The calibration method for the Mumford-Shah functional

Authors
Alberti, G Bouchitte, G Dal Maso, G
Citation
G. Alberti et al., The calibration method for the Mumford-Shah functional, CR AC S I, 329(3), 1999, pp. 249-254
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
3
Year of publication
1999
Pages
249 - 254
Database
ISI
SICI code
0764-4442(19990801)329:3<249:TCMFTM>2.0.ZU;2-H
Abstract
In this Note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion (Theorem I) to verify that a given function is energy minimizing. Among other applications, we use this criterion to sh ow that certain triple-junction configurations are minimizing (Example 3). (C) Academie des Sciences/Elsevier, Paris.