光子学报, 2018, 47 (7): 0715001, 网络出版: 2018-09-16  

基于高阶奇次多项式模型的红外超广角图像中心标定

Infrared Ultra-wide Angle Image Distortion Centre Calibration Method Based on High Odd-order Polynomial Model
作者单位
陆军工程大学 石家庄校区 电子与光学工程系, 石家庄 050003
摘要
针对红外超广角系统成像畸变大、衍射明显, 传统标定方法精度不高的问题, 提出了一种基于高阶奇次多项式模型的红外超广角图像中心标定方法.以超广角镜头高阶奇次多项式模型为基础, 对微小圆形目标成像的径向与切向放大率进行分析, 设计了标定方法.利用椭圆方程对目标成像进行拟合, 然后以椭圆长短轴比值作为目标函数进行二维高斯曲面拟合, 最终将高斯曲面中心作为畸变中心.实验结果表明, 本文提出的红外超广角图像中心标定方法对实验畸变图像横纵方向的标定精度分别为0.77 pixels、1.02 pixels, 并以此标定结果对畸变图像进行校正, 校正图像中直线最大均方根误差为1.56 pixels.实验验证了本文提出的红外超广角图像中心标定方法的准确性, 能够满足红外超广角图像畸变中心标定要求.
Abstract
Due to the image distortion of the infrared ultra-wide angle system is large, the diffraction is obvious and the precision of traditional calibration method is not high, this article puts forward a kind of infrared ultra-wide angle image distortion centre calibration method based on the high odd-order polynomial model. The calibration method is designed by analyzing the radial and the tangential magnification of the small circular target. The ellipse equation is used to fit the target image, then two dimensional Gauss surface fitting is based on the ratio of the elliptical long and short axis as the objective function. Finally, the center of Gauss surface is regarded as the centre of distortion. The experimental results show that the calibration accuracy of the proposed method are 0.77 pixels and 1.02 pixels respectively. The distorted image is corrected by this calibration result. In the corrected image, the maximum root-mean-square-error of the line is 1.56 pixels. The experiment verifies the accuracy of the proposed infrared ultra-wide angle image center calibration method, which meets the requirements of the infrared ultra-wide angle image distortion center calibration.

刘秉琦, 陈一超, 黄富瑜. 基于高阶奇次多项式模型的红外超广角图像中心标定[J]. 光子学报, 2018, 47(7): 0715001. LIU Bing-qi, CHEN Yi-chao, HUANG Fu-yu. Infrared Ultra-wide Angle Image Distortion Centre Calibration Method Based on High Odd-order Polynomial Model[J]. ACTA PHOTONICA SINICA, 2018, 47(7): 0715001.

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