极区高斯投影与通用极球面投影的直接变换  

Transformation between polar gauss projection and universal polar spherical projection

作　　者：张晓平 叶彤 李厚朴[2] 汪绍航 ZHANG Xiaoping;YE Tong;LI Houpu;WANG Shaohang(Center of Information Network,China University of Geosciences,Beijing 100083,China;Naval University of Engineering,Wuhan 430033,China)

机构地区：[1]中国地质大学(北京)信息网络中心,北京100083 [2]海军工程大学导航工程系,湖北武汉430043

出　　处：《海洋测绘》2023年第1期73-77,共5页Hydrographic Surveying and Charting

基　　金：国家优秀青年科学基金(42122025);国家自然科学基金(41871376,41971416)

摘　　要：针对极区海图制图对不同海图投影方式变换的需求,借助复变函数理论研究了极区非奇异高斯投影与通用极球面投影间的变换问题,推导出了两者间直接变换的复变函数表达式,在此基础上导出了两者间直接变换的实数公式。算例表明,使用复数表达式可以显著提高变换效率,两种形式的表达式可分别满足不同极区海图制图要求。To meet the demand for transformation of different chart projection methods in polar chart mapping,the transformation between polar non-singular Gauss Projection and Universal Polar Spherical projection is studied with the help of complex variable function theory,the complex transformation between these two projections are deduced.Based on these,the real number formula of the direct transformations between Polar non-singular Gauss Projection and Universal Polar Spherical Projection is derived.Numerical examples show that using complex expressions can significantly improve transformation efficiency,and the two forms of expressions can meet the requirements of different polar area charts.

关 键 词：地图投影 极区投影 高斯投影 通用极球面投影 解析变换 复变函数 

分 类 号：P282[天文地球—地图制图学与地理信息工程]