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

T. Corpetti, E. Mémin, and P. Pérez, Dense estimation of fluid flows, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.3, pp.365-380, 2002.
DOI : 10.1109/34.990137
URL : https://hal.archives-ouvertes.fr/hal-00329724

E. Deriaz and V. Perrier, Divergence-free and curl-free wavelets in two dimensions and three dimensions: application to turbulent flows, Journal of Turbulence, vol.319, issue.3, pp.1-37, 2006.
DOI : 10.1080/14685240500260547

K. Drifi and I. Herlin, Assimilation d'images dans un modèle réduit pour l'estimation du mouvement, 2011.

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

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

T. Isambert, I. Herlin, and J. Berroir, Fast and stable vector spline method for fluid flow estimation, ICIP, pp.505-508, 2007.

L. Dimet, F. Talagrand, and O. , Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects, Tellus A, vol.109, issue.2, pp.97-110, 1986.
DOI : 10.1111/j.1600-0870.1986.tb00459.x

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

D. Suter, Motion estimation and vector splines, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition CVPR-94, pp.939-942, 1994.
DOI : 10.1109/CVPR.1994.323929
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.4768

O. Titaud, A. Vidard, I. Souopgui, and F. L. 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

C. Zhu, R. Byrd, P. Lu, and J. Nocedal, L-BFGS-B: a limited memory FORTRAN code for solving bound constrained optimization problems, 1994.