Approximation result for a Mumford-Shah functional adapted to a segmentation problem

David Vicente (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We consider a segmentation problem of image close to a binary one. After introducing a Mumford Shah energy like, we perform an approximation of this model. We prove a Γ-convergence result and show why this approximation is suitable for numerics.

Mots clés: Binary Mumford-Shah Functional; Γ-convergence; 2D and 3D Segmentation

Domaines: Optimisation et contrôle [math.OC]

David Vicente. Approximation result for a Mumford-Shah functional adapted to a segmentation problem. 2014. ⟨hal-01087205v2⟩