总体最小二乘方法在空间后方交会中的应用

¹同济大学测量与国土信息工程系,上海市四平路1239号200092;²山东省基础地理信息与数字化技术重点实验室,青岛市经济技术开发区前湾港路579号,266510;³现代工程测量国家测绘局重点实验室,上海市四平路1239号,200092

基金项目: 山东省基础地理信息与数字化技术重点实验室开放研究基金资助项目(SD060813)

详细信息

Application of Total Least Squares to Space Resection

¹Department of Surveying and Geo-Informatics Engineering,Tongji University,1239 Siping Road,Shanghai 200092,China;²Key Laboratory of Geomatics and Digital Technology,Shandong Province,579 Qianwangang Road,Qingdao 266510,China;³Key Laboratory of Advanced Surveying Engineering of State Bureau of Surveying and Mapping,1239 Siping Road,Shanghai 200092,China

Funds: 山东省基础地理信息与数字化技术重点实验室开放研究基金资助项目(SD060813)

摘要: 在空间后方交会的解算过程中,利用共线条件方程式列出误差方程后,针对地面控制点以及像点坐标均存在误差这一特点,引入总体最小二乘(total least squares,TLS)的方法,对系数矩阵A以及观测向量b同时进行改正,计算像片的6个外方位元素,建立更加合理的计算模型,可获得精度更高、更稳定的解。
- 总体最小二乘(TLS) /
- 空间后方交会 /
- 外方位元素
Abstract: In space resection computing,the error equations are based on the collinearity equations.Because the coordinates of the ground point and the image point all exist errors.So total least squares(TLS) method is used.The method of TLS is one of several linear parameter estimation techniques that have been devised to compensate for data errors.Furthermore,TLS is the method of fitting that is appropriate when there are errors in both the observation vector b and the variable matrix A.So it can establish a more practical and suitable model so-called error-in-variables model.On the basis of this model,the errors in the observation vector b(e) and the variable matrix A(EA) can be corrected at the same time.
- total least squares /
- space resection /
- exterior orientation elements