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Discrete approximation of the Mumford-Shah functionalin dimension two

Published online by Cambridge University Press:  15 August 2002

Antonin Chambolle  and
Gianni Dal Maso
Antonin Chambolle
Affiliation:
CEREMADE, CNRS UMR 7534, Université de Paris-Dauphine, 75775 Paris Cedex 16, France.
Gianni Dal Maso
Affiliation:
SISSA, via Beirut 4, 34013 Trieste, Italy. dalmaso@sissa.it.
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Abstract

The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of vergence by a sequence ofintegral functionals defined on piecewise affine functions.

Keywords

Free discontinuity problemsspecial bounded variation (SBV) functionsΓ-convergencefiniteelements.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 4 , July 1999 , pp. 651 - 672
Copyright
© EDP Sciences, SMAI, 1999

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