报告题目:Multi-phase image segmentation by the Allen--Cahn Chan--Vese model

报告人:香港理工大学乔中华教授

报告时间:2022年6月15日10:00-11:00

报告形式:腾讯会议(会议号:992-158-531)

邀请人:杨旭光

报告摘要:We propose an Allen--Cahn Chan--Vese model to settle the multi-phase image segmentation. We first integrate the Allen--Cahn term and the Chan--Vese fitting energy term to establish an energy functional, whose minimum locates the segmentation contour.  The subsequent minimization process can be attributed to variational calculation on fitting intensities and the solution approximation of several Allen--Cahn equations, wherein n Allen--Cahn equations are enough to partition m = 2^n segments.  The derived Allen--Cahn equations are solved by  efficient numerical solvers with exponential time integrations and finite difference space discretization. The discrete maximum bound principle and energy stability of the proposed numerical schemes are proved. Finally, the capability of our segmentation method is verified in various experiments for different types of images.

报告人简介:乔中华博士于2006年在香港浸会大学获得博士学位,现为香港理工大学应用数学系教授。乔博士主要从事数值微分方程方面算法设计及分析,近年来研究工作集中在相场方程的数值模拟及计算流体力学的高效算法。他至今在SCI期刊上发表论文60余篇,文章被合计引用1300余次。他于2013年获香港研究资助局颁发2013至2014年度杰出青年学者奖,于2018年获得香港数学会青年学者奖,并且于2020年获得香港研究资助局研究学者称号。