# Discrete approximation of the Mumford-Shah functional in dimension two

Antonin Chambolle; Gianni Dal Maso

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 4, page 651-672
- ISSN: 0764-583X

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topChambolle, Antonin, and Maso, Gianni Dal. "Discrete approximation of the Mumford-Shah functional in dimension two." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 651-672. <http://eudml.org/doc/197453>.

@article{Chambolle2010,

abstract = {
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.
},

author = {Chambolle, Antonin, Maso, Gianni Dal},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Free discontinuity problems; special bounded variation (SBV)
functions; Γ-convergence; finite elements.; classes SBV and GSBV of functions of bounded variation; Mumford-Shah functional; variational approximation; -convergence; special functions of bounded variation; integral functionals},

language = {eng},

month = {3},

number = {4},

pages = {651-672},

publisher = {EDP Sciences},

title = {Discrete approximation of the Mumford-Shah functional in dimension two},

url = {http://eudml.org/doc/197453},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Chambolle, Antonin

AU - Maso, Gianni Dal

TI - Discrete approximation of the Mumford-Shah functional in dimension two

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 4

SP - 651

EP - 672

AB -
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.

LA - eng

KW - Free discontinuity problems; special bounded variation (SBV)
functions; Γ-convergence; finite elements.; classes SBV and GSBV of functions of bounded variation; Mumford-Shah functional; variational approximation; -convergence; special functions of bounded variation; integral functionals

UR - http://eudml.org/doc/197453

ER -

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