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-  2016 

坐标参数化的平面基准转换方法
A Method of Plane Datum Transformation by Coordinate Parameterization

DOI: 10.13203/j.whugis20140416

Keywords: 坐标参数化,基准转换,最小二乘,相似变换,G-M模型,
coordinate parameterization
,datum transformation,least squares,similarity transformation,G-M model

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Abstract:

工程测量中经常需要实现不同坐标系下成果的相互转换,而高精度的转换参数是完成这一工作的基础。获取基准转换参数的实质就是利用公共点在两套坐标系下的坐标,根据相似变换原理建立误差方程求解。传统的最小二乘(LS)相似变换法只考虑了公共点在一套坐标系下的误差,与实际情况不符。基于此,探讨了坐标参数化的平面基准转换方法,解决了考虑公共点在两套坐标系下坐标都含有误差时高斯-马尔科夫(Gauss-Markov,G-M)模型不成立的问题,以相似变换原理为基础,采取通用的最小二乘方法解算基准转换参数

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