N. Ahmed, T. Natarajan, and K. R. Rao, Discrete Cosine Transform, IEEE Transactions on Computers, vol.23, issue.1, pp.90-93, 1974.
DOI : 10.1109/T-C.1974.223784

S. Mallat, A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way, 2008.

J. 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

R. Rubinstein, A. M. Bruckstein, and M. Elad, Dictionaries for Sparse Representation Modeling, Proceedings of the IEEE, pp.1045-1057, 2010.
DOI : 10.1109/JPROC.2010.2040551

URL : https://hal.archives-ouvertes.fr/inria-00565811

K. Engan, S. O. Aase, and J. H. Husoy, Method of optimal directions for frame design, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258), pp.2443-2446, 1999.
DOI : 10.1109/ICASSP.1999.760624

M. Aharon, M. Elad, and A. Bruckstein, $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation, IEEE Transactions on Signal Processing, vol.54, issue.11, pp.4311-4322, 2006.
DOI : 10.1109/TSP.2006.881199

J. Mairal, F. Bach, J. Ponce, and G. Sapiro, Online dictionary learning for sparse coding, Proceedings of the 26th Annual International Conference on Machine Learning, ICML '09, pp.689-696, 2009.
DOI : 10.1145/1553374.1553463

URL : http://www.ima.umn.edu/preprints/apr2009/2249.pdf

S. Hawe, M. Seibert, and M. Kleinsteuber, Separable Dictionary Learning, 2013 IEEE Conference on Computer Vision and Pattern Recognition, pp.438-445, 2013.
DOI : 10.1109/CVPR.2013.63

URL : http://arxiv.org/pdf/1303.5244

C. F. Van-loan and N. Pitsianis, Approximation with kronecker products, " in Linear algebra for large scale and real-time applications, pp.293-314, 1993.

B. Recht, M. Fazel, and P. A. Parrilo, Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization, SIAM Review, vol.52, issue.3, pp.471-501, 2010.
DOI : 10.1137/070697835

M. Aharon and M. Elad, Sparse and Redundant Modeling of Image Content Using an Image-Signature-Dictionary, SIAM Journal on Imaging Sciences, vol.1, issue.3, pp.228-247, 2008.
DOI : 10.1137/07070156X

R. Rubinstein, M. Zibulevsky, and M. Elad, Double Sparsity: Learning Sparse Dictionaries for Sparse Signal Approximation, IEEE Transactions on Signal Processing, vol.58, issue.3, pp.1553-1564, 2010.
DOI : 10.1109/TSP.2009.2036477

URL : http://www.cs.technion.ac.il/~elad/publications/journals/2008/SKSVD_TSP.pdf

M. Yaghoobi and M. E. Davies, Compressible dictionary learning for fast sparse approximations, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing, pp.662-665, 2009.
DOI : 10.1109/SSP.2009.5278490

URL : https://hal.archives-ouvertes.fr/hal-00733231

J. Sulam, B. Ophir, M. Zibulevsky, and M. Elad, Trainlets: Dictionary Learning in High Dimensions, IEEE Transactions on Signal Processing, vol.64, issue.12, pp.3180-3193, 2016.
DOI : 10.1109/TSP.2016.2540599

URL : http://arxiv.org/pdf/1602.00212

L. L. Magoarou and R. Gribonval, Flexible Multilayer Sparse Approximations of Matrices and Applications, IEEE Journal of Selected Topics in Signal Processing, vol.10, issue.4, pp.688-700, 2016.
DOI : 10.1109/JSTSP.2016.2543461

URL : https://hal.archives-ouvertes.fr/hal-01167948

O. Chabiron, F. Malgouyres, J. Tourneret, and N. Dobigeon, Toward Fast Transform Learning, International Journal of Computer Vision, vol.60, issue.12, pp.195-216, 2015.
DOI : 10.1109/TSP.2012.2218241

URL : https://hal.archives-ouvertes.fr/hal-01281930

Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers, pp.40-44, 1993.
DOI : 10.1109/ACSSC.1993.342465

URL : http://www.isr.umd.edu/~krishna/images/pati_reza_psk.pdf

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers, Foundations and Trends?? in Machine Learning, vol.3, issue.1, pp.1-122, 2011.
DOI : 10.1561/2200000016

J. Cai, E. J. Candès, and Z. Shen, A Singular Value Thresholding Algorithm for Matrix Completion, SIAM Journal on Optimization, vol.20, issue.4, pp.1956-1982, 2010.
DOI : 10.1137/080738970

M. Elad and M. Aharon, Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries, IEEE Transactions on Image Processing, vol.15, issue.12, pp.3736-3745, 2006.
DOI : 10.1109/TIP.2006.881969

URL : http://www.cs.technion.ac.il/~elad/publications/journals/2005/KSVD_Denoising_IEEE_TIP.pdf

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

URL : http://ie.technion.ac.il/%7Ebecka/papers/finalicassp2009.pdf