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二维旋转平台下的相机参数标定

Camera parameter calibration based on two-dimensional rotating platform

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摘要

针对可旋转相机的参数标定问题, 提出了一种基于二维旋转平台的相机成像模型。首先,通过一对坐标系的变换与逆变换, 将相机的旋转平移变换关系转换为二维旋转平台纯旋转关系;然后,借助旋转平台读数以及相机到旋转平台的固定变换关系, 实现相机内参的精确标定以及任意位置间相机外参的相互转换;最后,利用标定出的相机与旋转平台间变换矩阵实现不同位置相机参数的转换。相比于传统固定相机的标定方法, 本文提出的方法标定获得的相机内参具有更好的收敛性, 而且能够标定出相机到旋转平台的变换矩阵, 从而实现相机坐标系变换参数的精确计算。实验结果表明, 在标定模板图像数量相同时, 与常用的张氏标定法相比, 本文提出的方法标定获得的相机内参具有更快的收敛速度。棋盘格角点重投影坐标与实际拍摄图像中棋盘格角点坐标相对比, 平均误差约为0.12 pixel, 表明该方法具有较高精度。

Abstract

A camera imaging model based on two-dimensional rotating platform was proposed in order to solve the problem of parameter calibration for rotatable camera. Firstly, through the transformation and inverse transformation of coordinate systems, the rotation translation transformation of the camera was converted to the pure rotation motion of the two-dimensional rotating platform; Then, taking advantages of the readings of the rotating platform and the fixed transformation between camera and rotating platform, accurate calibration for internal parameters of the camera and mutual transformation for the extrinsic parameters at optional position of the camera were realized; Finally, taking advantages of calibrated transformation matrix between the camera and the rotating platform, the transformation of camera parameters at different positions were realized. Comparing with the traditional calibration method for the fixed camera, internal parameters of the camera obtained from the calibration method proposed have better convergence, and the transformation matrix from the camera to the rotating platform could be calibrated in order to realize accurate calculation for transformation parameters on the coordinate system of the camera. The experimental result shows that when the quantity of calibrated template images are identical, comparing with the common Zhang's calibration, internal parameters of the camera obtained from the calibration method proposed have faster convergence rate. Comparing with x-comers coordinate in actual shooting images, the average error of the x-comers re-projection coordinate is about 0.12 pixel, which shows the method has higher accuracy.

Newport宣传-MKS新实验室计划
补充资料

中图分类号:TP394.1

DOI:10.3788/ope.20172507.1890

所属栏目:信息科学

基金项目:国家自然科学基金面上项目(No.61675099); 国家自然科学基金资助项目(No.61271332); 江苏省基础研究计划青年基金资助项目(No.BK20130769)

收稿日期:2017-01-12

修改稿日期:2017-03-20

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作者单位    点击查看

顾国华:南京理工大学 电子工程与光电技术学院, 江苏 南京 210094
王佳节:南京理工大学 电子工程与光电技术学院, 江苏 南京 210094
陈 钱:南京理工大学 电子工程与光电技术学院, 江苏 南京 210094
钱惟贤:南京理工大学 电子工程与光电技术学院, 江苏 南京 210094

联系人作者:王佳节(njustwangjiajie@foxmail.com)

备注:王佳节(1993-), 男 , 安徽芜湖人, 硕士研究生, 2015年于南京理工大学电子工程与光电技术学院获得学士学位, 现为南京理工大学电子工程与光电技术学院在读硕士生, 主要从事图像处理方面的研究。

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引用该论文

GU Guo-hua,WANG Jia-jie,CHEN Qian,QIAN Wei-xian. Camera parameter calibration based on two-dimensional rotating platform[J]. Optics and Precision Engineering, 2017, 25(7): 1890-1899

顾国华,王佳节,陈 钱,钱惟贤. 二维旋转平台下的相机参数标定[J]. 光学 精密工程, 2017, 25(7): 1890-1899

被引情况

【1】徐秋宇,杨凌辉,牛志远,刘博文,张正吉,邾继贵. 精密角度基准下的多相机定位系统高精度标定. 光学学报, 2019, 39(1): 115001--1

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