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On the(Gamma)-limit of the Mumford-Shah functional

โœ Scribed by Marc Oliver Rieger; Paolo Tilli


Publisher
Springer
Year
2005
Tongue
English
Weight
329 KB
Volume
23
Category
Article
ISSN
0944-2669

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Finite difference approximation of the M
โœ Massimo Gobbino ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 333 KB

We study the pointwise convergence and the ฮ“-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 Mumfor