| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844672 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 23 Pages |
Abstract
We show the ΓΓ-convergence of a family of discrete functionals to the Mumford and Shah image segmentation functional. The functionals of the family are constructed by modifying the elliptic approximating functionals proposed by Ambrosio and Tortorelli. The quadratic term of the energy related to the edges of the segmentation is replaced by a nonconvex functional.
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Authors
Gilles Aubert, Laure Blanc-Féraud, Riccardo March,