一种形状识别的方法  

A Method for Shape Recognition

作　　者：陈孝春[1] 叶懋冬[1] 倪臣敏[1] 

机构地区：[1]浙江大学数学系,杭州310027

出　　处：《模式识别与人工智能》2006年第6期758-763,共6页Pattern Recognition and Artificial Intelligence

摘　　要：任何一种二维形状都与极坐标系下的一组平面曲线相对应,这些曲线在一定的关系下组成一个曲线等价类。本文引入曲线等价类来表示形状,这种形状的表示方法具有平移、旋转、缩放不变的特性,并且在这一表示法的基础上定义多尺度下曲线等价类之间的距离来反映形状的相似度,根据这一距离的大小来判断两个形状是否相似,这种形状识别的方法对于边界的扰动不敏感。Any kind of the shapes corresponds to one set of curves which forms the curve equivalence classes based on an equivalence relation. In this paper, the curve equivalence classes are used to describe the shapes. And different kinds of shapes are mapped to the curve equivalence classes. The shape description is invariant to the translation, scale, and rotation. Based on the description, the distance between the curve equivalence classes is defined which reflects the similarity between the shapes. This method for the shape recognition has immunity to noise and small perturbations.

关 键 词：形状识别 极坐标 曲线等价类 平行线截割法 形状的距离 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]