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圆环标识的离心偏差校正方法与评价

Correcting Method and Evaluation of Eccentricity Error of Circle Target

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摘要

圆环标识在目标识别及定位中应用广泛,其定位精度很大程度上决定了三维测量系统的精度。为了消除由透视投影变换产生的离心偏差,提高圆环标识的定位精度,对圆环的离心偏差校正展开研究,根据已有的空间投影推导给出校正方法。首先同心圆环经过透视投影变换,得到中心分离的双椭圆,由双椭圆的中心和同心圆环半径信息,得到圆心的实际位置。然后进行同心圆环投影仿真实验,根据圆心定位结果分析偏心误差与圆环半径以及旋转角度的关系。最后利用显示器作为物平面显示不同参数的同心圆环,与相机构成实验系统对圆心测量精度进行评价。结果表明:此方法可以准确地获取圆环标识的真实投影点,且校正后,经标定的相机平均反投影误差减小为原来的50%。利用显示器验证圆环定位精度,与以前的标定板验证方法相比,圆环标定在操作上具有更好的灵活性与实用性。

Abstract

Circular target has been widely used in object recognition and localization, and its localization precision largely determines the precision of the 3D measurement system. In order to eliminate the eccentricity error generated by perspective projection transformation and improve the location precision of circular target, the eccentricity error correction of circles target has been researched, and a correction method based on the existing derivation of spatial projection is proposed. Firstly, through perspective projection transformation, the concentric circle is changed to two different ellipses with separate centers. According to the centers of two ellipses and the radius of concentric circle, the actual position of the center is calculated. Then, a concentric circle projection simulation experiment is carried out, and the relationships between eccentricity error and radius of circle as well as the rotation angle are analyzed according to the result of circle central location. Finally, a monitor is used as object plane to display the concentric circles with different parameters. And together with a camera, they constitute the experiment system to evaluate the measurement precision of circle center. The results show that this method can accurately obtain the actual projection point of concentric circular target, and the average back-projection error of the calibrated camera can be reduced to 50% after correction. Compared with previous verification methods using calibration board, the proposed method using monitor to verify the concentric circle location precision has better flexibility and practicality in operation.

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中图分类号:TH741

DOI:10.3788/lop54.041203

所属栏目:仪器,测量与计量

基金项目:国家自然科学基金(51675160,61171048)、教育部"创新团队发展计划"(IRT1232)、河北省应用基础研究计划重点基础研究资助项目(15961701D)、河北省高层次人才资助项目(NGCC2014049)、河北省人才工程培养经费资助项目(A201500503)、天津市科技计划项目(15PTSYJC00260)

收稿日期:2016-09-06

修改稿日期:2016-12-05

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作者单位    点击查看

安晶晶:河北工业大学机械工程学院, 天津 300130
高楠:河北工业大学机械工程学院, 天津 300130
陈超:河北工业大学机械工程学院, 天津 300130
刘茜阳:河北工业大学机械工程学院, 天津 300130
张宗华:河北工业大学机械工程学院, 天津 300130

联系人作者:安晶晶(anjing0326@126.com)

备注:安晶晶(1992-),女,硕士研究生,主要从事光学检测和三维成像方面的研究。

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引用该论文

An Jingjing,Gao Nan,Chen Chao,Liu Xiyang,Zhang Zonghua. Correcting Method and Evaluation of Eccentricity Error of Circle Target[J]. Laser & Optoelectronics Progress, 2017, 54(4): 041203

安晶晶,高楠,陈超,刘茜阳,张宗华. 圆环标识的离心偏差校正方法与评价[J]. 激光与光电子学进展, 2017, 54(4): 041203

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