P. Arias, G. Facciolo, V. Caselles, and G. Sapiro, A Variational Framework for Exemplar-Based Image Inpainting, International Journal of Computer Vision, vol.29, issue.3, pp.319-347, 2011.
DOI : 10.1109/TPAMI.2007.60

J. Aujol, S. Ladjal, and S. Masnou, Exemplar-Based Inpainting from a Variational Point of View, SIAM Journal on Mathematical Analysis, vol.42, issue.3, pp.1246-1285, 2010.
DOI : 10.1137/080743883

URL : https://hal.archives-ouvertes.fr/hal-00392011

C. Ballester, M. Bertalmío, V. Caselles, G. Sapiro, and J. Verdera, Filling-in by joint interpolation of vector fields and gray levels, IEEE Transactions on Image Processing, vol.10, issue.8, pp.1200-1211, 2001.
DOI : 10.1109/83.935036

C. Ballester, F. Calderero, V. Caselles, and G. Facciolo, Multiscale Analysis of Similarities between Images on Riemannian Manifolds, Multiscale Modeling & Simulation, vol.12, issue.2, pp.616-649, 2014.
DOI : 10.1137/130926833

C. Ballester and M. Gonzalez, Affine invariant texture segmentation and shape from texture by variational methods, Journal of Mathematical Imaging and Vision, vol.9, issue.2, pp.141-171, 1998.
DOI : 10.1023/A:1008337710072

C. Barnes, E. Shechtman, A. Finkelstein, and D. B. Goldman, Patch- Match: a randomized correspondence algorithm for structural image editing, ACM SIGGRAPH 2009 Papers, pp.1-11, 2009.

C. Barnes, E. Shechtman, D. B. Goldman, and A. Finkelstein, The Generalized PatchMatch Correspondence Algorithm, European Conference on Computer Vision, 2010.
DOI : 10.1007/978-3-642-15558-1_3

M. Bertalmío, G. Sapiro, V. Caselles, and C. Ballester, Image inpainting, Proceedings of SIGGRAPH, pp.417-424, 2000.

A. Buades, B. Coll, and J. Morel, A Non-Local Algorithm for Image Denoising, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), pp.60-65, 2005.
DOI : 10.1109/CVPR.2005.38

F. Cao, Y. Gousseau, S. Masnou, and P. Prez, Geometrically Guided Exemplar-Based Inpainting, SIAM Journal on Imaging Sciences, vol.4, issue.4, pp.1143-1179, 2011.
DOI : 10.1137/110823572

URL : https://hal.archives-ouvertes.fr/hal-00952697

T. Chan and J. H. Shen, Mathematical models for local nontexture inpaintings, SIAM J. App. Math, vol.62, issue.3, pp.1019-1062, 2001.

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

L. Demanet, B. Song, and T. Chan, Image inpainting by correspondence maps: a deterministic approach, Applied and Computational Mathematics, vol.1100, pp.217-50, 2003.

I. Drori, D. Cohen-or, and H. Yeshurun, Fragment-based image completion, ACM SIGGRAPH 2003 Papers, pp.303-315, 2003.

A. A. Efros and T. K. Leung, Texture synthesis by non-parametric sampling, Proceedings of the Seventh IEEE International Conference on Computer Vision, pp.1033-1071, 1999.
DOI : 10.1109/ICCV.1999.790383

V. Fedorov, P. Arias, R. Sadek, G. Facciolo, and C. Ballester, Linear Multiscale Analysis of Similarities between Images on Riemannian Manifolds: Practical Formula and Affine Covariant Metrics, SIAM Journal on Imaging Sciences, vol.8, issue.3, pp.2021-2069, 2015.
DOI : 10.1137/141000002

A. Foi and G. Boracchi, Foveated self-similarity in nonlocal image filtering . Human Vision and Electronic Imaging XVII, p.829110, 2012.

J. Garding and T. Lindeberg, Direct estimation of local surface shape in a fixating binocular vision system, Eklundh, Lecture Notes in Computer Science, pp.365-376, 1994.
DOI : 10.1007/3-540-57956-7_40

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

J. Gårding, Shape from texture for smooth curved surfaces in perspective projection, Journal of Mathematical Imaging and Vision, vol.12, issue.4, pp.327-350, 1992.
DOI : 10.1007/BF00121877

J. Gårding and T. Lindeberg, Direct computation of shape cues using scale-adapted spatial derivative operators, International Journal of Computer Vision, vol.8, issue.8, pp.163-191, 1996.
DOI : 10.1007/978-1-4757-6465-9

J. Hays and A. A. Efros, Scene completion using millions of photographs, SIGGRAPH, 2007.

J. B. Huang, J. Kopf, N. Ahuja, and S. B. Kang, Transformation guided image completion, IEEE International Conference on Computational Photography (ICCP), pp.1-9, 2013.
DOI : 10.1109/ICCPhot.2013.6528313

J. B. Huang, S. B. Kang, N. Ahuja, and J. Kopf, Image completion using planar structure guidance, Proceedings of SIGGRAPH 2014), pp.1-12910, 2014.
DOI : 10.1007/s11263-012-0515-x

N. Kawai, T. Sato, and N. Yokoya, Image Inpainting Considering Brightness Change and Spatial Locality of Textures and Its Evaluation, Advances in Image and Video Technology, pp.271-282, 2009.
DOI : 10.1109/CVPR.2003.1211414

D. Lowe, Distinctive Image Features from Scale-Invariant Keypoints, International Journal of Computer Vision, vol.60, issue.2, pp.91-110, 2004.
DOI : 10.1023/B:VISI.0000029664.99615.94

A. Mansfield, M. Prasad, C. Rother, T. Sharp, P. Kohli et al., Transforming Image Completion, Procedings of the British Machine Vision Conference 2011, pp.121-122, 2011.
DOI : 10.5244/C.25.121

S. Masnou, Disocclusion: a variational approach using level lines, IEEE Transactions on Image Processing, vol.11, issue.2, pp.68-76, 2002.
DOI : 10.1109/83.982815

S. Masnou and J. Morel, Level lines based disocclusion, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), pp.259-263, 1998.
DOI : 10.1109/ICIP.1998.999016

J. Matas, O. Chum, M. Urban, and T. Pajdla, Robust wide-baseline stereo from maximally stable extremal regions, Image and Vision Computing, vol.22, issue.10, pp.761-767, 2004.
DOI : 10.1016/j.imavis.2004.02.006

K. Mikolajczyk and C. Schmid, Scale & Affine Invariant Interest Point Detectors, International Journal of Computer Vision, vol.60, issue.1, pp.63-86, 2004.
DOI : 10.1023/B:VISI.0000027790.02288.f2

URL : https://hal.archives-ouvertes.fr/inria-00548554

E. A. Nadaraya, On estimating regression. Theory of Probability & Its Applications, pp.141-142, 1964.

D. Pavi´cpavi´c, V. Schonefeld, and L. Kobbelt, Interactive image completion with perspective correction. The Visual Computer, pp.9-11671, 2006.

G. Peyré, Manifold models for signals and images, Computer Vision and Image Understanding, vol.113, issue.2, pp.249-260, 2009.
DOI : 10.1016/j.cviu.2008.09.003

L. Pizarro, P. Mrázek, S. Didas, S. Grewenig, and J. Weickert, Generalised Nonlocal Image Smoothing, International Journal of Computer Vision, vol.9, issue.4, pp.62-87, 2010.
DOI : 10.1007/978-1-4612-4838-5

Z. Wang, Image Affine Inpainting, Image Analysis and Recognition, pp.1061-1070, 2008.
DOI : 10.1007/978-3-540-69812-8_106

G. S. Watson, Smooth regression analysis, Sankhya: The Indian Journal of Statistics, Series A, vol.26, issue.4, pp.359-372, 1961.

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

URL : http://www.wisdom.weizmann.ac.il/%7Evision/VideoCompletion/SpaceTimeCompletion_PAMI07.pdf