透视投影变换中椭圆中心畸变误差模型及其仿真研究  

A Distortion Error Model of the Perspective Projection of Ellipse Center and Its Simulation

作　　者：魏振忠[1] 张广军[1] 

机构地区：[1]北京航空航天大学自动化科学与电气工程学院,北京100083

出　　处：《仪器仪表学报》2003年第2期160-164,共5页Chinese Journal of Scientific Instrument

基　　金：教育部跨世纪优秀人才培养计划基金资助项目

摘　　要：针对在三维视觉检测应用中 ,空间椭圆中心的透视投影变换存在畸变误差的问题进行了研究。基于透视投影变换和空间解析几何理论 ,建立了在摄像机的像平面上该畸变误差的数学模型 ,并进行了仿真研究 ,获得了该畸变误差的变化规律 ,从而为圆孔 (椭圆孔 )或圆柱 (椭圆柱 )类工件的中心位置的视觉检测、结构光三维视觉检测应用及视觉检测中的 CCD摄像机内部参数标定等问题的有效解决 ,提供了一个有效的理论依据 。In 3D visual inspection applications,there usually exists a distortion error of the perspective projection of ellipse center To address this problem,a mathematical model of this distortion error on the image plane of the CCD camera is established based on the theory of perspective projection and the theory of spatial analytic geometry Meanwhile,the simulation is done and some conclusions about the distortion error are drawn This paper provides an available theoretical reference for the inspection of the centers of the circular holes (elliptical holes) or cylindrical(cylindroid)workpieces,the inspection application of structured light based 3D vision and the calibration of the intrinsic parameters of CCD cameras,etc Thus it is really significant in theory and is valuable in engineering applications

关 键 词：三维视觉检测 椭圆中心 透视投影变换 畸变误差 仿真 

分 类 号：TG8[金属学及工艺—公差测量技术] TP391.9[自动化与计算机技术—计算机应用技术]