L. Berre and G. Desroziers, Filtering of Background Error Variances and Correlations by Local Spatial Averaging: A Review, Monthly Weather Review, vol.138, issue.10, pp.3693-3720, 2010.
DOI : 10.1175/2010MWR3111.1

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

V. Chabot, M. Nodet, N. Papadakis, and A. Vidard, Accounting for observation errors in image data assimilation, Tellus A, vol.124, issue.0, pp.4117-4136, 2015.
DOI : 10.1175/2009MWR2778.1
URL : https://hal.archives-ouvertes.fr/hal-00984508

R. James and . Purser, The filtering of meteorological fields, Journal of climate and applied meteorology, vol.26, issue.12, pp.1764-1769, 1987.

O. Titaud, A. Vidard, F. Souopgui, and . Dimet, Assimilation of image sequences in numerical models, Tellus A, vol.105, issue.C8, pp.30-47, 2010.
DOI : 10.1111/j.1600-0870.2009.00416.x
URL : https://hal.archives-ouvertes.fr/inria-00332815

T. Anthony, P. Weaver, and . Courtier, Correlation modelling on the sphere using a generalized diffusion equation. Q, J.R. Meteorol. Soc, vol.127, issue.575, pp.1815-1846, 2001.