A numerical approach to the problem: min F λ(E), where F λ(E)=P(E, R n )+λ|Ω/E|, is considered. The functional F λ is approximated, using techniques of Γ-convergence, with a sequence of functionals that are successively discretized by finite differences. A relation between the index of the approximating sequence and the meshsize of the domain is found. © 1990 Università degli Studi di Ferrara.
Bellettini, G. (1990). A numerical approach to a minimum problem with applications in image segmentations. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE, XXXVI(1), 99-111 [10.1007/BF02837210].
A numerical approach to a minimum problem with applications in image segmentations
Bellettini, Giovanni
1990-01-01
Abstract
A numerical approach to the problem: min F λ(E), where F λ(E)=P(E, R n )+λ|Ω/E|, is considered. The functional F λ is approximated, using techniques of Γ-convergence, with a sequence of functionals that are successively discretized by finite differences. A relation between the index of the approximating sequence and the meshsize of the domain is found. © 1990 Università degli Studi di Ferrara.
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https://hdl.handle.net/11365/1017453