W. Ames, Numerical Methods for Partial Differential Equations, 1977.

D. Béréziat and I. Herlin, Solving ill-posed image processing problems using data assimilation. Numerical Algorithms, 2010.

D. Béréziat, I. Herlin, and L. Younes, A generalized optical flow constraint and its physical interpretation, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662), pp.487-492, 2000.
DOI : 10.1109/CVPR.2000.854890

T. Brox, A. Bruhn, N. Papenberg, and J. Weickert, High Accuracy Optical Flow Estimation Based on a Theory for Warping, ECCV, 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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.185.1651

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

T. Isambert, J. Berroir, and I. Herlin, A multiscale vector spline method for estimating the fluids motion on satellite images, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00264727

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, ACCV, pp.864-874, 2007.
DOI : 10.1007/978-3-540-76386-4_82
URL : https://hal.archives-ouvertes.fr/hal-00596194

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

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

V. Hólm and E. , Lectures notes on assimilation algorithms, European Centre for Medium-Range Weather Forecasts Reading, 2003.

R. Wildes and M. Amabile, Physically based fluid flow recovery from image sequences, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.969-975, 1997.
DOI : 10.1109/CVPR.1997.609445