异面高斯投影变换与Excel VBA实现——以实数等角纬度为变换参数  

Gaussian Projection Transformation of Different Surfaces and Its Implementation in Excel VBA—Using Real Isometric Latitude as Transformation Parameters

作　　者：刘大海 方春波 陈永红 曾庆桂 陈永冰[3] 

机构地区：[1]深圳市地质局,广东 深圳 [2]深圳地质建设工程公司,广东 深圳 [3]海军工程大学电气工程学院,湖北 武汉

出　　处：《测绘科学技术》2025年第1期29-40,共12页Geomatics Science and Technology

基　　金：国家自然科学基金项目(42074010)。

摘　　要：随着我国工程建设的发展,对地球投影变换精度提出了更高的要求,尤其是高铁工程建设,其投影变换精度要求B表达的高斯变换式,本文给出了同一表达格式的基于等角纬度φ表达的高斯投影变换式。从实用角度出发,利用Excel VBA计算平台,以实数等角纬度为变换参数,采用大地坐标增量法及空间直角坐标法作为膨胀变换方法,开发了异面高斯投影变换宏,一键实现坐标的批量变换。椭球膨胀坐标偏位(Dx,Dy)主要由椭球长半轴增量da所贡献,且与da呈线性增长。With the development of engineering construction in our country, higher requirements have been put forward for the accuracy of earth projection transformation, especially for high-speed railway engineering construction, which requires a projection transformation accuracy of B, this article presents a Gaussian projection transform expression based on equiangular latitude φ expression using the same expression format. From a practical perspective, using the Excel VBA computing platform, taking real isometric latitude as the transformation parameter, and adopting the geodetic coordinate increment method and spatial Cartesian coordinate method as the expansion transformation method, different surface Gaussian projection transformation macros were developed to achieve batch transformation of coordinates with one click. The offset (Dx,Dy)of ellipsoidal expansion coordinates is mainly contributed by the increment daof the ellipsoidal semi axis, and it increases linearly with da.

关 键 词：椭球 异面 高斯投影 等角纬度 大地坐标 直角坐标 空间坐标 Excel VBA 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]