一种基于质量(面积)的不变量  

A SET OF INVARIANTS BASED ON MASS/AREA

作　　者：刘亦书[1] 

机构地区：[1]华南师范大学地理科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2007年第2期57-61,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：广东省自然科学基金博士启动项目(04300033)

摘　　要：为了对几何变形的图像进行正确和有效的识别,构造了一种新的特征——基于图像质量(面积)的不变量.它们具有平移、旋转、尺度和反射不变性,且构造过程简单易懂:首先以物体的质心为圆心,生成一组同心圆,然后对每个圆计算“圆内质量(或面积)与物体总质量(或总面积)之比”,这组比就是一组平移、旋转、尺度和反射不变量.将它们用于机械零件和字符的识别,获得很高的识别率.Recognition of distorted images is very important in pattern recognition and computer vision, and finding efficient features which are invariant under some geometrical transforms is the key to solving this problem. This paper concentrates on deriving a novel kind of features, namely invariants based on mass/area, which are invariant with regard to translation, rotation, scale changes and reflection. A set of circles centering on the object centroid are generated first, then for each circle, the ratio of mass （or area） within the circle to the total mass （or area） is calculated, which are invariants based on mass/area. Numerical experiments are carried out and a very high recognition ratio is obtained.

关 键 词：质量 面积 不变量 圆 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]