Wang Yue, Wang Xiangjun, Yin Lei
State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, No. 92 Weijin Road, Nankai District, Tianjin, China.
Rev Sci Instrum. 2019 Jun;90(6):065108. doi: 10.1063/1.5086352.
An online calibration method of extrinsic parameters for dynamic binocular stereo vision using unknown-sized rectangle images is presented herein. The two cameras can rotate freely in two-axis direction without zooming, and the cameras' intrinsic parameters and initial relative position are known in advance. Hence, only the rotation angles of the cameras, namely, the yaw angle in the horizontal direction and the pitch angle in the vertical direction, must be solved. The approximate values of the rotation angles are obtained by the Ellipse-A attitude and heading reference system in real time, and the rotation angles of each camera are solved iteratively using only a single rectangular centroid according to interimage homography. The pitch and yaw angles are eventually modified based on the property of fundamental matrix by the corresponding rectangular centroids, obtained by the left and right cameras after rotation, respectively. Computer simulations and real experiments are performed to validate the efficiency of the proposed method, and we compare calibration results with that of the scale-invariant feature transform method and Zhang's method. The quantitative results demonstrate that the root mean square (rms) of the absolute error of the attitude angles and the translation vector does not exceed 0.12° and 7.2 mm, respectively. Additionally, the rms of the relative error of the three-dimensional coordinates does not exceed 1.6%.
本文提出了一种基于未知尺寸矩形图像的动态双目立体视觉外部参数在线校准方法。两台相机可在两轴方向自由旋转且不缩放,相机的内部参数和初始相对位置预先已知。因此,只需求解相机的旋转角度,即水平方向的偏航角和垂直方向的俯仰角。通过椭圆 - A姿态和航向参考系统实时获取旋转角度的近似值,并根据图像间单应性仅使用单个矩形质心对每个相机的旋转角度进行迭代求解。最终根据基本矩阵的性质,分别利用旋转后左右相机得到的相应矩形质心对俯仰角和偏航角进行修正。进行了计算机模拟和实际实验以验证所提方法的有效性,并将校准结果与尺度不变特征变换方法和张正友方法的结果进行比较。定量结果表明,姿态角和平移向量的绝对误差的均方根(rms)分别不超过0.12°和7.2毫米。此外,三维坐标的相对误差的均方根不超过1.6%。