1st Seminar on Mathematics for various disciplines

(COE Partner Seminar, Department of Mathematics, Hokkaido University )

Contents

Outline

Organizers :
Y. Giga (Hokkaido University)
Period :
June 22, 2005 (Wednesday)
Place :
Graduate School of Mathematical Sciences the University of Tokyo, Room #056
Programme :
10:30-11:30 Y. H. Richard Tsai (University of Texas)
Threshold Dynamics for the Piecewise Constant
ABSTRACT:
We propose an efficient algorithm for minimizing the piecewise constant Mumford-Shah functional of image segmentation. 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. We discuss our current work of extending this line of work to higher order accuracy and to applications involving Willmore flow.