SIAM Journal on Scientific Computing
We propose efficient and accurate algorithms for computing certain area preserving geometric motions of curves in the plane, such as area preserving motion by curvature. These schemes are based on a new class of diffusion generated motion algorithms using signed distance functions. In particular, they alternate two very simple and fast operations, namely convolution with the Gaussian kernel and construction of the distance function, to generate the desired geometric flow in an unconditionally stable manner. We present applications of these area preserving flows to large scale simulations of coarsening.
Copyright © 2011, Society for Industrial and Applied Mathematics.
Society for Industrial and Applied Mathematics
diffusion generated motion, level set, area preserving mean curvature motion, coarsening
National Science Foundation
Kublik, Catherine; Esedoglu, Selim; and Fessler, Jeffrey A., "Algorithms for Area Preserving Flows" (2011). Mathematics Faculty Publications. 31.