Calculus of Variations and Geometric Measure Theory
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A. Chambolle - M. Novaga

Convergence of an algorithm for anisotropic mean curvature motion

created by novaga on 27 Jul 2005


Submitted Paper

Inserted: 27 jul 2005

Year: 2005


We give a simple proof of convergence of the anisotropic variant of a well-known algorithm for mean curvature motion, introduced in 1992 by Merriman, Bence and Osher. The algorithm consists in alternating the resolution of the (anisotropic) heat equation, with initial datum the characteristic function of the evolving set, and a thresholding at level $1/2$.


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