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Stable regular critical points of the Mumford–Shah functional are local minimizers.
- Source :
-
Annales de l'Institut Henri Poincaré C . May2015, Vol. 32 Issue 3, p533-570. 38p. - Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CRITICAL point theory
*FUNCTIONALS
*TOPOLOGY
*NEIGHBORHOODS
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 02941449
- Volume :
- 32
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Annales de l'Institut Henri Poincaré C
- Publication Type :
- Academic Journal
- Accession number :
- 103116704
- Full Text :
- https://doi.org/10.1016/j.anihpc.2014.01.006