M. A. Pereyra, N. Dobigeon, H. Batatia, and J. Tourneret, Segmentation of skin lesions in 2D and 3D ultrasound images using a spatially coherent generalized Rayleigh mixture model, IEEE Trans. Med. Imag, vol.31, issue.8, pp.1509-1520, 2012.

O. Bernard, J. , and D. Friboulet, Statistics of the radio-frequency signal based on K distribution with application to echocardiography, Ferroelectrics, Freq. Control, vol.53, issue.9, pp.1689-1694, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01919949

M. , A restoration framework for ultrasonic tissue characterization, Ferroelectrics, Freq. Control, vol.58, issue.11, pp.2344-2360, 2011.

J. A. Jensen, J. Mathorne, T. Gravesen, and B. Stage, Deconvolution of in-vivo ultrasound B-mode images, Ultrasonic Imag, vol.15, issue.2, pp.122-133, 1993.

J. Ng, R. Prager, N. Kingsbury, G. Treece, and A. Gee, Modeling ultrasound imaging as a linear, shift-variant system, Ferroelectrics, Freq. Control, vol.53, issue.3, pp.549-563, 2006.

N. Zhao, A. Basarab, D. Kouamé, and J. Tourneret, Joint segmentation and deconvolution of ultrasound images using a hierarchical Bayesian model based on generalized Gaussian priors, IEEE Trans. Image Process, vol.25, issue.8, pp.3736-3750, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01374064

J. A. Jensen, Deconvolution of ultrasound images, vol.14, pp.1-15, 1992.

O. Michailovich and A. Tannenbaum, Blind deconvolution of medical ultrasound images: A parametric inverse filtering approach, IEEE Trans. Image Process, vol.16, issue.12, pp.3005-3019, 2007.

H. Ayasso and A. Mohammad-djafari, Joint NDT image restoration and segmentation using Gauss-Markov-Potts prior models and variational Bayesian computation, IEEE Trans. Image Process, vol.19, issue.9, pp.2265-2277, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00494945

A. Pirayre, Y. Zheng, L. Duval, and J. Pesquet, HOGMep: Variational Bayes and higher-order graphical models applied to joint image recovery and segmentation, Proc. IEEE Int. Conf. Image Process. (ICIP, pp.3775-3779, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01862840

M. Pereyra, A survey of stochastic simulation and optimization methods in signal processing, IEEE J. Sel. Topics Signal Process, vol.10, issue.2, pp.224-241, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01312917

R. M. Neal, MCMC using Hamiltonian dynamics, Handbook of Markov Chain Monte Carlo, vol.2, pp.113-162, 2011.

C. P. Robert, V. Elvira, N. Tawn, and C. Wu, Accelerating MCMC algorithms, Wiley Interdisciplinary Rev.: Comput. Statist, vol.10, issue.5, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01961128

A. Durmus, E. Moulines, and M. Pereyra, Efficient Bayesian computation by proximal Markov chain Monte Carlo: When Langevin meets Moreau, SIAM J. Imag. Sci, vol.11, issue.1, pp.473-506, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01267115

M. Pereyra, Proximal Markov chain Monte Carlo algorithms, Statist. Comput, vol.26, issue.4, pp.745-760, 2016.

A. Schreck, G. Fort, S. L. Corff, and E. Moulines, A shrinkagethresholding Metropolis adjusted Langevin algorithm for Bayesian variable selection, IEEE J. Sel. Topics Signal Process, vol.10, issue.2, pp.366-375, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00921130

H. H. Bauschke and P. L. Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01517477

P. L. Combettes and J. Pesquet, Proximal splitting methods in signal processing, Fixed-point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00643807

A. M. Stuart, J. Voss, and P. Wilberg, Conditional path sampling of SDEs and the Langevin MCMC method, Commun. Math. Sci, vol.2, issue.4, pp.685-697, 2004.

E. Chouzenoux, J. Pesquet, and A. Repetti, Variable metric forwardbackward algorithm for minimizing the sum of a differentiable function and a convex function, J. Optim. Theory Appl, vol.162, issue.1, pp.107-132, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00789970

P. L. Combettes, D. D?ng, and B. C. V?, Proximity for sums of composite functions, J. Math. Anal. Appl, vol.380, issue.2, pp.680-688, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00643804

Y. Marnissi, E. Chouzenoux, A. Benazza-benyahia, and J. Pesquet, Majorize-minimize adapted Metropolis-Hastings algorithm. Application to multichannel image recovery, Proc. 22nd European Signal Processing Conference (EUSIPCO), pp.1332-1336, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01909153

M. Corbineau, D. Kouamé, E. Chouzenoux, J. Tourneret, and J. Pesquet, Preconditioned P-ULA for joint deconvolution-segmentation of ultrasound images -Extended version, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02073283

G. O. Roberts and O. Stramer, Langevin diffusions and Metropolis-Hastings algorithms, Methodology Comput. Appl. Probability, vol.4, issue.4, pp.337-357, 2002.

E. D. Schifano, R. L. Strawderman, and M. T. Wells, Majorizationminimization algorithms for nonsmoothly penalized objective functions, Electron. J. Statist, vol.4, pp.1258-1299, 2010.

C. Chaux, P. L. Combettes, J. Pesquet, and V. R. Wajs, A variational formulation for frame-based inverse problems, Inverse Problems, vol.23, issue.4, pp.1495-1518, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00621883

J. A. Jensen, Simulation of advanced ultrasound systems using Field II, Proc. 2nd IEEE Int. Symp. Biomed. Imag.: Nano to Macro, pp.636-639, 2004.

N. Otsu, A threshold selection method from gray-level histograms, IEEE Trans. Syst., Man, Cybernet, vol.9, issue.1, pp.62-66, 1979.

S. Mallat, A Wavelet Tour of Signal Processing, 1999.

X. Cai, R. Chan, M. Nikolova, and T. Zeng, A three-stage approach for segmenting degraded color images: Smoothing, lifting and thresholding (SLaT), J. Scientific Comput, vol.72, issue.3, pp.1313-1332, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01158169

S. Becker and J. Fadili, A quasi-Newton proximal splitting method, Proc. 25th Int. Conf. Neural Inf. Process. Syst, vol.2, pp.2618-2626, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00710900

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, Image quality assessment: From error visibility to structural similarity, IEEE Trans. Image Process, vol.13, issue.4, pp.600-612, 2004.

S. Krishnan, K. W. Rigby, and M. , Improved estimation of phase aberration profiles, Ferroelectrics, Freq. Control, vol.44, issue.3, pp.701-713, 1997.