Stable regular critical points of the Mumford-Shah functional are local minimizers
Analysis of PDEs
2013-07-26 v1
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.
Keywords
Cite
@article{arxiv.1307.6730,
title = {Stable regular critical points of the Mumford-Shah functional are local minimizers},
author = {Marco Bonacini and Massimiliano Morini},
journal= {arXiv preprint arXiv:1307.6730},
year = {2013}
}