Discrete approximation of the Mumford-Shah functional in dimension two
β 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
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π SIMILAR VOLUMES
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
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