光学学报, 2013, 33 (6): 0615003, 网络出版: 2013-05-14
基于像对基础矩阵的多像一维标定方法
One-Dimensional Multi-Camera Calibration Based on Fundamental Matrix
机器视觉 相机标定 基础矩阵 一维标定 径向畸变 machine vision camera calibration fundamental matrix one-dimensional calibration radial distortion
摘要
针对基于灭点的一维相机标定法在抑制径向畸变上的缺陷,提出了一种基于基础矩阵的一维标定法,该方法通过基础矩阵恢复投影意义下的相机矩阵,进而转换至欧式空间的方式来求解内方位元素矩阵。该标定方法中无需任何先验知识或计算灭点,一维标定物能做任意的刚体运动,可以对多个相机同时进行标定,适合于非实验室环境下的相机快速标定。模拟数据的相关对比实验证明,当径向畸变不可忽略时基于基础矩阵的标定法优于基于灭点的标定法,真实数据的相关对比实验验证了该方法的实用性。
Abstract
With analyzing the defect of the methods based on vanishing point with radial distortion, a calibration algorithm is proposed. The fundamental matrix of binocular set is estimated, which allows to perform a projective calibration of each camera. The calibration is updated for the Euclidean space. The calibration is possible without imposing any restriction on the movement of the pattern and without any prior information about the cameras or calculating vanishing point. It can calibrate all the cameras at the same time. This method is suitable for the fast camera calibration in a non-laboratory environment. Finally, the experiments on synthetic images validate that the proposed method is superior to the calibration method based on the vanishing point when the radial distortion cannot be ignored. The experiments on real images show that its accuracy makes it suitable for practical applications.
付仲良, 周凡, 谢艳芳, 秦永. 基于像对基础矩阵的多像一维标定方法[J]. 光学学报, 2013, 33(6): 0615003. Fu Zhongliang, Zhou Fan, Xie Yanfang, Qin Yong. One-Dimensional Multi-Camera Calibration Based on Fundamental Matrix[J]. Acta Optica Sinica, 2013, 33(6): 0615003.