Stable regular critical points of the Mumford-Shah functional are local minimizers

Marco Bonacini; Massimiliano Morini

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arXiv · 1307.6730

Stable regular critical points of the Mumford-Shah functional are local minimizers

Marco Bonacini·Massimiliano Morini

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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.

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Marco Bonacini, Massimiliano Morini. 2013-07-25. Stable regular critical points of the Mumford-Shah functional are local minimizers. https://arxiv.org/abs/1307.6730

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