P. Charbonnier, L. Blanc-féraud, G. Aubert, and M. Barlaud, Deterministic edge-preserving regularization in computed imaging, IEEE Transactions on Image Processing, vol.6, issue.2, pp.298-311, 1997.
DOI : 10.1109/83.551699

K. He, J. Sun, and X. Tang, Guided Image Filtering, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.35, issue.6, pp.1397-1409, 2013.
DOI : 10.1109/TPAMI.2012.213

J. Kopf, M. Cohen, D. Lischinski, and M. Uyttendaele, Joint bilateral upsampling, ACM Transactions on Graphics, vol.26, issue.3, pp.96-100, 2007.
DOI : 10.1145/1276377.1276497

URL : http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-66178

Q. Yan, X. Shen, L. Xu, S. Zhuo, X. Zhang et al., Crossfield joint image restoration via scale map, Proc. Int. Conf. Comput. Vis, pp.1537-1544, 2013.
DOI : 10.1109/iccv.2013.194

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.967

A. Hosni, C. Rhemann, M. Bleyer, C. Rother, and M. Gelautz, Fast Cost-Volume Filtering for Visual Correspondence and Beyond, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.35, issue.2, pp.504-511, 2013.
DOI : 10.1109/TPAMI.2012.156

K. Yoon and I. S. Kweon, Adaptive support-weight approach for correspondence search, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.4, pp.650-656, 2006.
DOI : 10.1109/TPAMI.2006.70

J. Revaud, P. Weinzaepfel, Z. Harchaoui, and C. Schmid, EpicFlow: Edge-preserving interpolation of correspondences for optical flow, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp.1164-1172, 2015.
DOI : 10.1109/CVPR.2015.7298720

URL : https://hal.archives-ouvertes.fr/hal-01142656

B. Ham, M. Cho, C. Schmid, and J. Ponce, Proposal Flow, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2016.
DOI : 10.1109/CVPR.2016.378

URL : https://hal.archives-ouvertes.fr/hal-01240281

T. Zhou, Y. J. Lee, X. Y. Stella, and A. A. Efros, FlowWeb: Joint image set alignment by weaving consistent, pixel-wise correspondences, Proc. IEEE Conf. Comput. Vis. Pattern Recognit, pp.1191-1200, 2015.

D. Ferstl, C. Reinbacher, R. Ranftl, M. Rüther, and H. Bischof, Image Guided Depth Upsampling Using Anisotropic Total Generalized Variation, 2013 IEEE International Conference on Computer Vision, pp.993-1000, 2013.
DOI : 10.1109/ICCV.2013.127

Z. Ma, K. He, Y. Wei, J. Sun, and E. Wu, Constant Time Weighted Median Filtering for Stereo Matching and Beyond, 2013 IEEE International Conference on Computer Vision, pp.49-56, 2013.
DOI : 10.1109/ICCV.2013.13

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.488.3450

J. Park, H. Kim, Y. Tai, M. S. Brown, and I. Kweon, High quality depth map upsampling for 3D-TOF cameras, 2011 International Conference on Computer Vision, pp.1623-1630, 2011.
DOI : 10.1109/ICCV.2011.6126423

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.1346

G. Petschnigg, R. Szeliski, M. Agrawala, M. Cohen, H. Hoppe et al., Digital photography with flash and no-flash image pairs, ACM Transactions on Graphics, vol.23, issue.3, pp.664-672, 2004.
DOI : 10.1145/1015706.1015777

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.120.4878

L. Karacan, E. Erdem, and A. Erdem, Structure-preserving image smoothing via region covariances, ACM Transactions on Graphics, vol.32, issue.6, pp.1-17611, 2013.
DOI : 10.1145/2508363.2508403

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.499.8069

L. Xu, Q. Yan, Y. Xia, and J. Jia, Structure extraction from texture via relative total variation, ACM Transactions on Graphics, vol.31, issue.6, pp.1-13910, 2012.
DOI : 10.1145/2366145.2366158

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.8478

Q. Zhang, X. Shen, L. Xu, and J. Jia, Rolling Guidance Filter, Proc. Eur. Conf. Comput. Vis, pp.815-830, 2014.
DOI : 10.1007/978-3-319-10578-9_53

P. Perona and J. Malik, Scale-space and edge detection using anisotropic diffusion, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.7, pp.629-639, 1990.
DOI : 10.1109/34.56205

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.2553

T. Brox, O. Kleinschmidt, and D. Cremers, Efficient Nonlocal Means for Denoising of Textural Patterns, IEEE Transactions on Image Processing, vol.17, issue.7, pp.1083-1092, 2008.
DOI : 10.1109/TIP.2008.924281

P. W. Holland and R. E. Welsch, Robust regression using iteratively reweighted least-squares, Communications in Statistics - Theory and Methods, vol.3, issue.9, pp.813-827, 1977.
DOI : 10.1214/aos/1176342503

W. Liu, P. P. Pokharel, and J. C. Príncipe, Correntropy: Properties and Applications in Non-Gaussian Signal Processing, IEEE Transactions on Signal Processing, vol.55, issue.11, pp.5286-5298, 2007.
DOI : 10.1109/TSP.2007.896065

B. Ham, M. Cho, and J. Ponce, Robust image filtering using joint static and dynamic guidance, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp.4823-4831, 2015.
DOI : 10.1109/CVPR.2015.7299115

URL : https://hal.archives-ouvertes.fr/hal-01240280

C. Tomasi and R. Manduchi, Bilateral filtering for gray and color images, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271), pp.839-846, 1998.
DOI : 10.1109/ICCV.1998.710815

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.126.2091

Z. Farbman, R. Fattal, D. Lischinski, and R. Szeliski, Edge-preserving decompositions for multi-scale tone and detail manipulation, ACM Transactions on Graphics, vol.27, issue.3, pp.1-6710, 2008.
DOI : 10.1145/1360612.1360666

L. Xu, C. Lu, Y. Xu, and J. Jia, Image smoothing via l 0 gradient minimization, ACM Trans. Graphic, vol.30, issue.174, pp.1-17412, 2011.
DOI : 10.1145/2070781.2024208

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.227.9419

D. Min, J. Lu, and M. Do, Depth video enhancement based on weighted mode filtering, IEEE Trans. Image Process, vol.21, issue.3, pp.1176-1190, 2012.

A. Levin, D. Lischinski, and Y. Weiss, Colorization using optimization, ACM Transactions on Graphics, vol.23, issue.3, pp.689-694, 2004.
DOI : 10.1145/1015706.1015780

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.2434

M. Lang, O. Wang, T. Aydin, A. Smolic, and M. H. Gross, Practical temporal consistency for image-based graphics applications, ACM Transactions on Graphics, vol.31, issue.4, pp.341-375, 2012.
DOI : 10.1145/2185520.2185530

]. J. Weickert, A review of nonlinear diffusion filtering, International Conference on Scale-Space Theories in Computer Vision, pp.1-28, 1997.
DOI : 10.1007/3-540-63167-4_37

H. Badri, H. Yahia, and D. Aboutajdine, Fast Edge-Aware Processing via First Order Proximal Approximation, IEEE Transactions on Visualization and Computer Graphics, vol.21, issue.6, pp.743-755, 2015.
DOI : 10.1109/TVCG.2015.2396064

URL : https://hal.archives-ouvertes.fr/hal-01118542

X. Shen, C. Zhou, L. Xu, and J. Jia, Mutual-Structure for Joint Filtering, 2015 IEEE International Conference on Computer Vision (ICCV), pp.3406-3414, 2015.
DOI : 10.1109/ICCV.2015.389

Y. Li, J. Huang, N. Ahuja, and M. Yang, Deep Joint Image Filtering, Proc. Eur. Conf. Comput. Vis, pp.1-16, 2016.
DOI : 10.1007/978-3-642-33715-4_54

P. Kohli, L. Ladicky, and P. H. Torr, Robust higher order potentials for enforcing label consistency, Proc. IEEE Conf. Comput. Vis. Pattern Recognit, pp.1-8, 2008.
DOI : 10.1007/s11263-008-0202-0

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.8646

P. Krähenbühl and V. Koltun, Efficient inference in fully connected CRFs with Gaussian edge potentials, Adv. Neural Inf. Process. Syst, 2011.

C. Liang-chieh, G. Papandreou, I. Kokkinos, K. Murphy, and A. Yuille, Semantic image segmentation with deep convolutional nets and fully connected CRFs, International Conference on Learning Representations, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01263610

S. Zheng, S. Jayasumana, B. Romera-paredes, V. Vineet, Z. Su et al., Conditional Random Fields as Recurrent Neural Networks, 2015 IEEE International Conference on Computer Vision (ICCV), pp.1529-1537, 2015.
DOI : 10.1109/ICCV.2015.179

URL : http://arxiv.org/abs/1502.03240

J. T. Barron and B. Poole, The Fast Bilateral Solver, Proc. Eur. Conf. Comput. Vis, 2016.
DOI : 10.1007/978-3-319-46487-9_38

L. Chen, J. T. Barron, G. Papandreou, K. Murphy, and A. L. Yuille, Semantic Image Segmentation with Task-Specific Edge Detection Using CNNs and a Discriminatively Trained Domain Transform, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2016.
DOI : 10.1109/CVPR.2016.492

URL : http://arxiv.org/abs/1511.03328

D. Chan, H. Buisman, C. Theobalt, and S. Thrun, A noise-aware filter for real-time depth upsampling, Proc. Eur. Conf. Comput. Vis. Workshops, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00326784

O. M. Aodha, N. D. Campbell, A. Nair, and G. J. Brostow, Patch based synthesis for single depth image super-resolution, Proc. Eur. Conf. Comput. Vis, pp.71-84, 2012.

P. Isola, D. Zoran, D. Krishnan, and E. H. Adelson, Crisp Boundary Detection Using Pointwise Mutual Information, Proc. Eur. Conf. Comput. Vis, pp.799-814, 2014.
DOI : 10.1007/978-3-319-10578-9_52

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.466.5083

F. Durand and J. Dorsey, Fast bilateral filtering for the display of highdynamic-range images, ACM Trans. Graph, vol.21, issue.3, pp.257-266, 2002.

F. R. Hampel, E. M. Ronchetti, P. J. Rousseeuw, and W. A. Stahel, Robust statistics: The approach based on influence functions, 2011.
DOI : 10.1002/9781118186435

G. R. Lanckriet and B. K. Sriperumbudur, On the convergence of the concave-convex procedure, Advances in Neural Information Processing Systems, pp.1759-1767, 2009.

Z. Zhang, J. T. Kwok, and D. Yeung, Surrogate maximization/minimization algorithms for AdaBoost and the logistic regression model, Twenty-first international conference on Machine learning , ICML '04, p.117, 2004.
DOI : 10.1145/1015330.1015342

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.4697

C. J. Wu, On the Convergence Properties of the EM Algorithm, The Annals of statistics, pp.95-103, 1983.
DOI : 10.1214/aos/1176346060

D. R. Hunter and K. Lange, A Tutorial on MM Algorithms, The American Statistician, vol.58, issue.1, pp.30-37, 2004.
DOI : 10.1198/0003130042836

G. Mclachlan and T. Krishnan, The EM algorithm and extensions, 2007.

I. Daubechies, R. Devore, M. Fornasier, and C. S. Güntürk, Iteratively reweighted least squares minimization for sparse recovery, Communications on Pure and Applied Mathematics, vol.58, issue.1, pp.1-38, 2010.
DOI : 10.1002/cpa.20303

URL : http://arxiv.org/abs/0807.0575

R. Chandrasekaran and A. Tamir, Open questions concerning Weiszfeld's algorithm for the Fermat-Weber location problem, Mathematical Programming, pp.293-295, 1989.
DOI : 10.1007/BF01587094

D. Geman and G. Reynolds, Constrained restoration and the recovery of discontinuities, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.3, pp.367-383, 1992.
DOI : 10.1109/34.120331

M. Nikolova and M. K. Ng, Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery, SIAM Journal on Scientific Computing, vol.27, issue.3, pp.937-966, 2005.
DOI : 10.1137/030600862

M. Nikolova and R. H. Chan, The Equivalence of Half-Quadratic Minimization and the Gradient Linearization Iteration, IEEE Transactions on Image Processing, vol.16, issue.6, pp.1623-1627, 2007.
DOI : 10.1109/TIP.2007.896622

Y. Chen, T. A. Davis, W. W. Hager, and S. Rajamanickam, Algorithm 887, ACM Transactions on Mathematical Software, vol.35, issue.3, pp.221-2214, 2008.
DOI : 10.1145/1391989.1391995

D. Min, S. Choi, J. Lu, B. Ham, K. Sohn et al., Fast Global Image Smoothing Based on Weighted Least Squares, IEEE Transactions on Image Processing, vol.23, issue.12, pp.5638-5653, 2014.
DOI : 10.1109/TIP.2014.2366600

T. Kim, K. Lee, and S. Lee, Generative Image Segmentation Using Random Walks with Restart, Proc. Eur. Conf. Comput. Vis, pp.264-275, 2008.
DOI : 10.1007/978-3-540-88690-7_20

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.3818

J. Pan, H. Yang, C. Faloutsos, and P. Duygulu, Automatic multimedia cross-modal correlation discovery, Proceedings of the 2004 ACM SIGKDD international conference on Knowledge discovery and data mining , KDD '04, pp.653-658, 2004.
DOI : 10.1145/1014052.1014135

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.3860

H. Tong, C. Faloutsos, and J. Pan, Fast Random Walk with Restart and Its Applications, Sixth International Conference on Data Mining (ICDM'06), 2006.
DOI : 10.1109/ICDM.2006.70

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.129.1610

M. J. Black, G. Sapiro, D. H. Marimont, and D. Heeger, Robust anisotropic diffusion, IEEE Transactions on Image Processing, vol.7, issue.3, pp.421-432, 1998.
DOI : 10.1109/83.661192

D. Scharstein and R. Szeliski, A taxonomy and evaluation of dense twoframe stereo correspondence algorithms, International Journal of Computer Vision, vol.47, issue.1/3, pp.7-42, 2002.
DOI : 10.1023/A:1014573219977

M. Liu, O. Tuzel, and Y. Taguchi, Joint Geodesic Upsampling of Depth Images, 2013 IEEE Conference on Computer Vision and Pattern Recognition, pp.169-176, 2013.
DOI : 10.1109/CVPR.2013.29

B. Ham, D. Min, and K. Sohn, A Generalized Random Walk With Restart and its Application in Depth Up-Sampling and Interactive Segmentation, IEEE Transactions on Image Processing, vol.22, issue.7, pp.2574-2588, 2013.
DOI : 10.1109/TIP.2013.2253479

K. E. Van-de-sande, J. R. Uijlings, T. Gevers, and A. W. Smeulders, Segmentation as selective search for object recognition, 2011 International Conference on Computer Vision, pp.1879-1886, 2011.
DOI : 10.1109/ICCV.2011.6126456

D. Martin, C. Fowlkes, D. Tal, and J. Malik, A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.416-423, 2001.
DOI : 10.1109/ICCV.2001.937655

P. Arbelaez, M. Maire, C. Fowlkes, and J. Malik, Contour Detection and Hierarchical Image Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.5, pp.898-916, 2011.
DOI : 10.1109/TPAMI.2010.161