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Seminar on Mathematics for various disciplines
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Yoshikazu Giga, Naoyuki Ishimura, Norikazu Saito, Masahiro Yamamoto, Hiroyoshi Mitake |
| URL | https://www.math.sci.hokudai.ac.jp/coe/sympo/various/index_en.html |
2005/06/22
16:30-17:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Y. H. Richard Tsai (University of Texas)
Threshold Dynamics for the Piecewise Constant
http://coe.math.sci.hokudai.ac.jp/sympo/various/index.html
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.
[ Reference URL ]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.
http://coe.math.sci.hokudai.ac.jp/sympo/various/index.html
