恒定面积速度下多边形曲线运动的分析与数值方面
数值分析
2008-05-13 v3 微分几何
摘要
具有恒定面积速度的多边形曲线运动被表述为一组常微分方程。解多边形曲线属于指定的多边形类，该类类似于晶体曲率流中使用的容许类。微分方程在时间上隐式离散化，保持给定的恒定面积速度，同时解多边形曲线始终保持属于该多边形类。
引用
@article{arxiv.0802.2204,
title = {Analytical and numerical aspects on motion of polygonal curves with constant area speed},
author = {Michal Benes and Masato Kimura and Shigetoshi Yazaki},
journal= {arXiv preprint arXiv:0802.2204},
year = {2008}
}
备注
Proceedings of Slovak-Austrian Mathematical Congress, within MAGIA 2007, Dept. of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, ISBN 978-80-227-2796-9 (2007) 127--141