Stable regular critical points of the Mumford–Shah functional are local minimizers
Bonacini, M. ; Morini, M.
Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015), p. 533-570 / Harvested from Numdam
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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.

Publié le : 2015-01-01
DOI : https://doi.org/10.1016/j.anihpc.2014.01.006
Classification:  49K10,  49Q20 
@article{AIHPC_2015__32_3_533_0,
     author = {Bonacini, M. and Morini, M.},
     title = {Stable regular critical points of the Mumford--Shah functional are local minimizers},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {32},
     year = {2015},
     pages = {533-570},
     doi = {10.1016/j.anihpc.2014.01.006},
     mrnumber = {3353700},
     zbl = {1316.49026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2015__32_3_533_0}
}

Bonacini, M.; Morini, M. Stable regular critical points of the Mumford–Shah functional are local minimizers. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) pp. 533-570. doi : 10.1016/j.anihpc.2014.01.006. http://gdmltest.u-ga.fr/item/AIHPC_2015__32_3_533_0/

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