闭合曲线的斜对称轴线的检测

Detection for Skew Symmetry Axes of Closed Curves

本文介绍了闭合曲线的斜对称定义，以及新近获得的相关理论分析结果，并在此基础上提出一个基于对称曲线的微分性质，来检测闭合曲线的斜对称性，还设计了一个新算法，实验结果表明，该算法能够快速准确地找出闭合曲线的所有斜对称轴线。

This paper has introduced the concept of skewed symmetry axes of closed curves and explained some theoretical analyses obtained recently.Based on them a new differential property of symmetry curves is proposed.It is an important feature for detecting the skewed symmetry of closed curves.The experimental results show that the algorithm designed can find all skewed symmetry axes of closed curves quickly and accurately.