基于任意带高斯投影建立轨道交通控制网的方法研究  

Research on the Method of Constructing Rail Transit Control Network Based on Arbitrary Zone Gaussian Projection

作　　者：毕元[1,2] BI Yuan(Shanghai Surveying and Mapping Institute,Shanghai 200063,China;Key Laboratory of Spatio-temporal Big Data Analysis and Application of Natural Resources in Megacities,MNR,Shanghai 200063,China)

机构地区：[1]上海市测绘院,上海200063 [2]自然资源部超大城市自然资源时空大数据分析应用重点实验室,上海200063

出　　处：《测绘与空间地理信息》2023年第1期215-218,共4页Geomatics & Spatial Information Technology

摘　　要：建设城市轨道交通工程需要建立高精度平面控制网,在距离城市坐标系中央子午线较远的区域,会产生较大的高斯投影变形,导致平面控制网的理论边长与实测边长产生较大偏差。本文阐述了控制网边长变形的基本原理,并以上海郊区某轨道交通项目为例展开研究,确定了建立平面控制网的方法:首先,计算控制网原始坐标;然后,变换中央子午线计算控制网新坐标;最后,基于最小二乘准则通过平移、旋转三参数得到控制网最终坐标,通过数据演算对比,验证该方法有效,能够满足工程建设需求。The construction of urban rail transit project requires the high-accuracy horizontal control network.In the area far from the central meridian of the urban coordinate system,there will be large Gaussian projection deformation,resulting in a large deviation between the theoretical side length and the measured side length.This paper expounds the basic principle of the side length deformation of the control network,takes a rail transit project in the suburb of Shanghai as an example,and determines the method of establishing the horizontal control network:first,it calculates the original coordinates of the control network,then calculates the coordinates of the fixed point after the transformation of the central meridian,calculates the new coordinates based on the new central meridian and fixed point,and then obtains the final coordinates through translation and rotation.It is verified that the result matches the original coordinate system,meets the requirements of length deformation tolerance,and can meet the requirements of engineering construction through data calculation and comparison.

关 键 词：高斯投影变形 最小二乘准则 参数转换 仿射变换 

分 类 号：P224[天文地球—大地测量学与测量工程]