Online extrinsic parameters calibration of on-board stereo cameras based on certifiable optimization

The extrinsic parameters of on-board stereo cameras can be slightly altered due to temperature fluctuations, vibrations, and accidental impacts during automobile driving, leading to significant performance loss in dense stereo matching. In this paper, we propose an online calibration method based on certifiable optimization to address this issue. Initially, sparse feature points are collected based on plane distribution and disparity. A robust optimization model is then developed to minimize the epipolar error, utilizing iterative local optimization to eliminate outliers and determine the 5DOF extrinsic parameters. Subsequently, a relaxation problem is constructed using inliers, and global optimization is performed to certify that the locally optimal results are indeed globally optimal. Comparative experimental results demonstrate that the proposed method offers high accuracy and reliability. Additionally, the quality of the disparity map generated by our calibration method is comparable to that achieved through offline calibration.