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