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

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

M. Jung, G. Peyré, and L. D. Cohen, Texture Segmentation via Non-local Non-parametric Active Contours, International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, pp.74-88, 2011.
DOI : 10.1006/jvci.1999.0442
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.468.5137

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

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

C. L. Benhamou, S. Poupon, E. Lespessailles, S. Loiseau, R. Jennane et al., Fractal Analysis of Radiographic Trabecular Bone Texture and Bone Mineral Density: Two Complementary Parameters Related to Osteoporotic Fractures, Journal of Bone and Mineral Research, vol.8, issue.4, pp.697-704, 2001.
DOI : 10.1359/jbmr.2001.16.4.697
URL : https://hal.archives-ouvertes.fr/hal-00768782

P. Kestener, J. Lina, P. Saint-jean, and A. Arneodo, WAVELET-BASED MULTIFRACTAL FORMALISM TO ASSIST IN DIAGNOSIS IN DIGITIZED MAMMOGRAMS, Image Analysis & Stereology, vol.20, issue.3, pp.169-175, 2004.
DOI : 10.5566/ias.v20.p169-174

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

N. Mallick, P. P. Cortet, S. Santucci, S. G. Roux, and L. Vanel, Discrepancy between Subcritical and Fast Rupture Roughness: A Cumulant Analysis, Physical Review Letters, vol.98, issue.25, p.255502, 2007.
DOI : 10.1103/PhysRevLett.98.255502
URL : https://hal.archives-ouvertes.fr/ensl-00156792

S. G. Roux, A. Arneodo, and N. Decoster, A wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure, The European Physical Journal B, vol.15, issue.4, pp.765-786, 2000.
DOI : 10.1007/s100510051180

J. L. Véhel, P. Mignot, and J. Berroir, Multifractals, texture and image analysis, Proc. of Comp. Vis. Pattern Recognition, pp.661-664, 1992.

B. Pesquet-popescu and J. L. Vehel, Stochastic fractal models for image processing, IEEE Signal Processing Magazine, vol.19, issue.5, pp.48-62, 2002.
DOI : 10.1109/MSP.2002.1028352
URL : https://hal.archives-ouvertes.fr/inria-00581030

S. Jaffard, Wavelet techniques in multifractal analysis, Fractal Geometry and Applications: A Jubilee of Beno??tBeno??t Mandelbrot Proceedings of Symposia in Pure Mathematics, M. Lapidus and M. van Frankenhuijsen, pp.91-152, 2004.
DOI : 10.1090/pspum/072.2/2112122

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.

P. Gonçalvès and P. Abry, Multiple window and local scaling exponent estimation, Proc. Int. Conf. Acoust. Speech Signal Process, pp.3433-3436, 1997.

A. Benassi, S. Cohen, and J. Istas, On roughness indices for fractional fields, Bernoulli, vol.10, issue.2, pp.357-373, 1968.
DOI : 10.3150/bj/1082380223

A. Ayache, S. Cohen, and J. L. Vehel, The covariance structure of multifractional Brownian motion, with application to long range dependence, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), pp.3810-3813, 2000.
DOI : 10.1109/ICASSP.2000.860233
URL : https://hal.archives-ouvertes.fr/inria-00581032

M. Kass, A. Witkin, and D. Terzopoulos, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1988.
DOI : 10.1007/BF00133570
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.5318

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

V. Caselles, R. Kimmel, and G. Sapiro, Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.694-699, 1995.
DOI : 10.1109/ICCV.1995.466871
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.2196

S. Kichenassamy, A. Kumar, P. J. Olver, A. Tannenbaum, and A. J. Yezzi, Gradient flows and geometric active contour models, Proceedings of IEEE International Conference on Computer Vision, pp.810-815, 1995.
DOI : 10.1109/ICCV.1995.466855
URL : https://hal.archives-ouvertes.fr/hal-00002665

T. F. Chan and L. A. Vese, Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001.
DOI : 10.1109/83.902291

C. Couprie, L. Grady, L. Najman, and H. Talbot, Power Watershed: A Unifying Graph-Based Optimization Framework, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.7, pp.1384-1399, 2011.
DOI : 10.1109/TPAMI.2010.200

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

T. Pock, A. Chambolle, D. Cremers, and B. Horst, A convex relaxation approach for computing minimal partitions, 2009 IEEE Conference on Computer Vision and Pattern Recognition, p.8, 2009.
DOI : 10.1109/CVPR.2009.5206604

S. Hiltunen, J. Pesquet, and B. Pesquet-popescu, Comparison of two proximal splitting algorithms for solving multilabel disparity estimation problems, Proc. Eur. Sig. and Image Proc. Conference, p.5, 2012.

K. Ni, X. Bresson, T. F. Chan, and S. Esedoglu, Local Histogram Based Segmentation Using the Wasserstein Distance, International Journal of Computer Vision, vol.18, issue.9, pp.97-111, 2009.
DOI : 10.1007/s11263-009-0234-0

S. Mallat, A wavelet tour of signal processing, 1997.

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

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