非线性最小二乘法在工程测量坐标系统转换中的应用  

Application of Nonlinear Least Square Method in the Transformation of Engineering Surveying Coordinate Systems

作　　者：刘洪志 刘莉鑫 LIU Hongzhi;LIU Lixin(Zhongtong Dadi Space Information Technology Co.,Ltd.,Harbin Branch,Harbin 150028,China;Heilongjiang Provincial Society of Surveying and Mapping Geographic Information,Harbin 150081,China)

机构地区：[1]中通大地空间信息技术股份有限公司哈尔滨分公司,黑龙江哈尔滨150028 [2]黑龙江省测绘地理信息学会,黑龙江哈尔滨150081

出　　处：《测绘与空间地理信息》2023年第4期186-188,192,共4页Geomatics & Spatial Information Technology

摘　　要：针对大型工程测量项目,工程坐标系直接转换为WGS-84或CGCS2000坐标系的过程中,传统方法效率不高,而且经过多次旋转造成误差传递等问题,本文提出一种基于非线性最小二乘法的算法,可避免误差的传递,减少循环次数,保证转换精度,提高运行速度。首先介绍在大型工程测量项目中坐标系的转换场景,然后介绍传统的坐标系转换方法,并分析其利弊,最后论述利用非线性最小二乘法解决工程测量坐标系转换的可行性,并模拟转换数据,避免数据发散。In the process of directly transforming engineering coordinate systems into WGS-84 or CGCS2000 coordinate system in large-scale engineering measurement projects,the efficiency of traditional methods is not high,and error propagation is caused by multiple rotations.This paper proposes an algorithm based on nonlinear least square method,which avoids error propagation,reduces the number of cycles,ensures the transformation accuracy,and improves the running speed.This paper first introduces the transformation scene of coordinate system in large-scale engineering survey projects,then introduces the traditional coordinate system transformation method,analyzes its advantages and disadvantages,and finally discusses the feasibility of using nonlinear least square method to solve the transformation of engineering survey coordinate systems,and simulates the transformed data to avoid data divergence.

关 键 词：最小二乘法 工程测量 坐标系转换 

分 类 号：P282.2[天文地球—地图制图学与地理信息工程]