总体最小二乘法在相机标定中的应用

对比总体最小二乘方法与最小二乘方法在相机标定中的适用性及优越性。在相机标定中,由于像点坐标和对应的地面点坐标均存在误差,因此采用总体最小二乘方法对误差方程中的系数矩阵及观测向量同时改正,能够建立更加合理的计算模型。文中以相机标定两步法为例,通过实例解算,证明利用总体最小二乘法能够得到精度更高的相机标定参数解。

On total least squares for camera calibration

The applicability and superiority of Total Least Squares (TLS) and Least Squares (LS) in camera calibration have been studied in this paper .Because the coordinates of the ground point and the image point all exist errors ,the total least squares solution is preferably used here ,for that the errors exist both in the observation vector and the coefficient matrix .The example of two‐step camera calibration is carried out to demonstrate the performance of the TLS method .The result shows that camera calibration parameters calculated through the TLS method is more accurate .