%0 Journal Article
%T 高斯投影变形解析分析<br>Analytic Analysis of Gaussian Projection De-formation
%A 张思远
%A 边少锋
%A 周东权
%J Geomatics Science and Technology
%P 55-66
%@ 2329-7239
%D 2023
%I Hans Publishing
%R 10.12677/GST.2023.112007
%X 作为一种常用的等角投影方式，高斯投影被广泛用在大地测量学的各个应用领域中。传统的高斯投影方法将地球视为椭球体，其数学公式主要为经差的幂级数展开式，公式冗长且计算量大，计算精度不足，也不能很清晰地反映高斯投影的本质和投影变形规律。而将地球视为球体时，高斯投影与横墨卡托投影是等价的，因此高斯投影公式可表示为形式紧凑的闭合形式。针对传统方法中存在的问题，本文通过球面公式计算特殊点处的投影变形和一条6度带条带内的投影变形，以此分析高斯投影的投影变形规律。<br />
As a commonly used isometric projection, Gauss projection is widely used in various applications of geodesy. Regarding the earth as an ellipsoid, the traditional Gauss projection mathematical formu-la’s computation is too complex to clearly reflect the nature of Gauss’s projection and its distortion. When the Earth is considered a sphere, the Gauss projection is equivalent to the transverse Merca-tor projection, so the Gauss projection formula can be expressed as a compact closed form. In order to solve the problems in the traditional method, the projection deformation at a special point and the projection deformation in a 6-degree strip are calculated by the spherical formula in this paper, and the projection deformation rule of Gauss projection is analyzed.
%K 高斯投影，球面高斯投影，投影变形，长度比，子午线收敛角；Gauss Projection
%K Spherical Gauss Projection
%K Projection’s Deformation
%K Length Ratio
%K Meridian Con-vergence
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=63687