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一种新的射影变换下平面多边形的识别方法
引用本文:张桂梅,高满屯,沈允文.一种新的射影变换下平面多边形的识别方法[J].机械设计与制造,2007(2):63-65.
作者姓名:张桂梅  高满屯  沈允文
作者单位:1. 西北工业大学,机电学院,西安,710072;南昌航空工业学院,无损检测技术教育部重点实验室,南昌,330063
2. 西北工业大学,机电学院,西安,710072
基金项目:国家自然科学基金 , 无损检测技术教育部重点实验开放基金
摘    要:依据射影不变性提出5个描述多边形拓扑和几何特征的特征向量,以这些特征向量作为约束条件给出在射影变换下两个多边形为类似形的定义;基于类似形原理,提出了一种新的识别平面多边形的方法.用拓扑结构定性分析类似形对图象中的噪声不敏感,用几何特征进行定量分析能反应图象的细小差别.该识别算法不仅能识别不同形状的目标,而且还可以区分形状相同但大小、比例不同的目标.

关 键 词:射影变换  平面多边形  类似形  识别  射影变换  平面多边形  识别方法  transformation  perspective  recognizing  比例  大小  目标  形状  识别算法  差别  反应  定量分析  敏感  噪声  图象  结构定性分析  原理  类似形
文章编号:1001-3997(2007)02-0063-03
修稿时间:2006-06-11

A new method of recognizing polyhedrons under perspective transformation
ZHANG Gui-mei,GAO Man-tun,SHEN Yun-wen.A new method of recognizing polyhedrons under perspective transformation[J].Machinery Design & Manufacture,2007(2):63-65.
Authors:ZHANG Gui-mei  GAO Man-tun  SHEN Yun-wen
Abstract:Troblems are researched.Firstly we propose five topology characteristics and geometry characteristics that are invariant under perspective transformation to describe polygon.Then,the definition of homograph is given in terms of these characteristics;On the basis of this definition,a new algorithm is proposed for recognizing if two polygons are homograph based on the principle of homograph.We introduced the topological structure to analyze homograph qualitatively,therefore the algorithm is insensitive to noises;and employ geometrical structure to analyze homograph quantitatively,thus the algorithms can show fine discrimination between polygons.It can not only recognize objects of different shape but also distinguish between objects that are of the same shape but their size and scale different.
Keywords:Perspective transformation  Polygon  Homograph  Recognition
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