学术报告

The iterative convolution thresholding method and its applications

发布人:发布时间: 2020-01-02

字体大小: 【小】 【中】 【大】

 目:The iterative convolution thresholding method and its applications

报告人:王东(Department of Mathematics,University of Utah

 间:2020年1月2日(周四)上午11:00

 点:数学系西大楼一楼108报告厅

 : In this talk, we will present a novel iterative convolution-thresholding method (ICTM) that is applicable to a wide range of variational models for image segmentation and topology optimization for fluid. A variational model usually minimizes an energy functional consisting of a fidelity term and a regularization term. In the ICTM, the interface is implicitly represented by their characteristic functions and the regularized term is approximated by a functional of characteristic functions in terms of heat kernel convolution. This allows us to design an iterative convolution-thresholding method to minimize the approximate energy. The method is simple, efficient and enjoys the energy-decaying property. Numerical experiments show that the method is easy to implement, robust and applicable to a wide class of models. If time permits, we will also discuss data-driven approaches for interface motions and some future work.

邀请人:杨孝平 老师