摘要
提出了一种求解摄像机内参数的方法.首先从空间单个矩形的图像获得含参数r的圆环点图像,其中,r为该矩形的长宽比;进而根据圆环点对摄像机内参数约束获得一组非线性方程;通过求解一个次数为3的多项式方程的正根,把非线性方程组转化为线性方程组,从而确定摄像机的内参数.同时,给出了此约束方程组具有惟一解的充要条件.实验结果表明,所给出的方法具有较高的求解精度.
A method for determining camera intrinsic parameters is presented. First, the images of the two circular points are derived from the images of a single rectangle in space. The acquired images contain the parameter r, the ratio of the lengths of two adjacent sides of the rectangle. Then according to the constraints of the circular points on the camera intrinsic parameters, a group of nonlinear equations are contructed. By solving a positive root of a polynomial equation with degree three, the nonlinear constraints are turned into linear constraints determine the camera intrinsic parameters. In addition, the necessary and sufficient condition for the constraint system with a unique solution is also provided. Experimental results show the high accuracy of the approach.
基金
国家自然科学基金(60473102)
安徽省教育厅自然科学重点项目(2005KJ005ZD)
安徽大学211工程学术创新团队资助
关键词
摄像机内参数
圆环点
单应矩阵
camera intrinsic parameters
circular point
homography matrix
