Regularized Wulff Flows, Nonconvex Energies and Backwards Parabolic Equations (2004)
by
Thomas Cecil
,
Stanley Osher
BibTeX
@MISC{Cecil04regularizedwulff,
author = {Thomas Cecil and Stanley Osher},
title = {Regularized Wulff Flows, Nonconvex Energies and Backwards Parabolic Equations},
year = {2004}
}
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Abstract
In this paper we propose a method of regularizing the backwards parabolic partial differential equations that arise from using gradient descent to minimize surface energy integrals within a level set framework in 2 and 3 dimensions. The proposed regularization energy is a functional of the mean curvature of the surface. Our method uses a local level set technique to evolve the resulting fourth order PDEs in time. Numerical results are shown, indicating stability and convergence to the asymptotic Wulff shape.
