平面闭曲线流几何演化性质的研究

Study on Geometric Evolution Properties of Planar Closed Curve Flow

本文利用曲线几何变量的控制方程,探讨平面曲线流的几何演化特性,得到了相关几何量性质的描述与刻画;通过曲线外点到曲线的距离刻画平面闭曲线流的整体演化规律和特性,获得了平面简单闭曲线整体演化速度是有限的。

In this paper,the governing equation of curve geometric variables are used to discuss the geometric characteristics of plane curve flow,and the description and characterization of the evolution properties of correlation variables are obtained.The global evolution law and characteristics of planar closed curve flow are characterized by the distance from the outer point of the curve to the curve,and the global evolution speed of plane simple closed curve is found to be limited.