Couple of variational models for multi-phase segmentation

Series: 
PDE Seminar
Tuesday, January 27, 2009 - 15:05
1.5 hours (actually 80 minutes)
Location: 
Skiles 255
,  
School of Mathematics, Georgia Tech
Image segmentation has been widely studied, specially since Mumford-Shah functional was been proposed. Many theoretical works as well as numerous extensions have been studied rough out the years. In this talk, I will focus on couple of variational models for multi-phase segmentation. For the first model, we propose a model built upon the phase transition model of Modica and Mortola in material sciences and a properly synchronized fitting term that complements it. For the second model, we propose a variational functional for an unsupervised multiphase segmentation, by adding scale information of each phase. This model is able to deal with the instability issue associated with choosing the number of phases for multiphase segmentation.