等距离正圆柱投影世界挂图上大圆航线的绘制  

A M ethod for Plotting Great Circle Route on Equidistance Cylindrical Projection World Chart

作　　者：彭认灿[1,2] 张志衡[1,2] 董箭[1,2] 褚永磊[1,2,3] 

机构地区：[1]海军大连舰艇学院海洋测绘系,辽宁大连116018 [2]海洋测绘工程军队重点实验室,辽宁大连116018 [3]海军出版社,天津300450

出　　处：《海洋测绘》2016年第2期30-33,49,共5页Hydrographic Surveying and Charting

基　　金：国家自然科学基金(41471380)

摘　　要：针对世界挂图上全球任意两点间大圆航线绘制存在的问题,通过总结当前几种常用于大圆航线绘制的世界挂图投影存在的不足,提出采用等距离正圆柱投影作为世界挂图投影并分析其适用性。从大圆航线在等距离正圆柱投影中的方程及其曲率入手,按照计算机制图中"以直代曲"的研究思路,给出了一种在等距离正圆柱投影世界挂图上绘制大圆航线的方法,最后以我国南极科考航线所需参考的大圆航线绘制实例验证了该方法的可行性与实用性。Aiming at the problem that the great circle route between any two points cannot be described on the current world chart,the paper summarizes the disadvantages of the current word chart projections in plotting great circle route and adopts equidistance cylindrical projection as the projection of the world chart and analyzes its applicability. Based on equidistance cylindrical projection,the equation calculating the great circle route is established and the curvature of the great circle route is also analyzed.By using the thought of ＂plotting curves by straight lines＂in computer graphics,the paper puts forward the method of plotting the great circle route on equidistance cylindrical projection world chart.Finally,the paper sets the great circle route plotting for Antarctic research route as an example to validate the feasibility and practicality of the method.

关 键 词：海图制图 等距离正圆柱投影 世界挂图 大圆航线 以直代曲 绘制 

分 类 号：P282[天文地球—地图制图学与地理信息工程]