An anisotropic Mumford Shah model

David Vicente (1)

1 Karl-Franzens-Universität Graz

A variational model is introduced for the segmentation problem of thin structures, like tubes or thin plates, in an image. The energy is based on the Mumford-Shah model with a surfacic term perturbed by a Finsler metric. The formulation in the special space of functions with bounded variations is given and, in order to get an energy more adapted for numerics, a result of Γ-convergence is proved.

Domaines: Optimisation et contrôle [math.OC]

David Vicente. An anisotropic Mumford Shah model. Journal of Mathematical Analysis and Applications, 2017, 447, pp.181 - 205. ⟨10.1016/j.jmaa.2016.10.008⟩. ⟨hal-01393765⟩