高阶径向畸变对张正友平面标定算法精度的影响

doi:10.3969/j.issn.1006-2475.2016.08.025

计算机与现代化

高阶径向畸变对张正友平面标定算法精度的影响

(中国科学院光电技术研究所六室，四川成都 610209)

收稿日期:2016-02-15 出版日期:2016-08-18 发布日期:2016-08-11
作者简介:游迪(1991-)，男，四川双流人，中国科学院光电技术研究所六室硕士研究生，研究方向：摄像机标定; 杨世洪(1961-)，男，研究员，硕士，研究方向：特种光电探测器(大面阵、高灵敏度、高速CCD和CMOS相机及芯片)。
基金资助:
国家自然科学基金资助项目(61501429)

Influence of High Order Radial Distortion on Accuracy of Zhang Zhengyou's Plane Calibration Algorithm

(Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China)

Received:2016-02-15 Online:2016-08-18 Published:2016-08-11

摘要/Abstract

摘要： 机标定是视觉测量工作中非常重要的一步。张正友教授提出的基于平面标定物的相机标定方法，是目前使用最广泛的方法之一。但张氏方法只考虑前两阶的径向畸变，因此，本文研究高阶径向畸变对张氏标定方法精度的影响。以棋盘格作为仿真模板，对其进行基于Matlab的仿真标定实验，求得不同径向畸变条件下标定结果的误差，并分析其关系。通过仿真实验结果分别绘制三阶径向畸变与标定误差的关系曲线及四阶径向畸变与标定误差的关系曲线。三阶径向畸变和四阶径向畸变对标定误差的影响十分相似，高阶径向畸变与标定误差关系曲线基本符合抛物线。同时，高阶径向畸变对二阶径向系数标定精度的影响远大于对一阶径向系数标定精度的影响。

关键词: 径向畸变, 相机标定, 张氏标定方法

Abstract: Machine calibration is a very important step in the work of visual measurement. The camera calibration method proposed by professor Zhang Zhengyou is one of the most widely used methods at present. But Zhang's method only considers the radial distortion of the first two steps, so this paper studies the influence of the high order radial distortion on the accuracy of the calibration method. We take the board grid as the simulation template, carry on the simulation calibration experiment based on Matlab, obtain the error of the calibration result under different radial distortion conditions, and analyze the relationship between them. In this paper, the relationship between the three order radial distortion and the calibration error and the curve of the relationship between the four order radial distortion and the calibration error are drawn. The influence of three order radial distortion and four order radial distortion on the calibration error is very similar. The curve of the high order radial distortion and the calibration error curve are basically in line with the parabola. At the same time, the influence of the higher order radial distortion on the calibration accuracy of the two order radial coefficient is much larger than that of the calibration precision of the first order radial coefficient.

Key words: radial distortion, camera calibration, Zhang's calibration method

中图分类号:

TP301.6

游迪，杨世洪，赵汝进，洪裕珍，颜坤. 高阶径向畸变对张正友平面标定算法精度的影响[J]. 计算机与现代化, doi: 10.3969/j.issn.1006-2475.2016.08.025.

YOU Di, YANG Shi-hong, ZHAO Ru-jin, HONG Yu-zhen, YAN Kun. Influence of High Order Radial Distortion on Accuracy of Zhang Zhengyou's Plane Calibration Algorithm[J]. Computer and Modernization, doi: 10.3969/j.issn.1006-2475.2016.08.025.

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高阶径向畸变对张正友平面标定算法精度的影响

Influence of High Order Radial Distortion on Accuracy of Zhang Zhengyou's Plane Calibration Algorithm

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