# Convergence of an algorithm for anisotropic mean curvature motion

created by novaga on 27 Jul 2005
modified on 10 Nov 2018

[BibTeX]

Published Paper

Inserted: 27 jul 2005
Last Updated: 10 nov 2018

Journal: SIAM J. Math. Anal.
Volume: 37
Number: 6
Pages: 1978-1987
Year: 2006
Doi: vol. 37 n. 6, 1978--1987, 2006

Abstract:

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 $1/2$.