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Threshold dynamics for the piecewise constant Mumford-Shah functional of image segmentation
Special Events| Speaker: | Selim Esedoglu, U.C.L.A. |
| Location: | 693 Kerr |
| Start time: | Mon, Jan 10 2005, 11:00AM |
Description
Image segmentation is a fundamental procedure of computer vision. It forms a crucial preliminary step in extracting useful information from digital images. Given an image, its goal is to determine
the regions that contain different objects. One of the most successful mathematical models for segmentation is the variational model of Mumford
and Shah. We propose an efficient algorithm for minimizing the piecewise constant version of the Mumford-Shah functional. It is based on the
threshold dynamics of Merriman, Bence, and Osher for evolving an interface by its mean curvature. We show that a very fast minimization can be
achieved by alternating the solution of a linear parabolic partial differential equation and simple thresholding. This is joint work with
Richard Tsai.