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

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Date
2014
Link to item file
http://hal.archives-ouvertes.fr/hal-00968885
Dewey
Traitement du signal
Sujet
image processing; cartoon-texture; Total variation
URI
https://basepub.dauphine.fr/handle/123456789/13053
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Author
Duval, Vincent
Type
Rapport
Item number of pages
26
Abstract (EN)
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.