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UID:5504@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20130516T140000
DTEND;TZID=Europe/Paris:20130516T150000
DTSTAMP:20241029T171015Z
URL:https://www.i2m.univ-amu.fr/evenements/l-moisan-map5-the-posterior-mea
 n-of-the-total-variation-model/
SUMMARY: (...): L. Moisan (MAP5): The Posterior Mean of the Total Variation
  model
DESCRIPTION:: The Posterior Mean of the Total Variation model\nBy Lionel Mo
 isan\\\, MAP5.\n\nAbstract:\nThe Total Variation image (or signal) denoisi
 ng model is a variational approach\nthat can be interpreted\\\, in a Bayes
 ian framework\\\, as a search for the maximum\npoint of the posterior dens
 ity (Maximum A Posteriori estimator). This maximization\naspect is partly 
 responsible for a restoration bias called ``staircasing effect''\\\,\nthat
  is\\\, the outbreak of quasi-constant regions separated by sharp edges in
  the\nintensity map. In this talk\\\, we discuss a variant of this model t
 hat considers\nthe expectation of the posterior distribution instead of it
 s maximum point.\nWe demonstrate in particular\\\, both theoretically and 
 numerically\\\, that images\ndenoised with this model do not suffer from t
 he staircasing effect.
CATEGORIES:Séminaire,Signal et Apprentissage
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DTSTART:20130331T030000
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