L. Alvarez, J. Weickert, and J. Sánchez, Reliable estimation of dense optical flow fields with large displacements, International Journal of Computer Vision, vol.39, issue.1, pp.41-56, 2000.
DOI : 10.1023/A:1008170101536

T. Brox, A. Bruhn, N. Papenberg, and J. Weickert, High Accuracy Optical Flow Estimation Based on a Theory for Warping, Proceedings of European Conference on Computer Vision, pp.25-36, 2004.
DOI : 10.1007/978-3-540-24673-2_3

B. Horn and B. Schunk, Determining optical flow, Artificial Intelligence, vol.17, issue.1-3, pp.185-203, 1981.
DOI : 10.1016/0004-3702(81)90024-2

E. Huot, I. Herlin, and G. Korotaev, Assimilation of SST Satellite Images for Estimation of Ocean Circulation Velocity, IGARSS 2008, 2008 IEEE International Geoscience and Remote Sensing Symposium, 2008.
DOI : 10.1109/IGARSS.2008.4779127
URL : https://hal.archives-ouvertes.fr/inria-00583029

D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989.
DOI : 10.1002/cpa.3160420503

H. Nagel, Displacement vectors derived from second-order intensity variations in image sequences, Computer Vision, Graphics, and Image Processing, pp.85-117, 1983.

J. Odobez and P. Bouthemy, Direct incremental model-based image motion segmentation for video analysis, Signal Processing, vol.66, issue.2, pp.143-155, 1998.
DOI : 10.1016/S0165-1684(98)00003-6

D. Oliver, Calculation of the inverse of the covariance, Mathematical Geology, vol.30, issue.7, pp.911-933, 1998.
DOI : 10.1023/A:1021734811230

N. Papadakis, T. Corpetti, and E. Mémin, Dynamically consistent optical flow estimation, 2007 IEEE 11th International Conference on Computer Vision, 2007.
DOI : 10.1109/ICCV.2007.4408889
URL : https://hal.archives-ouvertes.fr/hal-00596200

N. Papadakis, P. Héas, and E. Mémin, Image Assimilation for Motion Estimation of Atmospheric Layers with Shallow-Water Model, Proceedings of Asian Conference on Computer Vision, pp.864-874, 2007.
DOI : 10.1007/978-3-540-76386-4_82
URL : https://hal.archives-ouvertes.fr/hal-00596194

N. Papadakis and E. Mémin, Variational optimal control technique for the tracking of deformable objects, 2007 IEEE 11th International Conference on Computer Vision, 2007.
DOI : 10.1109/ICCV.2007.4408944
URL : https://hal.archives-ouvertes.fr/hal-00596203

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

M. Proesmans, L. Van-gool, E. Pauwels, and A. Oosterlinck, Determination of optical flow and its discontinuities using non-linear diffusion, Proceedings of European Conference on Computer Vision, pp.295-304, 1994.
DOI : 10.1007/BFb0028362

J. Sethian, Level Set Methods, 1996.

A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, 2005.
DOI : 10.1137/1.9780898717921

A. N. Tikhonov, Regularization of incorrectly posed problems, Sov. Math. Dokl, vol.4, pp.1624-1627, 1963.

J. Verwer and B. Sportisse, A note on operator splitting in a stiff linear case, 1998.
URL : https://hal.archives-ouvertes.fr/inria-00532710

J. Weickert, Anisotropic diffusion in image processing. ECMI Series. Teubner-Verlag, pp.3-519, 1998.

J. Weickert, Applications of nonlinear diffusion in image processing and computer vision, Acta Math. Univ. Comenianae. Proceeding of Algoritmy, pp.33-50, 2000.

J. Weickert and C. Schnörr, Variational optic flow computation with a spatio-temporal smoothness constraint, Journal of Mathematical Imaging and Vision, vol.14, issue.3, pp.245-255, 2001.
DOI : 10.1023/A:1011286029287

A. P. Witkin, SCALE-SPACE FILTERING, Proc. 8th Int. Joint Conf. Art. Intell. 105 -78153 Le Chesnay Cedex, pp.1019-1022, 1983.
DOI : 10.1016/B978-0-08-051581-6.50036-2