光子学报, 2016, 45 (3): 0312001, 网络出版: 2016-04-01
相机内参量及像差系数与外参量的解耦标定方法
A Calibration Method for Camera Intrinsic Parameters and Image Distortion Decoupling with Extrinsic Parameters
计算机视觉 应用光学 相机标定方法 标定程序 解耦标定 无穷远点 Computer vision Optics application Camera calibration methods Calibration procedures Decoupled calbiration Infinite point
摘要
基于无穷远点与相机内参量关系,提出了一种相机内参量及像差系数与外参量解耦标定方法.首先,根据平面单应计算绝对二次曲线在像面的投影方程,线性求解相机内参量;然后,将重投影像点视为理想像点线性求解像差系数,并计算像点重投影误差;最后,将序列图像的平面单应作为待优化参量,以最小化像点重投影误差为目标函数,重复上述过程,输出最优的相机内参量和像差系数.在相同配置下,分别对本文方法和张正友平面靶板标定方法的标定准确度进行仿真与对比分析.基于不同姿态和位置的27幅棋盘格图片,分别利用这两种方法对相机内参量进行标定实验.实验结果表明:与张正友平面靶板标定方法相比,本文方法的标定准确度提高了至少1%;在实物实验中,张正友平面靶板标定方法和本文方法的重投影残差分别为0.064像素和0.008像素.
Abstract
Based on the relationship between infinite points and camera intrinsic parameters, a calibration method for camera intrinsic parameters and image distortion was proposed, which can realize a decoupled calibration among intrinsic parameters, image distortion and extrinsic parameters. First, solving camera intrinsic parameters from the projective equations of image of absolute quartic. Second, taking a reprojected point as an ideal image point and solving image distortion coefficient. Third, taking homography among sequence images as parameters to be optimized and taking reprojection error as cost function, then the final outputting results include camera intrinsic parameters and image distortion coefficients. Under the identical configurations, the calibration precisions of the proposed method and Zhang′s method were simulated respectively and compared together. By using the 27 views of planar objects with different pose, the calibration experiment for the camera intrinsic parameters was conducted by the proposed method and Zhang′s method respectively. The results show that, the calibration precision of the proposed method is improved at least 1% to compare with Zhang′s method. In the calibration experiment, the reprojection error of Zhang′s method and proposed method is 0.064pixel and 0.008pixel respectively.
刘进博, 张小虎, 于起峰. 相机内参量及像差系数与外参量的解耦标定方法[J]. 光子学报, 2016, 45(3): 0312001. LIU Jin-bo, ZHANG Xiao-hu, YU Qi-feng. A Calibration Method for Camera Intrinsic Parameters and Image Distortion Decoupling with Extrinsic Parameters[J]. ACTA PHOTONICA SINICA, 2016, 45(3): 0312001.