諸分野のための数学研究会
過去の記録 ~10/15|次回の予定|今後の予定 10/16~
開催情報 | 火曜日 10:30~11:30 数理科学研究科棟(駒場) 056号室 |
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担当者 | 儀我美一、石村直之(中央大学)、齊藤宣一、山本昌宏 |
セミナーURL | http://coe.math.sci.hokudai.ac.jp/sympo/various/ |
目的 | 北海道大学のHPには、第1回(2005年6月22日)~第22回(2009年2月18日)の情報が掲載されております。 |
2005年06月22日(水)
16:30-17:30 数理科学研究科棟(駒場) 056号室
Y. H. Richard Tsai 氏 (University of Texas)
Threshold Dynamics for the Piecewise Constant
http://coe.math.sci.hokudai.ac.jp/sympo/various/index.html
Y. H. Richard Tsai 氏 (University of Texas)
Threshold Dynamics for the Piecewise Constant
[ 講演概要 ]
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.
[ 参考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