基于Poncelet定理的相机参数简易标定法

摘要

针对目前常用的摄像机标定方法需要参数分解及参数间耦合所带来的问题，根据Poncelet定理以代数方法推导了平面透视投影的中心线方程，分析了中心线与摄像机内参数主点的位置关系，研究了一种基于平面透视投影中心线的标定方法。利用该方法不仅可以避免单应矩阵参数分解，而且解除了主点、焦距和透镜畸变之间的耦合效应，从而提高了标定效率。实验表明该方法标定过程简易、精度较高，优于目前典型的简易标定法。%As parameter decomposition and parameter coupling need to be solved for the common camera calibration methods,the center line equation of the plane perspective projection was derived based on Poncelet theorem,and the relation between the center line and the principal point position in camera was analyzed,so a calibration method based on the plane perspective projection center line was proposed.This method can avoid the decomposition of homography matrix and remove coupling effect among the principal point,focal length and lens distortion to improve calibration ef-ficiency.The experimental results show that this method is simple and its precision is higher,superior to the current typical calibration methods.