高斯投影对长度变形的影响及自动化解算方法  

Effect of Gaussian Projection on Length Deformation and Its Automatic Solution

作　　者：盛浩润 宫雨生[1] 车奇峰 宋思璇 王菲 SHENG Haorun;GONG Yusheng;CHE Qifeng;SONG Sixuan;WANG Fei(School of Civil Engineering,University of Science and Technology Liaoning,Anshan 114051,China)

机构地区：[1]辽宁科技大学土木工程学院,辽宁鞍山114051

出　　处：《测绘与空间地理信息》2024年第2期36-38,共3页Geomatics & Spatial Information Technology

基　　金：2022年国家级大学生创新创业训练计划项目(202210146017);教育部产学合作协同育人项目(220802313191955);2020年辽宁科技大学教学改革研究项目(XJGXX202023)资助。

摘　　要：为研究由高程和投影引起的长度变形对测绘工程的影响程度,文中首先采用理论分析的方法,得出在工程测量中当测区平均高程大于159 m时,必须考虑由高程产生的长度变形;测区距中央子午线小于45 km时,无需考虑由投影产生的长度变形。接着整理了高斯投影的公式并利用MATLAB AppDesigner编写了可视化程序,实现了任意椭球参数下的高斯投影正算、反算与邻带坐标换算,并用商用软件进行了验证,证明了程序的可行性。In order to study the influence of the length deformation caused by elevation and the length deformation caused by projection on the surveying engineering,this paper firstly uses the theoretical analysis,and gets that the length deformation caused by elevation must be considered when the average elevation of the surveying area is greater than 159m in engineering survey,and the length de-formation caused by projection does not need to be considered when the surveying area is less than 45km from the central meridian.Then,the formula of Gaussian projection is sorted out and the visualization program is written by MATLAB AppDesigner,and the Gaussian positive operator,Gaussian inverse operator and adjacent coordinate conversion of Gaussian projection under arbitrary ellip-soid parameters are realized.It is verified with commercial software,and the feasibility of the program is proved.

关 键 词：投影 长度变形 高斯正算 高斯反算 换带计算 MATLAB AppDesigner 

分 类 号：P209[天文地球—测绘科学与技术]