Gai Shaoyan, Da Feipeng, Fang Xu
Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China.
State Key Laboratory of Digital Manufacturing Equipment & Technology, Huazhong University of Science & Technology, Wuhan 430074, China.
PLoS One. 2016 Oct 31;11(10):e0165487. doi: 10.1371/journal.pone.0165487. eCollection 2016.
A novel calibration method based on polar coordinate is proposed. The world coordinates are expressed in the form of polar coordinates, which are converted to world coordinates in the calibration process. In the beginning, the calibration points are obtained in polar coordinates. By transformation between polar coordinates and rectangular coordinates, the points turn into form of rectangular coordinates. Then, the points are matched with the corresponding image coordinates. At last, the parameters are obtained by objective function optimization. By the proposed method, the relationships between objects and cameras are expressed in polar coordinates easily. It is suitable for multi-camera calibration. Cameras can be calibrated with fewer points. The calibration images can be positioned according to the location of cameras. The experiment results demonstrate that the proposed method is an efficient calibration method. By the method, cameras are calibrated conveniently with high accuracy.
提出了一种基于极坐标的新型校准方法。世界坐标以极坐标形式表示，在校准过程中转换为世界坐标。首先，在校准点的极坐标形式下获取校准点。通过极坐标与直角坐标之间的转换，这些点转变为直角坐标形式。然后，将这些点与相应的图像坐标进行匹配。最后，通过目标函数优化获得参数。通过所提出的方法，物体与相机之间的关系能够轻松地以极坐标表示。它适用于多相机校准。可以用较少的点对相机进行校准。校准图像可以根据相机的位置进行定位。实验结果表明，所提出的方法是一种有效的校准方法。通过该方法，可以方便地对相机进行高精度校准。
