基于最小二乘配置的光学镜头畸变校正方法

何子清; 葛超; 王春阳

doi:10.3788/YJYXS20193403.0302

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基于最小二乘配置的光学镜头畸变校正方法

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- 基于最小二乘配置的光学镜头畸变校正方法
- Optical lens distortion correction method based onleast square configuration
- 液晶与显示 2019年34卷第3期页码：302-309
- 作者机构：
  
  中国白城兵器试验中心, 吉林白城 137001
- 作者简介：
  
  [ "何子清(1972-), 男, 吉林柳河人, 学士, 高级工程师, 1998年于武汉大学获得学士学位, 主要从事弹道终点坐标测试的研究。E-mail:hz61783@163.com@126.com" ]
  [ "葛超(1982-), 女, 吉林白城人, 学士, 工程师, 2008年于吉林大学获得学士学位, 主要从事测控技术的研究。E-mail:daya9527@126.com" ]
- 基金信息：
- DOI：10.3788/YJYXS20193403.0302
  中图分类号： TB851.5
- 收稿日期：2018-09-12，
  
  录用日期：2018-12-24，
  
  纸质出版日期：2019-03
- 稿件说明：
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何子清, 葛超, 王春阳. 基于最小二乘配置的光学镜头畸变校正方法[J]. 液晶与显示, 2019,34(3):302-309.

Zi-qing HE, Guo-dong YU, Chun-yang WANG. Optical lens distortion correction method based onleast square configuration[J]. Chinese journal of liquid crystals and displays, 2019, 34(3): 302-309.
何子清, 葛超, 王春阳. 基于最小二乘配置的光学镜头畸变校正方法[J]. 液晶与显示, 2019,34(3):302-309. DOI： 10.3788/YJYXS20193403.0302.

Zi-qing HE, Guo-dong YU, Chun-yang WANG. Optical lens distortion correction method based onleast square configuration[J]. Chinese journal of liquid crystals and displays, 2019, 34(3): 302-309. DOI： 10.3788/YJYXS20193403.0302.

摘要

针对靶场使用的光学镜头畸变校正方法错误地将似系统误差当作偶然误差处理，并且只能在局部区域对畸变值曲面进行拟合，无法用一个曲面函数精确描述畸变值整体变化特征等问题，提出了一种基于多面函数的最小二乘配置法，该方法首先用多面函数拟合最小二乘配置的趋势项，然后，利用拟合后残差求得经验协方差函数的未知参数，进而得到协方差矩阵，最后，通过配置法求解待校正点的修正值。通过使用本文方法和传统方法分别对炸点坐标测试系统的光学经纬仪进行畸变校正，证明本文方法的有效性和可行性。实验结果表明：相比于传统方法，本文方法能从整体上反映畸变值的整体连续变化趋势，去除趋势项后得到的随机变化部分也较平稳；校正精度在水平和垂直方向上分别提高了19.6"和10.9"，达到11.7"和7.7"。通过对实验数据的分析与验证，证明了本文方法能有效提高光学测试设备的测角精度，可为靶场大视场光学镜头的畸变校正提供参考依据。

Abstract

The optical lens distortion correction method used in shooting range treats Quasi systematic error as the accidental error

and can only fit distorted curve in the local region

can not use a curved surface function to describe the problems such as the whole change characteristics of distortion accurately. To solve this problem

a method of least square collocation based on polyhedral function was proposed. Firstly

the method used polyhedral function to fit the trend term of the least squares collocation. Then

the unknown parameters of the empirical covariance function were obtained through the fitted residuals

and the covariance matrix was obtained. Finally

the correction value of the points to be corrected was solved by the collocation method. By using this method and traditional method to do the distortion correction of optical theodolite in the burst point coordinate test system partly

the results prove the effectiveness and feasibility of this method. The experimental results show that

compared with the traditional method

the proposed method can reflect the overall continuous change trend of the distortion value by using polyhedral function on a whole. The correction accuracy is increased by 19.6 "and 10.9" in the horizontal and vertical directions

respectively

to 11.7 "and 7.7". Through the analysis and verification of the experimental data

which proved that this method can effectively improve the measurement accuracy of optical testing equipment

to provide reference for correcting the distortion of wide field optical lens in shooting range.

关键词

Keywords

references

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