Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets

Abstract In this work, we analyze Merriman, Bence and Osher’s thresholding scheme, a time discretization for mean curvature flow. We restrict to the two-phase setting convex initial conditions. sense of minimizing movements interpretation Esedoğlu Otto, show time-integrated energy approximation converge limit. As corollary, conditional convergence results Otto one authors become unconditional in case. Our are general enough handle extension scheme anisotropic flows which non-negative kernel can be chosen.