Selim Esedoglu, University of Michigan
New algorithms for multi-phase flow and high order geometric motions
Threshold dynamics, also called diffusion generated motion, of Merriman, Bence, and Osher generates the motion by mean curvature of an interface by alternating two very simple and computationally efficient operations: Convolution and thresholding. I will describe new variants that generate high order geometric motions (such as motion by surface diffusion) and how to improve the accuracy of the method on uniform grids. Applications include problems such as inpainting from image processing and multi-phase flow for grain boundary motion simulations with many grains.
TUESDAY, September 23, 2008