✦ LIBER ✦
An approximation of the Mumford–Shah energy by a family of discrete edge-preserving functionals
✍ Scribed by Gilles Aubert; Laure Blanc-Féraud; Riccardo March
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 225 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
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 edges of the segmentation is replaced by a nonconvex functional.