大地测量与地球动力学2018，Vol.38Issue(2)：216-220,5.DOI:10.14075/j.jgg.2018.02.022
加权整体最小二乘的验后估计在三维坐标转换中的应用
The Application of the Posterior Estimation on Weighted Total Least-Squares to Three Dimensional-Datum Transformation
王祝安 1陈义 1毛鹏宇2
作者信息
- 1. 同济大学测绘与地理信息学院,上海市四平路1239号,200092
- 2. 现代工程测量国家测绘地理信息局重点实验室,上海市四平路1239号,200092
- 折叠
摘要
Abstract
When solving EIV model for the three-dimensional small-angle coordinates transformation,the weight matrix of observation vector and coefficient matrix may be inaccurate because of the difference between their unit weight variances.So,the Helmert variance components estimation method is applied to resolve the problem with posterior estimation in the weighted total least squares (WTLS).Thus,the weight matrix of observation vector and coefficient matrix should be redistributed,so that the calculation model will be more reasonable.The calculated example proves that the new method can improve the precision of the coordinate transformation parameters and the parameter estimations are closer to true values.关键词
三维坐标转换/加权整体最小二乘/验后估计/方差分量Key words
three-dimensional datum transformation/weighted total least squares (WTLS)/posterior estimation/variance components分类
天文与地球科学引用本文复制引用
王祝安,陈义,毛鹏宇..加权整体最小二乘的验后估计在三维坐标转换中的应用[J].大地测量与地球动力学,2018,38(2):216-220,5.
