Abstract.
In this paper we consider a class of discrete variational models derived from a theory of Geman and McClure (see [15]) and study their asymptotic behavior when their stepsize tends to zero. It is shown that a result of Γ -convergence toward a certain functional holds true if a characteristic parameter of these models obeys a well-defined dependence law upon the stepsize. Under this condition the Γ -limit is a modified form of the Mumford—Shah functional.
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Accepted 19 June 1998
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Rosati, M. Asymptotic Behavior of a Geman and McClure Discrete Model. Appl Math Optim 41, 51–85 (2000). https://doi.org/10.1007/s002459911004
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DOI: https://doi.org/10.1007/s002459911004