regularization of Inverse Problems, ECCV 2008, pp.57-68, 2008.
DOI : 10.1007/978-3-540-88690-7_5

G. Schwarz, Estimating the dimension of a model. The annals of statistics, pp.461-464, 1978.

M. E. Tipping and C. M. Bishop, Mixtures of Probabilistic Principal Component Analyzers, Neural Computation, vol.2, issue.1, pp.443-482, 1999.
DOI : 10.1007/BF00162527

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.3938

Y. Wang and J. Morel, SURE Guided Gaussian Mixture Image Denoising, SIAM Journal on Imaging Sciences, vol.6, issue.2, pp.999-1034, 2013.
DOI : 10.1137/120901131

URL : https://hal.archives-ouvertes.fr/hal-00785334

T. Weissman, E. Ordentlich, G. Seroussi, S. Verdú, and M. J. Weinberger, Universal discrete denoising: known channel, IEEE Transactions on Information Theory, vol.51, issue.1, pp.5-28, 2005.
DOI : 10.1109/TIT.2004.839518

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.3305

Y. Wexler, E. Shechtman, and M. Irani, Space-time completion of video, IEEE Transactions on pattern analysis and machine intelligence, vol.29, issue.3, 2007.

C. F. Wu, On the Convergence Properties of the EM Algorithm, The Annals of Statistics, vol.11, issue.1, pp.95-103, 1983.
DOI : 10.1214/aos/1176346060

G. Yu, G. Sapiro, and S. Mallat, Solving inverse problems with piecewise linear estimators: from gaussian mixture models to structured sparsity, IEEE Trans. Image Process, vol.21, issue.5, pp.2481-99, 2012.

D. Zoran and Y. Weiss, From learning models of natural image patches to whole image restoration, 2011 International Conference on Computer Vision, pp.479-486, 2011.
DOI : 10.1109/ICCV.2011.6126278