We study the pointwise convergence and the Gamma-convergence of a family of nonlocal functionals defined in L^1_loc(R^n) to a local functional F(u) that depends on the gradient of u and on the set of discontinuity points of u. We apply this result to approximate a minimum problem introduced by Mumford and Shah to study edge detection in computer vision theory.

Finite difference approximation of the Mumford-Shah functional

GOBBINO, MASSIMO
1998-01-01

Abstract

We study the pointwise convergence and the Gamma-convergence of a family of nonlocal functionals defined in L^1_loc(R^n) to a local functional F(u) that depends on the gradient of u and on the set of discontinuity points of u. We apply this result to approximate a minimum problem introduced by Mumford and Shah to study edge detection in computer vision theory.
1998
Gobbino, Massimo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/47845
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