讲座题目：Image Segmentation with Eigenfunctions of an Anisotropic Diffusion Operator
报告人： 王靖岳
时间： 2014.10.31 (星期五）上午10：20
地点： 学院3#-102(学院中楼)
摘要：
We propose the eigenvalue problem of an anisotropic diffusion operator for image segmentation.
The diffusion matrix is defined based on the input image. The eigenfunctions and the projection of
the input image in some eigenspace capture key features of the input image. The eigenvalue problem
is related to the algebraic eigenvalue problems resulting from several commonly used discrete spectral
clustering models. The relation provides a better understanding and helps developing more efficient
numerical implementation and rigorous numerical analysis for discrete spectral segmentation methods.
A numerical implementation based on a finite element method with an anisotropic mesh adaptation
strategy is presented. We show that the numerical scheme gives much more accurate results on
eigenfunctions than uniform meshes. Several interesting features of the model are examined in
numerical examples and possible applications are discussed.
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