引用本文: 魏二虎, 殷志祥, 李广文, 李智强. 虚拟观测值法在三维坐标转换中的应用研究[J]. 武汉大学学报 ( 信息科学版), 2014, 39(2): 152-156.
WEI Erhu, YIN Zhixiang, LI Guangwen, LI Zhiqiang. ,doi:10.1016/j.pss.2013.04.005On 3DCoordinate Transformations with Virtual Observation Method[J]. Geomatics and Information Science of Wuhan University, 2014, 39(2): 152-156.
 Citation: WEI Erhu, YIN Zhixiang, LI Guangwen, LI Zhiqiang. ,doi:10.1016/j.pss.2013.04.005On 3DCoordinate Transformations with Virtual Observation Method[J]. Geomatics and Information Science of Wuhan University, 2014, 39(2): 152-156.

## ,doi:10.1016/j.pss.2013.04.005On 3DCoordinate Transformations with Virtual Observation Method

• 摘要: 目的 针对整体最小二乘(TLS)已有算法的缺陷,提出利用虚拟观测值法将其转化为经典最小二乘(LS),并推导了适用于三维坐标转换的矩阵矢量化公式,实现了TLS与LS的统一。通过算例证明了此方法在三维坐标转换中可以得到更为合理的解算数据。

Abstract: Objective Responding to the disadvantages existing in the total least squares algorithm(TLS),thevirtual observation method is employed to transform the TLS into a classical least squares algorithm(LS).Then,a matrix vectorization formula suitable for three-dimensional coordinate transformationis deduced.In this way,unification of LS and TLS is realized.As compared to other algorithms,thismethod has a stricter theory and simpler calculation process.A numerical test proves that a more rea-sonable transformation result can be obtained by using this method.

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈