几何外形特性描述的角度编码方法

ON ANGLE CODING DESCRIPTION OF FEATURES FOR ARBITRARY GEOMETRICAL CONFIGURATION

本文分析外形曲线的几何性质及数字特征的角度编码描述及其解析计算.文中给出了何外形曲线的周长、方向宽度;封闭曲线所围成的区域面积、矩及距离的解析计算公式;证明了曲线封闭的充分必要条件;阐明了角点特征的检测方法;讨论了将二维形状分析转化为波形分析的角度编码方法.从而给出了一系列与Freeman方向编码理论相平行的理论结果.这些结果对于计算机视觉系统实施形状分析具有应用价值.

The author presents a method of angle coding for arbitrary geometrical configuration in [1], and proves the sufficient and necessary conditions for straight line angle coding and gives the algorithm of recognition in [2]. In this paper, the description and analytical computation using angle coding for geometrical properties and numerical characteristics of configuration curves are studied in detail. The perimeter, the direction width of geometrical configuration curves, the area, moments and distance and their analytical computation formulations, the proof of the sufficient and necessary conditions for curvilineal seal, the method of detection for angle nods and the method of converting two dimensional wave configuration into one dimensional wave using angle coding, etc. are presented. Therefore, we have obtained a set of theoretical results of angle coding which parallel with the theories of Freeman's direction coding. These results have pravtical value for computer vision and shape analysis.