1 - An approximation of the Mumford-Shah energy by a family of dicrete edge-preserving functionals.
G. Aubert and L. Blanc-Féraud and R. March. Nonlinear Analysis, 64: pages 1908-1930, 2006.
Keywords : Gamma Convergence, Finite Element, Segmentation.
@ARTICLE{laure-na05,
|
| author |
= |
{Aubert, G. and Blanc-Féraud, L. and March, R.}, |
| title |
= |
{An approximation of the Mumford-Shah energy by a family of dicrete edge-preserving functionals}, |
| year |
= |
{2006}, |
| journal |
= |
{Nonlinear Analysis}, |
| volume |
= |
{64}, |
| pages |
= |
{1908-1930}, |
| pdf |
= |
{ftp://ftp-sop.inria.fr/ariana/Articles/2006_laure-na05.pdf}, |
| keyword |
= |
{Gamma Convergence, Finite Element, Segmentation} |
| } |
Abstract :
We show the Gamma-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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