Optimisation multicritère -une approche par partage des variables, Revue Africaine en Informatique et Mathématiques Appliquées (ARIMA), pp.77-89, 2010. ,
Existence theory for a new class of variational problems Archive for Rational Mechanics and Analysis, pp.291-322, 1990. ,
Approximation of functional depending on jumps by elliptic functional via t-convergence, Communications on Pure and Applied Mathematics, vol.17, issue.8, pp.999-1036, 1990. ,
DOI : 10.1002/cpa.3160430805
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations, Applied Mathematical Sciences, vol.147, 2006. ,
Relaxation techniques and asynchronous algorithms for on-line computation of non-cooperative equilibria, Journal of Economic Dynamics and Control, vol.11, issue.4, pp.531-549, 1987. ,
DOI : 10.1016/S0165-1889(87)80006-4
Image segmentation with a finite element method, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.2, pp.229-244, 1999. ,
DOI : 10.1051/m2an:1999114
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional, Numerische Mathematik, vol.85, issue.4, pp.609-646, 2000. ,
DOI : 10.1007/PL00005394
Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.61-79, 1997. ,
DOI : 10.1109/ICCV.1995.466871
Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations, SIAM Journal on Applied Mathematics, vol.55, issue.3, pp.827-863, 1995. ,
DOI : 10.1137/S0036139993257132
An introduction to total variation for image analysis, Theoretical Foundations and Numerical Methods for Sparse Recovery of Radon Series on Computational and Applied Mathematics, pp.263-340, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00437581
Discrete approximation of the Mumford-Shah functional in dimension two, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.4, pp.651-672, 1999. ,
DOI : 10.1051/m2an:1999156
Image Processing and Analysis: variational, PDE, wavelet, and stochastic methods, 2005. ,
DOI : 10.1137/1.9780898717877
Measure Theory and Fine Properties of Functions, Studies in Advanced Mathematics, 1992. ,
Game Theory for Applied Economists, 1992. ,
Finite difference approximation of the Mumford-Shah functional, Communications on Pure and Applied Mathematics, vol.51, issue.2, pp.197-228, 1998. ,
DOI : 10.1002/(SICI)1097-0312(199802)51:2<197::AID-CPA3>3.0.CO;2-6
Multidisciplinary topology optimization solved as a Nash game, International Journal for Numerical Methods in Engineering, vol.61, issue.7, pp.949-963, 2004. ,
DOI : 10.1002/nme.1093
Improved Mumford-Shah Functional for Coupled Edge-Preserving Regularization and Image Segmentation, EURASIP Journal on Advances in Signal Processing, vol.43, issue.8, pp.1-9, 2006. ,
DOI : 10.1155/ASP/2006/37129
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
Distributed algorithms for the computation of noncooperative equilibria, Automatica, vol.23, issue.4, pp.523-533, 1987. ,
DOI : 10.1016/0005-1098(87)90081-1
Shape modeling with front propagation: a level set approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.17, issue.2, pp.158-175, 1995. ,
DOI : 10.1109/34.368173
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.6656
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
URL : http://nrs.harvard.edu/urn-3:HUL.InstRepos:3637121
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
Scale-space and edge detection using anisotropic diffusion, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.7, pp.629-639, 1990. ,
DOI : 10.1109/34.56205
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.2553
An algorithm for minimizing the Mumford-Shah functional, 2009 IEEE 12th International Conference on Computer Vision, 2009. ,
DOI : 10.1109/ICCV.2009.5459348
Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.259-268, 1992. ,
DOI : 10.1016/0167-2789(92)90242-F
Geometric Partial Differential Equations and Image Analysis, 2001. ,
DOI : 10.1017/CBO9780511626319
On relaxation algorithms in computation of noncooperative equilibria, IEEE Transactions on Automatic Control, vol.39, issue.6, pp.1263-1267, 1994. ,
DOI : 10.1109/9.293193
A multiphase level set framework for image segmentation using the Mumford and Shah model, International Journal of Computer Vision, vol.50, issue.3, pp.271-293, 2002. ,
DOI : 10.1023/A:1020874308076
Fast segmentation for the piecewise smooth Mumford-Shah functional, International Journal of Signal Processing, vol.2, pp.245-250, 2006. ,