L. Alvarez, J. Weickert, and J. Sanchez, A scale-space approach to nonlocal optical flow calculations, Scale-Space Theories in Computer Vision, Second International Conference, Scale-Space 99, pp.235-246

C. Ballester, V. Caselles, L. Igual, J. Verdera, and B. Rougé, A Variational Model for P+XS Image Fusion, International Journal of Computer Vision, vol.4, issue.6, pp.43-58, 2006.
DOI : 10.1007/s11263-006-6852-x

C. Ballester, V. Caselles, J. Verdera, M. Bertalmio, and G. Sapiro, A variational model for filling-in gray level and color images, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.10-16
DOI : 10.1109/ICCV.2001.937493

G. Barles and P. E. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations, 29th IEEE Conference on Decision and Control, pp.271-283, 1991.
DOI : 10.1109/CDC.1990.204046

A. Buades, B. Coll, and J. M. , Neighborhood filters and PDE???s, Numerische Mathematik, vol.23, issue.1, pp.1-34, 2006.
DOI : 10.1007/s00211-006-0029-y

B. Cabral and L. C. Leedom, Imaging vector fields using line integral convolution, Proceedings of the 20th annual conference on Computer graphics and interactive techniques , SIGGRAPH '93, pp.263-270, 1993.
DOI : 10.1145/166117.166151

R. A. Carmona and S. Zhong, Adaptive smoothing respecting feature directions, IEEE Transactions on Image Processing, vol.7, issue.3, pp.353-358, 1998.
DOI : 10.1109/83.661185

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.614.600

V. Caselles, B. Coll, and J. M. , Geometry and Color in Natural Images, Journal of Mathematical Imaging and Vision, vol.16, issue.2, pp.89-105, 2002.
DOI : 10.1023/A:1013943314097

B. Coll, J. L. Lisani, and C. Sbert, Color images filtering by anisotropic diffusion, Proc. Int. Conf. IWSSIP 2005, pp.305-308, 2005.

G. H. Cottet and L. Germain, Image processing through reaction combined with nonlinear diffusion, Mathematics of Computation, vol.61, issue.204, pp.659-673, 1993.
DOI : 10.1090/S0025-5718-1993-1195422-2

M. G. Crandall, H. Ishii, and P. Lions, user's guide to viscosity solutions\\ of second order\\ partial differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-63, 1992.
DOI : 10.1090/S0273-0979-1992-00266-5

A. Criminisi, P. Perez, and K. Toyama, Object removal by exemplarbased inpainting, Computer Vision and Pattern Recognition, Proceedings . 2003 IEEE Computer Society Conference on 2, 2003.

D. Gabor, Information theory in electron microscopy, Lab Invest, vol.14, pp.801-808, 1965.

Y. Giga, S. Goto, H. Ishii, and M. Sato, Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains, Math. J, vol.40, issue.2, pp.443-470, 1991.

T. Iijima, Theory of pattern recognition, Electronics and Communications in Japan, pp.123-134, 1963.

P. Kornprobst, Contributions a la restauration dímages et a l´analyse des sequences: approches variationelles et solutions de viscosite

J. S. Lee, Digital image smoothing and the sigma filter, Computer Vision, Graphics, and Image Processing, vol.24, issue.2, pp.255-269, 1983.
DOI : 10.1016/0734-189X(83)90047-6

D. Marr and E. Hildreth, Theory of Edge Detection, Proceedings of the Royal Society of London. Series B, pp.187-217, 1980.
DOI : 10.1098/rspb.1980.0020

B. Merriman, J. K. Bence, and S. Osher, Diffusion Generated Motion by Mean Curvature, Dept. of Mathematics, 1992.

H. H. Nagel and W. Enkelmann, An Investigation of Smoothness Constraints for the Estimation of Displacement Vector Fields from Image Sequences, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.8, issue.5, pp.565-593, 1986.
DOI : 10.1109/TPAMI.1986.4767833

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

G. Sapiro and D. Ringach, Anisotropic diffusion of multivalued images with applications tocolor filtering, Image Processing, IEEE Transactions on, vol.5, issue.11, pp.1582-1586, 1996.

D. Tschumperle and R. Deriche, Vector-valued image regularization with PDEs: a common framework for different applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.27, issue.4, pp.506-517, 2005.
DOI : 10.1109/TPAMI.2005.87

J. Weickert, Theoretical Foundations of Anisotropic Diffusion in Image Processing, Computing, vol.11, pp.221-236, 1996.
DOI : 10.1007/978-3-7091-6586-7_13

J. Weickert and C. Schnörr, A Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion, International Journal of Computer Vision, vol.45, issue.3, pp.245-264, 2001.
DOI : 10.1023/A:1013614317973

L. Yatziv and G. Sapiro, Fast image and video colorization using chrominance blending, Image Processing, IEEE Transactions on, vol.15, issue.5, pp.1120-1129, 2006.