The Γ-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension
نویسندگان
چکیده
In this paper we generalize to arbitrary dimensions a one-dimensional equicoerciveness and Γ-convergence result for a second derivative perturbation of Perona-Malik type functionals. Our proof relies on a new density result in the space of special functions of bounded variation with vanishing diffuse gradient part. This provides a direction of investigation to derive approximation for functionals with discontinuities penalized with a “cohesive” energy, that is, whose cost depends on the actual opening of the discontinuity.
منابع مشابه
[hal-00779609, v1] The $\Gamma$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension
In this paper we generalize to arbitrary dimensions a one-dimensional equicoerciveness and Γ-convergence result for a second derivative perturbation of Perona-Malik type functionals. Our proof relies on a new density result in the space of special functions of bounded variation with vanishing diffuse gradient part. This provides a direction of investigation to derive approximation for functiona...
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