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

Vincent Duval (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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.

Mots clés: Total variation; cartoon-texture; image processing

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Vincent Duval. A comparative analysis of the TVL1 and the TV-G models. 2013. ⟨hal-00968885⟩