國立清華大學 數學系

Abstract: We present two types of numerical methods for planar anisotropic mean curvature flows. The first method uses simple combination of linear diffusion and thresholding procedures to generate various geometric motions of an implicit interface. The second methods are based on the variational approach of Alm- gren, Taylor and Wang, and Chambolle. Our approach uses the Split-Bregman method for total variation minimization. In the crystalline anisotropy case, we derive an algorithm for a corresponding crystalline shrinkage (or soft thresholding) problem. Tea Time: 3:30PM R707