Hao Yanan, Tai Vin Cent, Tan Yong Chai
Department of Electronic Engineering, Taiyuan Institute of Technology, Taiyuan 030008, China.
Faculty of Engineering, Built Environment and Information Technology, SEGI University, Petaling Jaya 47810, Malaysia.
Sensors (Basel). 2023 Oct 3;23(19):8240. doi: 10.3390/s23198240.
This research aimed to optimize the camera calibration process by identifying the optimal distance and angle for capturing checkered board images, with a specific focus on understanding the factors that influence the reprojection error (ϵRP). The objective was to improve calibration efficiency by exploring the impacts of distance and orientation factors and the feasibility of independently manipulating these factors. The study employed Zhang's camera calibration method, along with the 2 full-factorial analysis method and the Latin Hypercube Sampling (LHS) method, to identify the optimal calibration parameters. Three calibration methods were devised: calibration with distance factors (D, H, V), orientation factors (R, P, Y), and the combined two influential factors from both sets of factors. The calibration study was carried out with three different stereo cameras. The results indicate that D is the most influential factor, while H and V are nearly equally influential for method A; P and R are the two most influential orientation factors for method B. Compared to Zhang's method alone, on average, methods A, B, and C reduce ϵRP by 25%, 24%, and 34%, respectively. However, method C requires about 10% more calibration images than methods A and B combined. For applications where lower value of ϵRP is required, method C is recommended. This study provides valuable insights into the factors affecting ϵRP in calibration processes. The proposed methods can be used to improve the calibration accuracy for stereo cameras for the applications in object detection and ranging. The findings expand our understanding of camera calibration, particularly the influence of distance and orientation factors, making significant contributions to camera calibration procedures.
本研究旨在通过确定拍摄棋盘图像的最佳距离和角度来优化相机校准过程,特别关注理解影响重投影误差(ϵRP)的因素。目标是通过探索距离和方向因素的影响以及独立操纵这些因素的可行性来提高校准效率。该研究采用张式相机校准方法,以及全因子分析方法和拉丁超立方抽样(LHS)方法,来确定最佳校准参数。设计了三种校准方法:基于距离因素(D、H、V)、方向因素(R、P、Y)以及两组因素中两个有影响因素的组合进行校准。校准研究使用了三种不同的立体相机。结果表明,对于方法A,D是最具影响力的因素,而H和V的影响力几乎相同;对于方法B,P和R是两个最具影响力的方向因素。与单独使用张式方法相比,平均而言,方法A、B和C分别将ϵRP降低了25%、24%和34%。然而,方法C所需的校准图像比方法A和B的总和多约10%。对于需要较低ϵRP值的应用,推荐使用方法C。本研究为校准过程中影响ϵRP的因素提供了有价值的见解。所提出的方法可用于提高立体相机在目标检测和测距应用中的校准精度。这些发现扩展了我们对相机校准的理解,特别是距离和方向因素的影响,为相机校准程序做出了重要贡献。