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Pré-Publication, Document De Travail Année : 2006

On a weighted total variation minimization problem

Myriam Comte
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Résumé

The present article is devoted to the study of a constrained weighted total variation minimization problem, which may be viewed as a relaxation of a generalized Cheeger problem and is motivated by landslide modelling. Using the fact that the set of minimizers is invariant by a wide class of monotone transformations, we prove that level sets of minimizers are generalized Cheeger sets and obtain qualitative properties of the minimizers: they are all bounded and all achieve their essential supremum on a set of positive measure.
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Dates et versions

hal-00117092 , version 1 (30-11-2006)

Identifiants

  • HAL Id : hal-00117092 , version 1

Citer

Guillaume Carlier, Myriam Comte. On a weighted total variation minimization problem. 2006. ⟨hal-00117092⟩
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