Anisotropic Mumford-Shah Model and its approximation with Gamma-convergence

Abstract : A new 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 and it introduces as a new variable a continuous and anisotropic perturbation of the Hausdorff measure. A relaxed formulation in the special space of functions with bounded variations is given and the existence of a solution is established. In order to get an energy more adapted for numerics, an approximation with Γ-convergence and its complete proof are given.
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https://hal.archives-ouvertes.fr/hal-01132067
Contributor : David Vicente <>
Submitted on : Wednesday, November 4, 2015 - 10:04:32 AM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM
Long-term archiving on: Friday, February 5, 2016 - 10:23:44 AM

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David Vicente. Anisotropic Mumford-Shah Model and its approximation with Gamma-convergence. 2015. ⟨hal-01132067v3⟩

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