On a notion of unilateral slope for the Mumford-Shah functional
✍ Scribed by Gianni Dal Maso; Rodica Toader
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 238 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1021-9722
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Using a calibration method, we prove that, if w is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set , and the discontinuity set S w of w is a regular curve connecting two boundary points, then there exists a uniform neighbourhood U of S w
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