16 Mai 2013 adminFrumam – L. Moisan (MAP5) : The Posterior Mean of the Total Variation modelCarte non disponible Date/heure Date(s) - 16/05/201314 h 00 min - 15 h 00 min Catégories Pas de Catégories The Posterior Mean of the Total Variation model By Lionel Moisan, MAP5. Abstract: The Total Variation image (or signal) denoising model is a variational approach that can be interpreted, in a Bayesian framework, as a search for the maximum point of the posterior density (Maximum A Posteriori estimator). This maximization aspect is partly responsible for a restoration bias called “staircasing effect”, that is, the outbreak of quasi-constant regions separated by sharp edges in the intensity map. In this talk, we discuss a variant of this model that considers the expectation of the posterior distribution instead of its maximum point. We demonstrate in particular, both theoretically and numerically, that images denoised with this model do not suffer from the staircasing effect.