A comparative analysis of the TVL1 and the TV-G models

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Date
2014
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http://hal.archives-ouvertes.fr/hal-00968885
Indexation documentaire
Traitement du signal
Subject
image processing; cartoon-texture; Total variation
URI
https://basepub.dauphine.fr/handle/123456789/13053
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Auteur
Duval, Vincent
Type
Rapport
Nombre de pages du document
26
Résumé en anglais
In this paper, we analyze the fine properties of the minimizers of the TVL1 and the TV-G models used in image processing. We describe the solutions of TVL1 by means of elementary morphological operations, and we exhibit a strong constraint on the structure part and the texture part of the data which is neccessary to obtain exact decompositions using the TV-G model.