建立相机镜头主点随旋转装置转动的运动轨迹模型,提出基于2D平面摄像机标定原理的相机镜头主点与转台中心之间距离的测量方法。利用标定得到的相机与设定的世界坐标系之间的平移矩阵来确定相机镜头主点与转台中心的位置关系,用于指导相机的安装。实验验证所提模型和标定方法的可行性。相机镜头的主点过转轴中心时,转台带动相机转动引起的平移矩阵的变化量的标准差为0.0826 mm,这表明所提方法能够用于指导旋转测量系统的安装。

We establish a motion trajectory model for the principal point of a camera when it rotates with the rotating device. We also propose a calibration method based on the two-dimensional planar calibration of the camera to determine the distance between the camera's principal point and the turntable axis; the resulting translation matrix allows the calculation of the position relation between the principal point and the rotating center, providing a guidance for the camera installation. Further, the proposed motion trajectory model and calibration method are experimentally validated. The principal point of camera lens crosses the center of the rotation axis, and the standard deviation of the measured changes in translation matrix is 0.0826 mm. The results of this study can be used to support the installation of rotating measurement systems.