## 留言板

 引用本文: 彭妍, 郭君斌, 于传强, 等 . 基于平面变换的高精度相机标定方法[J]. 北京航空航天大学学报, 2022, 48(7): 1297-1303.
PENG Yan, GUO Junbin, YU Chuanqiang, et al. Calibration method for high precision camera based on plane transformation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(7): 1297-1303. doi: 10.13700/j.bh.1001-5965.2021.0015(in Chinese)
 Citation: PENG Yan, GUO Junbin, YU Chuanqiang, et al. Calibration method for high precision camera based on plane transformation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(7): 1297-1303. (in Chinese)

• 中图分类号: TP391

## Calibration method for high precision camera based on plane transformation

Funds:

National Natural Science Foundation of China 61501470

###### Corresponding author:GUO Junbin, E-mail: gjb_202@163.com
• 摘要:

针对传统方法未考虑透视偏差的存在，提取椭圆圆心作为真实物理圆心投影点造成相机标定误差的问题，提出了一种基于平面变换的高精度相机标定方法。提取标定板内外边框上的角点，对标定板进行平面变换，将标记点由椭圆投影成近似的标准圆；利用图像矩提取标准圆圆心的坐标，投影回原标定板平面，得到标记点实际圆心的像素坐标；根据圆形标记点实际圆心的坐标，利用张正友标定法完成相机标定。实验结果表明：与传统方法相比，所提方法将相机标定的误差降低了66.169%，有效提高了相机标定的精度。

• 图 1  点阵标定板

Figure 1.  Lattice calibration plate

图 2  图像预处理

Figure 2.  Image pre-processing

图 3  提取边框的角点

Figure 3.  Extraction of border corners

图 4  经过透视变换的标定板平面

Figure 4.  Calibration plate plane after perspective transformation

图 5  提取标准圆的圆心

Figure 5.  Extraction of center of standard circle

图 6  提取圆形标记点的圆心

Figure 6.  Extraction of center of circular markers

图 7  点阵标定板的像素坐标系轴线分布

Figure 7.  Axis distribution of pixel coordinate system of lattice calibration plate

图 8  点阵标定板的世界坐标系轴线分布

Figure 8.  Axis distribution of world coordinate system of lattice calibration plate

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##### 出版历程
• 收稿日期:  2021-01-11
• 录用日期:  2021-04-09
• 刊出日期:  2021-04-19

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