不同比例尺下高斯投影面积变化研究  

Study on Gaussian Projection Area Change under Different Scale

作　　者：周烽松 刘紫平[1] 华亮春[1] ZHOU Fengsong;LIU Ziping;HUA Liangchun(Mapping and Science and Technology Investigation Institute of Hunan Province,Changsha 410007,China)

机构地区：[1]湖南省测绘科技研究所,湖南长沙410007

出　　处：《测绘与空间地理信息》2019年第1期76-79,共4页Geomatics & Spatial Information Technology

基　　金：长沙市2017年度第一批科技计划项目--长沙市北斗高精度导航定位工程技术研究中心(kq1701171)资助

摘　　要：高斯投影是等角横切椭圆柱投影,具有等角性质,面积与长度均存在一定变形。现选取1∶10 000与1∶2 000比例尺图幅为数据基础,计算椭球梯形面积图幅与高斯投影面面积的差值,分析中央子午线和投影高程面变化所带来的影响。结果表明:图幅距离中央子午线越远其面积变形越大;投影面高程越大,其相对于椭球面面积变形越大,呈线性变化;大比例图幅能较好地控制误差。Gaussian projection is Isometric crosscutting elliptic cylinder with isometric properties,there are certain in terms of area and length are.The ratio of 1∶10 000 and 1∶2 000 scale trapezoidal sheet is taken as the data foundation,through calculating ellipsoid trapezoidal map area and the Gaussian projection plane area difference,and the influence of the change of the central meridian and the projection plane elevation is analyzed.The results show that the farther distance from the central meridian,it area distortion is larger than the central meridian.The larger projection plane elevation,the more the deformation of the ellipsoid surface is linear variation.The large scale map can control the error better.

关 键 词：高斯投影 面积变形 中央子午线 投影面高程 

分 类 号：P23[天文地球—摄影测量与遥感]