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, it is often necessary to realize the mutual conversion of the results in different coordinate systems, and the high precision conversion parameters are the basis for the completion of this work. The essence of obtaining datum conversion parameters is to use the coordinates of common points in two sets of coordinate systems and to establish error equations for solving them according to the principle of similarity transformation. The traditional LS- similarity transformation method only considers the errors of common points in a set of coordinate systems, which is not consistent with the actual situation. Based on this, this paper discusses the plane datum conversion method of coordinate parameterization, and solves the problem that Gao Si-Markov Gauss-Markovg G-M model does not hold when common points contain errors in both sets of coordinate systems, which is based on the principle of similarity transformation. The general least-squares method is used to calculate the datum conversion 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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