P. L. Combettes and V. R. Wajs, Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005.
DOI : 10.1137/050626090
URL : https://hal.archives-ouvertes.fr/hal-00017649

J. M. Bioucas-dias and M. A. Figueiredo, A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration, IEEE Transactions on Image Processing, vol.16, issue.12, pp.2992-3004, 2007.
DOI : 10.1109/TIP.2007.909319

A. Beck and M. Teboulle, A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, pp.183-202, 2009.
DOI : 10.1137/080716542

Y. E. Nesterov, Primal-dual subgradient methods for convex problems, Mathematical Programming, vol.8, issue.1, pp.221-259, 2009.
DOI : 10.1007/s10107-007-0149-x

D. L. Donoho and X. Huo, Uncertainty principles and ideal atomic decomposition, IEEE Transactions on Information Theory, vol.47, issue.7, pp.2845-2862, 2001.
DOI : 10.1109/18.959265

E. J. Candès, J. Romberg, and T. Tao, Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information, IEEE Transactions on Information Theory, vol.52, issue.2, pp.489-509, 2006.
DOI : 10.1109/TIT.2005.862083

J. Fuchs, On Sparse Representations in Arbitrary Redundant Bases, IEEE Transactions on Information Theory, vol.50, issue.6, pp.1341-1344, 2004.
DOI : 10.1109/TIT.2004.828141

J. A. Tropp, Just relax: convex programming methods for identifying sparse signals in noise, IEEE Transactions on Information Theory, vol.52, issue.3, pp.1030-1051, 2006.
DOI : 10.1109/TIT.2005.864420

L. David and . Donoho, Neighborly polytopes and sparse solutions of underdetermined linear equations, Tech. Rep, 2004.

E. J. Candès and J. Romberg, Practical signal recovery from random projections, Wavelet Applications in Signal and Image Processing XI, Proc. SPIE, 2004.

D. Liang, H. F. Zhang, and L. Ying, Compressed-sensing Photoacoustic Imaging based on random optical illumination, International Journal of Functional Informatics and Personalised Medicine, vol.2, issue.4, pp.394-406, 2009.
DOI : 10.1504/IJFIPM.2009.030835

Y. Lu, X. Zhang, A. Douraghy, D. Stout, J. Tian et al., Source Reconstruction for Spectrally-resolved Bioluminescence Tomography with Sparse A priori Information, Optics Express, vol.17, issue.10, pp.8062-8080, 2009.
DOI : 10.1364/OE.17.008062

. Ch, G. Dossal, J. Peyré, and . Fadili, A numerical exploration of compressed sampling recovery, Linear Algebra and Appl, vol.432, issue.7, pp.1663-1679, 2010.