基于数字化天顶摄影仪的星图识别方法改进
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摘要
针对数字化天顶摄影仪的传统星图识别方法存在未考虑精调平状态下的小倾角,数据拟合模型参数解算不准确导致出现识别结果不准确的问题,对传统星图识别方法进行了改进。首先依据数字化天顶摄影仪的成像原理,构建了八参数数据拟合模型,消除了实际拍摄过程中小倾角带来的影响,提高了数据拟合的准确性;其次引入稳健估计原理,采用稳健加权总体最小二乘法解算模型的参数,抑制粗大误差对参数解的影响,更加彻底地剔除了粗差星。实验结果表明:改进后的星图识别方法可提高星图识别的准确性。
Star identification was improved to resolve the impact of small dip angle under precision leveling state,and to resolve the problem of inaccurate calculation of parameter. First,according to the imaging principle of digital zenith camera,a data fitting model of eight parameters was constructed. Secondly,according to the principle of robust estimation,the parameters of the model were solved through robust weighted total least squares. In this way,the effect of rough error on the parameter was suppressed and the gross star was eliminated more thoroughly.The experimental results show: the improved method can improve the accuracy of star identification.
Star identification was improved to resolve the impact of small dip angle under precision leveling state,and to resolve the problem of inaccurate calculation of parameter. First,according to the imaging principle of digital zenith camera,a data fitting model of eight parameters was constructed. Secondly,according to the principle of robust estimation,the parameters of the model were solved through robust weighted total least squares. In this way,the effect of rough error on the parameter was suppressed and the gross star was eliminated more thoroughly.The experimental results show: the improved method can improve the accuracy of star identification.
引文
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12闫国庆,孙同贺,燕志明.稳健再加权总体最小二乘法[J].工程勘察,2016(8):67-70Yan Guoqing,Sun Tonghe,Yan Zhiming.Robust re-weighting total least squares[J].Geotechnical Investigation&Surveying,2016(8):67-70
13龚循强,李志林.稳健加权总体最小二乘法[J].测绘学报,2014,43(9):888-893Gong Xunqiang,Li Zhilin.A robust weighted total least squares method[J].Acta Geodaetica et Cartographica Sinica,2014,43(9):888-893
14刘长健,马高峰.抗差Helmert方差分量估计及其应用[J].北京测绘,2002(1):16-19Liu Changjian,Ma Gaofeng,Robust helemert variance component estimation its application[J].Beijing Surveying and Mapping,2002(1):16-19
15杨元喜.参数平差模型的抗差最小二乘解[J].测绘通报,1994(6):33-35Yang Yuanxi.The least square solution of the parameter adjustment model[J].Bulletin of Surveying and Mapping,1994(6):33-35
2 Kerem H,Rasim D,Haluk O.Digital zenith camera system for astrogeodetic applications in turkey[J].Journal of Geodesy and Geoinformation,2012,1(2):8-14
3 Hirt C,Bürki B,Somieski A,et al.Modern determination of vertical deflections using digital zenith cameras[J].Journal of Surveying Engineering,2010,136(1):1-12
4田立丽,郭金运,韩延本,等.我国的数字化天顶望远镜样机[J].科学通报,2014,59(12):1094-1099Tian Lili,Guo Jinyun,Han Yanben,et al.Digital zenith telescope prototype of China[J].Chinese Science Bulletin,2014,59(12):1094-1099
5王博,田立丽,王政,等.数字化天顶望远镜观测图像及数据处理[J].科学通报,2014,59(12):1100-1107Wang Bo,Tian Lili,Wang Zheng,et al.The image and data processing in digital zenith camera[J].Chinese Science Bulletin,2014,59(12):1100-1107
6刘先一,周召发,张志利,等.基于天文定位的坐标转换方法研究[J].电光与控制,2016,23(1):11-14Liu Xianyi,Zhou Zhaofa,Zhang Zhili,et al.Research on the transformation of coordinates astronomical fixation[J].Electronics Optics&Control,2016,23(1):11-14
7郭敏,张红英.CCD数字摄影在天文定位测量中的应用探讨[J].测绘技术装备,2005,1(7):28-29Guo Min,Zhang Hongying.Discussion on the application of CCDdigital photography in astronomical positioning[J].Geomatics Technology and Equipment,2005,1(7):28-29
8张广军.星图识别[M].北京:国防工业出版社,2011:65-84Zhang Guangjun.Star identification[M].Beijing:Nation Defense Industry Press,2011:65-84
9曾文锋,李树山,王江安.基于仿射相似变换模型的图像配准中的平移、旋转和缩放[J].红外与激光工程,2001,30(1):18-20Zeng Wenfeng,Li Shushan,Wang Jiangan.Translation,rotation and scaling changes in image registration based affine transformation model[J].Infrared and Laser Engineering,2001,30(1):18-20
10 Schhaffrin B,Snow K.Total least-square regularization of tykhonov type and an ancient racetrack in corinth[J].Linear Algebra and Its Applications,2010,432(8):2061-2076
11赵景堂,杜国明,李海秀.基于总体最小二乘法的二位坐标转换方法[J].黑龙江工程学院学报,2015,29(1):21-24Zhao Jingtang,Du Guoming,Li Haixiu.A study of two dimensional coordinate transformation based on total least squares[J].Journal of Heilongjiang Institute of Technology,2015,29(1):21-24
12闫国庆,孙同贺,燕志明.稳健再加权总体最小二乘法[J].工程勘察,2016(8):67-70Yan Guoqing,Sun Tonghe,Yan Zhiming.Robust re-weighting total least squares[J].Geotechnical Investigation&Surveying,2016(8):67-70
13龚循强,李志林.稳健加权总体最小二乘法[J].测绘学报,2014,43(9):888-893Gong Xunqiang,Li Zhilin.A robust weighted total least squares method[J].Acta Geodaetica et Cartographica Sinica,2014,43(9):888-893
14刘长健,马高峰.抗差Helmert方差分量估计及其应用[J].北京测绘,2002(1):16-19Liu Changjian,Ma Gaofeng,Robust helemert variance component estimation its application[J].Beijing Surveying and Mapping,2002(1):16-19
15杨元喜.参数平差模型的抗差最小二乘解[J].测绘通报,1994(6):33-35Yang Yuanxi.The least square solution of the parameter adjustment model[J].Bulletin of Surveying and Mapping,1994(6):33-35