F. Dimet and O. Talagrand, Variational algorithms for analysis and assimilatoin of meteorological observations: theoretical aspects, pp.97-110, 1986.

J. Blum, F. Dimet, and I. Navon, Data Assimilation for Geophysical Fuilds, Handbook of Numerical Analysis, Special Volume on Computational Methods for the Ocean and the Atmosphere, pp.1-63, 2008.

I. Herlin, F. X. Le-dimet, E. Huot, and J. P. Berroir, Coupling models and data: which possibilities for remotely-sensed images?, Chapter e-Environement: progress and challenges, pp.365-383, 2004.

J. Ma, A. Antoniadis, and F. Dimet, Curvelet-Based Snake for Multiscale Detection and Tracking of Geophysical Fluids, IEEE Transactions on Geoscience and Remote Sensing, vol.44, issue.12, pp.3626-3638, 2006.
DOI : 10.1109/TGRS.2006.885017
URL : https://hal.archives-ouvertes.fr/hal-00171444

E. J. Candès and D. L. Donoho, Ridgelets: a key to higher-dimensional intermittency?, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1760, pp.2495-2509, 1999.
DOI : 10.1098/rsta.1999.0444

E. J. Candès and D. L. Donoho, Curvelets -a surprisingly effective nonadaptive representation for objects with edges, In Curves and Surface Fitting: Saint- Malo, pp.105-120, 1999.

E. J. Candès and D. L. Donoho, singularities, Communications on Pure and Applied Mathematics, vol.9, issue.7, pp.219-266, 2004.
DOI : 10.1002/cpa.10116

E. J. Candès, L. Demanet, D. L. Donoho, and L. Ying, Fast Discrete Curvelet Transforms, Multiscale Modeling & Simulation, vol.5, issue.3, pp.861-899, 2006.
DOI : 10.1137/05064182X

L. Ying, L. Demanet, and E. Candès, 3D discrete curvelet transform, Wavelets XI, 2005.
DOI : 10.1117/12.616205

J. L. Starck, E. J. Candès, and D. L. Donoho, The curvelet transform for image denoising, IEEE Transactions on Image Processing, vol.11, issue.6, pp.670-684, 2002.
DOI : 10.1109/TIP.2002.1014998

J. L. Starck, E. J. Candès, and D. L. Donoho, Astronomical image representation by the curvelet transform, Astronomy & Astrophysics, vol.398, issue.2, pp.785-800, 2003.
DOI : 10.1051/0004-6361:20021571

J. Ma and G. Plonka, Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion, IEEE Transactions on Image Processing, vol.16, issue.9, pp.2198-2206, 2007.
DOI : 10.1109/TIP.2007.902333

J. Ma, Curvelets for surface characterization, Applied Physics Letters, vol.90, issue.5, pp.1-3, 2007.
DOI : 10.1063/1.2437726

J. Ma and M. Fenn, Combined Complex Ridgelet Shrinkage and Total Variation Minimization, SIAM Journal on Scientific Computing, vol.28, issue.3, pp.984-1000, 2006.
DOI : 10.1137/05062737X

J. Ma and M. Y. Hussaini, Three-dimensional curvelets for coherent vortex analysis of turbulence, Applied Physics Letters, vol.91, issue.18, pp.1-3, 2007.
DOI : 10.1063/1.2802051

A. Antoniadis, Wavelet methods in statistics: some recent developments and their applications, Statistics Surveys, vol.1, issue.0, pp.16-55, 2007.
DOI : 10.1214/07-SS014
URL : https://hal.archives-ouvertes.fr/hal-00853883

A. Antoniadis and J. Fan, Regularization of Wavelet Approximations, Journal of the American Statistical Association, vol.96, issue.455, pp.96-939, 2001.
DOI : 10.1198/016214501753208942

S. Durand and J. Froment, Reconstruction of Wavelet Coefficients Using Total Variation Minimization, SIAM Journal on Scientific Computing, vol.24, issue.5, pp.1754-1767, 2003.
DOI : 10.1137/S1064827501397792
URL : https://hal.archives-ouvertes.fr/hal-00712152

L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.259-268, 1992.
DOI : 10.1016/0167-2789(92)90242-F

I. Daubechies, Ten lectures on wavelets, SIAM, 1992.

Y. Lu and M. N. Do, Multidimensional Directional Filter Banks and Surfacelets, IEEE Transactions on Image Processing, vol.16, issue.4, pp.918-931, 2007.
DOI : 10.1109/TIP.2007.891785

G. K. Korotaev, E. Huot, F. Dimet, I. Herlin, S. V. Stanichnya et al., Retrieving ocean surface current by 4-D variational assimilation of sea surface temperature images, Remote Sensing of Environment, vol.112, issue.4, pp.1464-1475, 2008.
DOI : 10.1016/j.rse.2007.04.020
URL : https://hal.archives-ouvertes.fr/hal-00283896

F. Dimet, I. Souopgui, O. Titaud, and A. Vidard, Assimilation of Images in Numerical Models in Geophysics, International Conference on Engineering Optimization EngOpt2008, pp.1-05, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00319972

F. Dimet, A. Antoniadis, J. Ma, I. Herlin, and E. Huot, Assimilation of Images In Geophysical Models, International Science and Technology for Space, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00608612

I. Herlin, E. Huot, J. Berroir, F. Dimet, and G. Korotaev, Estimation of a motien field on satellite images from a simplified ocean circulation model, ICIP International Conference on Image Processing, pp.1077-1080, 2006.

B. K. Horn and B. G. Schunck, Determining optical flow, AI, pp.185-203, 1981.

D. Auroux and J. Fehrenbach, Identification of velocity fields for geophysical fluids from a sequence of images, submitted to, Int. J. Computer Vision, 2008.

S. Mallat, A Wavelet Tour of Signal Processing, 1998.

S. Mallat and W. L. Hwang, Singularity detection and processing with wavelets, IEEE Transactions on Information Theory, vol.38, issue.2, pp.617-643, 1992.
DOI : 10.1109/18.119727

M. Farge, Wavelet transforms and their applications to turbulence Annual Review of Fluid Mechanics, pp.395-457, 1992.

M. Farge, G. Pellegrino, and K. Schneider, Coherent Vortex Extraction in 3D Turbulent Flows Using Orthogonal Wavelets, Physical Review Letters, vol.87, issue.5, p.54501, 2001.
DOI : 10.1103/PhysRevLett.87.054501

A. Turiel, J. Isern-fontanet, and E. Garcia-ladona, Wavelet Filtering to Extract Coherent Vortices from Altimetric Data, Journal of Atmospheric and Oceanic Technology, vol.24, issue.12, pp.2103-2119, 2007.
DOI : 10.1175/2007JTECHO434.1

J. Yano, M. Moncrieff, and X. Wu, Wavelet Analysis of Simulated Tropical Convective Cloud Systems. Part I: Basic Analysis, Journal of the Atmospheric Sciences, vol.58, issue.8, pp.850-867, 2001.
DOI : 10.1175/1520-0469(2001)058<0850:WAOSTC>2.0.CO;2

S. Chapa, V. Rao, and G. Prasad, Application of Wavelet Transform to Meteosat-Derived Cold Cloud Index Data over South America, Monthly Weather Review, vol.126, issue.9, pp.2466-2481, 1998.
DOI : 10.1175/1520-0493(1998)126<2466:AOWTTM>2.0.CO;2