坐标参数化的平面基准转换方法

发布时间：2018-04-24 21:04

本文选题：坐标参数化 + 基准转换　；参考：《武汉大学学报(信息科学版)》2016年10期

【摘要】：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。
[Abstract]:In engineering survey, the mutual conversion of the results in different coordinate systems is often needed, and the high precision conversion parameter is the basis for the completion of the work. The essence of obtaining the parameters of the datum conversion is to use the coordinates of the common points in the two sets of coordinates and to establish the error difference equation according to the principle of similar transformation. The traditional least squares (LS) similarity changes are made. It only considers the error of the common point in a set of coordinates, which is not consistent with the actual situation. Based on this, the plane datum conversion method of coordinate parameterization is discussed, and the problem that the Gauss Markoff (Gauss-Markov, G-M) model is not established when the coordinates of the common point are all contained in the coordinates of the two sets of coordinates are not established, and the similarity transformation principle is used. The general least squares method is used to solve the reference transformation parameters.

【作者单位】：西南交通大学地球科学与环境工程学院;
【基金】：长江学者和创新团队发展计划(IRT13092) “2011计划”轨道交通安全协同创新中心基金~~
【分类号】：P226.3

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