D. L. Donoho, Compressed sensing, IEEE Transactions on Information Theory, vol.52, issue.4, 2006.
DOI : 10.1109/TIT.2006.871582

URL : https://hal.archives-ouvertes.fr/inria-00369486

B. E. Usevitch, A tutorial on modern lossy wavelet image compression: foundations of JPEG 2000, IEEE Signal Processing Magazine, vol.18, issue.5, pp.22-35, 2000.
DOI : 10.1109/79.952803

G. V. Welland, Beyond wavelets, Studies in computational Mathematics, vol.10, 2003.

D. L. Donoho, M. Elad, and V. N. Temlyakov, Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Transactions on Information Theory, vol.52, issue.1, pp.6-18, 2006.
DOI : 10.1109/TIT.2005.860430

S. Mallat and Z. Zhang, Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3397-3415, 1993.
DOI : 10.1109/78.258082

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.335.5769

Y. Pati, R. Rezaiifar, and P. Krishnaprasad, Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers, 1993.
DOI : 10.1109/ACSSC.1993.342465

H. G. Feichtinger, A. Turk, and T. Strohmer, <title>Hierarchical parallel matching pursuit</title>, Image Reconstruction and Restoration, pp.222-232, 1994.
DOI : 10.1117/12.188061

D. L. Donoho, Y. Tsaig, I. Drori, and J. L. Starck, Sparse Solution of Underdetermined Systems of Linear Equations by Stagewise Orthogonal Matching Pursuit, IEEE Transactions on Information Theory, vol.58, issue.2, 2006.
DOI : 10.1109/TIT.2011.2173241

S. S. Chen, D. L. Donoho, and M. A. Saunders, Atomic Decomposition by Basis Pursuit, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.33-61, 1999.
DOI : 10.1137/S1064827596304010

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.7694

J. A. Tropp, Greed is Good: Algorithmic Results for Sparse Approximation, IEEE Transactions on Information Theory, vol.50, issue.10, pp.2231-2242, 2004.
DOI : 10.1109/TIT.2004.834793

R. Gribonval and M. Nielsen, Beyond sparsity: Recovering structured representations by ${\ell}^1$ minimization and greedy algorithms, Advances in Computational Mathematics, vol.49, issue.6, pp.23-41, 2008.
DOI : 10.1007/s10444-005-9009-5

URL : https://hal.archives-ouvertes.fr/inria-00544767

S. G. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.7, pp.674-693, 1989.
DOI : 10.1109/34.192463

G. Strang, Wavelets and Dilation Equations: A Brief Introduction, SIAM Review, vol.31, issue.4, pp.614-627, 1989.
DOI : 10.1137/1031128

P. H. Van-cittert, Zum Einflu?? der Spaltbreite auf die Intensit??tsverteilung in Spektrallinien. II, Zeitschrift f??r Physik, vol.69, issue.5-6, p.298, 1931.
DOI : 10.1007/BF01391351

M. J. Powell, Approximation theory and methods, 1981.

A. Bijaoui, Fusion images and Analysis of multiband astronomical images, Astronomical Data Analysis IV, C. Surace, vol.18, 2006.