D. Béréziat and I. Herlin, Solving ill-posed Image Processing problems using Data Assimilation, Numerical Algorithms, vol.14, issue.7, pp.219-252, 2011.
DOI : 10.1007/s11075-010-9383-z

L. Evans, Partial Differential Equations, volume 19 of Graduate studies in mathematics, 2010.

D. Heitz, É. Mémin, and C. Schnörr, Variational fluid flow measurements from image sequences: synopsis and perspectives, Experiments in Fluids, vol.28, issue.4, pp.369-393, 2010.
DOI : 10.1007/s00348-009-0778-3

URL : https://hal.archives-ouvertes.fr/hal-00456162

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

N. Papadakis, T. Corpetti, and E. Mémin, Dynamically consistent optical flow estimation, 2007 IEEE 11th International Conference on Computer Vision, pp.1-7, 2007.
DOI : 10.1109/ICCV.2007.4408889

URL : https://hal.archives-ouvertes.fr/hal-00596200

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

O. Titaud, A. Vidard, I. Souopgui, and F. Dimet, Assimilation of image sequences in numerical models, Tellus A: Dynamic Meteorology and Oceanography, vol.105, issue.8, pp.30-47, 2010.
DOI : 10.1111/j.1600-0870.2009.00416.x

URL : https://hal.archives-ouvertes.fr/inria-00332815