Image Segmentation: Diffusive or Sharp Interfaces and Some Global Minimization Techniques

17 February 2012
Xue-Cheng Tai
Image segmentation and a number of other problems from image processing and computer vision can be regarded as interface problems. Recently, diffusive and sharp interface techniques have been used for these problems. In this talk, we will first briefly explain these models and compare the advantages and disadvantages of these models. Numerically, these models can be solved through some PDEs. In the end, we will show some recent results on how to use graph cut to solve these interface problems. Moreover, the global minimizer can be guaranteed even the problem is nonconex and nonlinear. The use of max-flow in a network setting and also in an infinite dimensional setting will be explained.
  • OxPDE Special Seminar