Error analysis of the 3D similarity coordinate transformation

被引：0
作者：
Guobin Chang
Tianhe Xu
Qianxin Wang
机构：
[1] China University of Mining and Technology,School of Environmental Science and Spatial Informatics
[2] Shandong University,Institute of Space Science
[3] Xi’an Research Institute of Surveying and Mapping,State Key Laboratory of Geo
来源：
GPS Solutions | 2017年 / 21卷
关键词：
3D coordinate transformation; Similarity transformation; Gauss–Helmert model; Weighted least-squares; Error analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The 3D similarity coordinate transformation with the Gauss–Helmert error model is investigated. The first-order error analysis of an analytical least-squares solution to this problem is developed in detail. While additive errors are assumed in the translation and scale estimates, a 3 × 1 multiplicative error vector is defined to effectively parameterize the rotation matrix estimation error. The propagation of the errors in the coordinate measurements to the errors in the estimated transformation parameters is derived step-by-step, and the formulae for calculating the variance–covariance matrix of the estimated parameters are presented.
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页码：963 / 971
页数：8
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