Inserted: 27 jul 2005
Last Updated: 10 nov 2018
Journal: SIAM J. Math. Anal.
Doi: vol. 37 n. 6, 1978--1987, 2006
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 $1/2$.