𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-local approximation of the Mumford-Shah functional

✍ Scribed by A. Braides; G. Dal Maso


Publisher
Springer
Year
1997
Tongue
English
Weight
251 KB
Volume
5
Category
Article
ISSN
0944-2669

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Finite difference approximation of the M
✍ Massimo Gobbino 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 333 KB

We study the pointwise convergence and the Γ-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

Local calibrations for minimizers of the
✍ Maria Giovanna Mora; Massimiliano Morini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 360 KB

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

An approximation of the Mumford–Shah ene
✍ Gilles Aubert; Laure Blanc-Féraud; Riccardo March 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 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