顾及物方坐标误差的张正友标定算法  

Zhang Zhengyou’s Calibration Algorithm with consideration of Object-squared Coordinate Errors

作　　者：瞿锴 郭中佑 唐育林 陈抒录 陈朋明 QU Kai;GUO Zhongyou;TANG Yulin;CHEN Shulu;CHEN Pengming(China Machinery International Engineering Design&Research Institute Co.,Ltd,Changsha 410021,China;School of Civil Engineering and Mechanics,Xiangtan University,Xiangtan 411100,China;Xiangtan Institute of Surveying Designing,Xiangtan 411100,China)

机构地区：[1]中机国际工程设计研究院有限责任公司,长沙410021 [2]湘潭大学土木工程学院,湖南湘潭411100 [3]湘潭市勘测设计院,湖南湘潭411100

出　　处：《西北水电》2022年第6期79-84,共6页Northwest Hydropower

基　　金：湖南省自然科学基金项目(14JJ7039)。

摘　　要：针对传统张正友相机标定算法未顾及系数矩阵偶然误差的问题,引入以变量误差模型为基础的整体最小二乘平差方法以提高其解算结果精度,同时开发相机参数计算软件以提高解算效率。先以尼康D800为例,使用控制变量法分析相片数量和拍摄角度对参数解算精度的影响,确定相片数量和拍摄方式后,将改进前后的张正友标定算法在尼康D800和索尼ILCE-7R两种常用非量测型相机上开展实验。结果表明:随着相片数量的增加,解算精度不会一直提高,而是逐渐趋于平稳;不同角度拍摄的相片参与解算比单一角度的精度更高;与传统算法相比,采用整体最小二乘得到的参数精度更好。可为相关生产单位的相机检校工作提供有用的价值参考。Aiming at the problem that the traditional Zhang Zhengyou camera calibration algorithm does not take into account the accidental error of the coefficient matrix,the overall least squares leveling method based on the variable error model is introduced to improve the accuracy of the solution results,and the camera parameter calculation software is developed to improve the solution efficiency.Taking the Nikon D800 as an example,the influence of the number of photos and shooting angle on the parameter solving accuracy is analyzed by using the control variable method,and after determining the number of photos and shooting method,the Zhang Zhengyou calibration algorithm before and after the improvement is applied on the Nikon D800 and Sony ILCE-7R,two commonly used non-measurement cameras.The results show that with the increase of the number of photos,the solution accuracy does not continuously increase,but gradually level off.Photos taken from different angles participate in the solution with higher accuracy than those taken from a single angle;Compared with the traditional algorithm,the parameter accuracy obtained by using the overall least squares is better.The study results can provide a useful value reference for the camera calibration work of the relevant production units.

关 键 词：相机检校 张正友标定算法 整体最小二乘 单应性矩阵 

分 类 号：P237[天文地球—摄影测量与遥感]