1st Seminar on Mathematics for various disciplines
(COE Partner Seminar, Department of Mathematics, Hokkaido University )
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.