L. Ambrosio, N. Fusco, and D. Pallara, Functions of bounded variation and free discontinuity problems, Oxford mathematical monographs, 2000.

H. Attouch, G. Buttazzo, and G. Michaille, Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization, MPS-SIAM series on optimization, 2006.
DOI : 10.1137/1.9781611973488

M. Bergounioux and L. Piffet, A second-order model for image denoising , Set-Valued Analysis and Variational Analysis, to appear, DOI : 10, 2011.

M. Bergounioux, On Poincaré-Wirtinger inequalities in spaces of functions of bounded variation, 2010.

K. Bredies, K. Kunisch, and T. Pock, Total Generalized Variation, SIAM Journal on Imaging Sciences, vol.3, issue.3, 2009.
DOI : 10.1137/090769521

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.378.6330

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

F. Demengel, FonctionsàFonctionsà hessien borné, Annales de l'institut Fourier, pp.155-190, 1984.
DOI : 10.5802/aif.969

URL : http://archive.numdam.org/article/AIF_1984__34_2_155_0.pdf

R. Echegut and L. Piffet, A variational model for image texture identification, Recent Advances in Optimization and its Applications in, 2010.

L. C. Evans and R. Gariepy, Measure theory and fine properties of functions, 1992.

L. Piffet, Modèles variationnels du second ordre pour l'extraction de textures 2D, 2010.

P. Weiss, L. Blanc-fraud, and G. Aubert, Efficient Schemes for Total Variation Minimization Under Constraints in Image Processing, SIAM Journal on Scientific Computing, vol.31, issue.3, pp.2047-2080, 2009.
DOI : 10.1137/070696143

URL : https://hal.archives-ouvertes.fr/inria-00166096