ALGORITHMS FOR MOTION OF NETWORKS BY WEIGHTED MEAN CURVATURE

摘要

I will report on recent developments in a class of algorithms, known as threshold dynamics, for computing the motion of interfaces by mean curvature. These algorithms try to generate the desired interfacial motion just by alternating two very simple operations: Convolution, and thresholding. They can be extended to the multiphase setting of networks of surfaces, and to motion by weighted (anisotropic) mean curvature, while maintaining the simplicity of the original version. These extensions are relevant in applications such as materials science, where they allow large scale simulation of models for microstructure evolution in polycrystals.