中文摘要：

基于一维标定杆的摄像机标定是一种重要的标定方法.在已有的文献中,几乎所有的一维标定方法均需要一维标定杆在运动前后处于同一平面内,从本质上说,运动前后的一维标定杆等价于一种二维标定物.从射影几何的观点看,由于空间平面与图像平面之间的单应矩阵包含了所有的摄像机的内外参数信息,因此从理论上说,已有的一维标定方法所得到的关于对摄像机内参数的约束应该从单应矩阵的角度同样可以得到.文中对上述问题进行了尝试,得到了与文献中等价的关于内参数的约束.

英文摘要：

1-D calibration is an important camera calibration method.In the literatures,almost all the 1-D calibration methods need the 1-D calibration object to move within a space plane.As a result,the 1-D calibration object,before and after the planar motion,is equivalent to a 2-D calibration object.From the point of projective geometry,as the homography between the image plane and object plane encapsulates all the information of the intrinsic and extrinsic parameters of the camera,those constraints of 1-D calibration,from various methods in the literatures,could be also derived from homography.In this work,1-D calibration is reinvestigated via the homography,and equivalent constraints are obtained.