Distortion Error Model of Image of Ellipse Center in 3D Visual Inspection
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摘要: 针对在三维视觉检测应用中,空间椭圆的中心经摄像机针孔成像后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,从而为圆孔(椭圆孔)或圆柱(椭圆柱)类工件中心位置的视觉检测、结构光三维视觉检测应用以及视觉检测中的CCD摄像机内部参数标定等问题的解决提供了一个有效的理论依据,具有一定的理论意义和工程应用价值.Abstract: In 3D visual inspection applications, there usually exists a distortion error of the CCD camera's pin-hole image of ellipse center. To address this problem, a mathematical model of this distortion error on the image plane of the CCD camera was established based on the theory of perspective projection and the theory of spatial analytic geometry. As it can quantificationally compensate the distortion error according to the parameters of vision system and the position and geometrical parameters of the inspected object, the proposed model provides a valuable theoretical reference for the inspection of the centers of the circular holes (elliptical holes) or cylindrical (cylindroid) workpieces, for the inspection application of structured-light based 3D vision and for the calibration of the intrinsic parameters of CCD cameras.
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Key words:
- vision /
- ellipse /
- perspective projection /
- pin-hole imaging /
- distortion error
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