| Title | Stable regular critical points of the Mumford-Shah functional are local minimizers |
| Publication Type | Journal Article |
| Year of Publication | 2015 |
| Authors | Bonacini, M, Morini, M |
| Journal | Annales de l'Institut Henri Poincare (C) Non Linear Analysis |
| Volume | 32 |
| Issue | 3 |
| Start Page | 533 |
| Pagination | 533-570 |
| Keywords | Mumford-Shah functional |
| Abstract | In this paper it is shown that any regular critical point of the Mumford–Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the $L^1$-topology. A global minimality result in small tubular neighborhoods of the discontinuity set is also established. |
| URL | https://www.sciencedirect.com/science/article/pii/S0294144914000171 |
| DOI | 10.1016/j.anihpc.2014.01.006 |
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