A. Benassi, S. Jaffard, and D. Roux, Gaussian processes and pseudo-differential elliptic operators, Rev. mat. Iberoamericana, vol.8, issue.1, pp.19-89, 1997.

T. Chan, S. Esedoglu, and M. Nikolova, Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models, SIAM Journal on Applied Mathematics, vol.66, issue.5, pp.1632-1648, 2006.
DOI : 10.1137/040615286

D. Cremers, T. Pock, K. Kolev, and A. Chambolle, Convex relaxation techniques for segmentation, stereo and multiview reconstruction, Markov Random Fields for Vision and Image Processing, 2011.

P. Gonçalvès and P. Abry, Multiple window and local scaling exponent estimation, IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3433-3436, 1997.

R. M. Haralick, Statistical and structural approaches to texture, Proc. of the IEEE, pp.786-804, 1979.
DOI : 10.1109/PROC.1979.11328

S. Hiltunen, J. Pesquet, and B. Pesquet-popescu, Comparison of two proximal splitting algorithms for solving multilabel disparity estimation problems, Proc. Eur

S. Jaffard, Wavelet techniques in multifractal analysis, Proceedings of Symposia in Pure Mathematics, pp.91-152, 2004.
DOI : 10.1090/pspum/072.2/2112122

M. Jung, G. Peyré, and L. D. Cohen, Texture Segmentation via Non-local Non-parametric Active Contours, Proc. EMMCVPR 2011, pp.74-88, 2011.
DOI : 10.1006/jvci.1999.0442

L. M. Kaplan, Extended fractal analysis for texture classification and segmentation, IEEE Transactions on Image Processing, vol.8, issue.11, pp.142-150, 1999.
DOI : 10.1109/83.799885

A. Laine and J. Fan, Frame representations for texture segmentation, IEEE Transactions on Image Processing, vol.5, issue.5, pp.771-780, 1996.
DOI : 10.1109/83.499915

R. Lopes and N. Betrouni, Fractal and multifractal analysis: A review, Medical Image Analysis, vol.13, issue.4, pp.634-649, 2009.
DOI : 10.1016/j.media.2009.05.003

D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989.
DOI : 10.1002/cpa.3160420503

J. Pesquet and N. Pustelnik, A parallel inertial proximal optimization method, Pac. J. Optim, vol.8, issue.2, pp.273-305, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00790702

B. Pesquet-popescu and J. L. Vehel, Stochastic fractal models for image processing, Proc. of the IEEE, pp.48-62, 2002.
DOI : 10.1109/MSP.2002.1028352

URL : https://hal.archives-ouvertes.fr/inria-00581030

N. Pustelnik, H. Wendt, and P. Abry, TLocal regularity for texture segmentation : combining wavelet leaders and proximal minimization, IEEE International Conference on Acoustics, Speech and Signal Processing, 2013.

M. Unser, Texture classification and segmentation using wavelet frames, IEEE Transactions on Image Processing, vol.4, issue.11, pp.1549-1560, 1995.
DOI : 10.1109/83.469936

H. Wendt, P. Abry, and S. Jaffard, Bootstrap for Empirical Multifractal Analysis, IEEE Signal Processing Magazine, vol.24, issue.4, pp.38-48, 2007.
DOI : 10.1109/MSP.2007.4286563