Calculation method of projection point of circle center in camera calibration

Kui Wu; Qiancheng Ying; Wenqian Wang; Liansheng Zhang; Rongjun Cheng; Qiangxian Huang

doi:10.1117/12.2611313

19 November 2021 Calculation method of projection point of circle center in camera calibration

Kui Wu, Qiancheng Ying, Wenqian Wang, Liansheng Zhang, Rongjun Cheng, Qiangxian Huang

Proceedings Volume 12059, Tenth International Symposium on Precision Mechanical Measurements; 120590A (2021) https://doi.org/10.1117/12.2611313
Event: Tenth International Symposium on Precision Mechanical Measurements, 2021, Qingdao, China

Abstract

In order to eliminate the asymmetric projection error, this paper proposes a method to calculate projection point of circle center by use of concentric circles. Firstly, the basic principles and mathematical model are introduced briefly. Next, take arbitrary secants on a circle, the relationship between the secant midpoint and the projection point of the infinity point on the imaging plane is obtained based on the properties of projective geometry. The equations which contain parameters of secant midpoints are established according to the geometric constraints. Then the coordinate of projection point of circle center is derived from the coordinates of secant midpoints. Finally, in order to eliminate the algorithm error in the calculation process, the coordinates of all solved projection points are averaged to get the final coordinates. The simulation results show that the method can get the projection point of circle center accurately and stably, and does not have intrinsic projection error. Besides, the accuracy of the proposed method is 1.71nm higher than that of the direct ellipse fitting method.

Citation Download Citation

Kui Wu, Qiancheng Ying, Wenqian Wang, Liansheng Zhang, Rongjun Cheng, and Qiangxian Huang "Calculation method of projection point of circle center in camera calibration", Proc. SPIE 12059, Tenth International Symposium on Precision Mechanical Measurements, 120590A (19 November 2021); https://doi.org/10.1117/12.2611313

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