| Issue |
ESAIM: M2AN
Volume 33, Number 4, July August 1999
|
|
|---|---|---|
| Page(s) | 651 - 672 | |
| DOI | https://doi.org/10.1051/m2an:1999156 | |
| Published online | 15 August 2002 | |
Discrete approximation of the Mumford-Shah functional in dimension two
1
CEREMADE, CNRS UMR 7534,
Université de Paris-Dauphine,
75775 Paris Cedex 16, France.
2
SISSA, via Beirut 4, 34013 Trieste, Italy.
dalmaso@sissa.it.
Received:
11
May
1998
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of vergence by a sequence of integral functionals defined on piecewise affine functions.
Résumé
La fonctionnelle de Mumford et Shah, proposée pour l'étude du problème de la segmentation d'images, est approchée au sens de la Γ-convergence par une suite de fonctionnelles intégrales définies sur des fonctions affines par morceaux.
Mathematics Subject Classification: 26A45 / 49J45 / 49Q20 / 68U10
Key words: Free discontinuity problems / special bounded variation (SBV) functions / Γ-convergence / finite elements.
© EDP Sciences, SMAI, 1999
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