J. Rakotondralambo, Gérard Michaille, R. Brouzet, William Puech
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Variational approximation of a constraint signal by a Mumford-Shah type energy functional
In this paper, the main objective is to establish an existence result of a variational model in image segmentation constrained by a given vector field. In the one dimensional case, we give a discrete version converging in a variational way to the continuous model. We finally describe the numerical analysis of this model with application in image segmentation.