M. Bergounioux, On Poincare-Wirtinger inequalities in spaces of functions of bounded variation, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00515451

A. Chambolle, An algorithm for total variation minimization and applications, Journal of Mathematical Imaging and Vision, vol.20, pp.89-97, 2004.

M. Holschneider, R. Kronland-martinet, J. Morlet, and P. Tchamitchian, A real time algorithm for signal analysis with the help of the wavelet transform, Wavelets, Time-Frequency Methods and Phase Space, pp.286-297, 1989.

A. Chambolle and P. L. Lions, Image recovery via total variation minimization and related problems Numerische Mathematik, Journal of Mathematical Imaging and Vision, pp.167-188, 1997.
DOI : 10.1007/s002110050258

T. Chan, S. Esedoglu, F. Park, and A. Yip, Total Variation Image Restoration: Overview and Recent Developments, 2004.
DOI : 10.1007/0-387-28831-7_2

C. Louchet, Variational and Bayesian models for image denoising: from total variation towards non-local means, 2008.
URL : https://hal.archives-ouvertes.fr/tel-00371438

I. Ekeland and R. Remam, Analyse convex et problemes variationnels, Etudes Mathematiques . Dunod, 1974.

. Jean-francois, Aujol and Antonin Chambolle Dual norms and image decomposition models, pp.85-104, 2005.

L. Piffet, Décomposition d'image par modèles variationnels -Débruitage et extraction de texture, 2010.

M. Bergounioux and M. P. Tran, A Second Order Model for 3D-Texture Extraction, Mathematical Image Processing. Springer proceedings in Mathematics, vol.5, 2011.
DOI : 10.1007/978-3-642-19604-1_2
URL : https://hal.archives-ouvertes.fr/hal-00530816

J. Starck, E. J. Candes, and L. David, Donoho The Curvelet transform for Image Denoising, IEEE Transactions on image processing, vol.11, issue.6, 2002.

S. Mallat, A wavelet tour of signal processing, 1998.

Y. Jin and E. Angelini, Andrew Laine Wavelets in medical image processing: denoising, sementation and registration

G. Steidl, J. Weickert, T. Brox, P. Mrzek, and M. Welk, On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs, SIAM Journal on Numerical Analysis, vol.42, issue.2, 2003.
DOI : 10.1137/S0036142903422429