𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discrete approximation of the Mumford-Shah functional in dimension two

✍ Scribed by Chambolle, Antonin; Maso, Gianni Dal


Book ID
118020824
Publisher
EDP Sciences
Year
1999
Tongue
English
Weight
452 KB
Volume
33
Category
Article
ISSN
0764-583X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Finite difference approximation of the M
✍ Massimo Gobbino πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 333 KB

We study the pointwise convergence and the Ξ“-convergence of a family of nonlocal functionals defined in L 1 loc (R n ) to a local functional F (u) that depends on the gradient of u and on the set of discontinuity points of u. We apply this result to approximate a minimum problem introduced by Mumfor

An approximation of the Mumford–Shah ene
✍ Gilles Aubert; Laure Blanc-FΓ©raud; Riccardo March πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 225 KB

We show the -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 e