A TOPOLOGICAL GRADIENT BASED MODEL FOR THE DETECTION OF FINE STRUCTURES IN 2D IMAGES

Gilles Aubert (1) , Audric Drogoul (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

In this paper we describe a new approach for the detection of fine structures in an image. This approach is based on the computation of the topological gradient associated to a cost function defined from a regularization of the data (possibly noisy). We get this approximation by solving a fourth order PDE. The study of the topological sensitivity is made both in the cases of a circular inclusion and a crack.

Mots clés: Calculus of variations; topological gradient; image segmentation.

Mots clés: image segmentation

Domaines: Analyse numérique [math.NA]

Gilles Aubert, Audric Drogoul. A TOPOLOGICAL GRADIENT BASED MODEL FOR THE DETECTION OF FINE STRUCTURES IN 2D IMAGES. 2014. ⟨hal-01016415v1⟩