Analytical and numerical aspects on motion of polygonal curves with constant area speed
Numerical Analysis
2008-05-13 v3 Differential Geometry
Abstract
General area-preserving motion of polygonal curves is formulated as a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to the admissible class used in the crystalline curvature flow. The ODEs are discretized implicitly in time keeping a given constant area speed while solution polygonal curves keep belonging to the polygonal class.
Keywords
Cite
@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}
}
Comments
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