摘要
针对海图制图中墨卡托投影以投影区域中纬线作为基准纬线投影变形大的问题,分别在投影区域长度变形最小、面积变形最小和边纬线长度变形相等的条件下确定最佳基准纬度。以北半球为例,3种条件下确定的基准纬度均大于中纬度,南北纬度差为10°、20°、30°、40°时,与中纬度差值最大分别为2.0936°、5.0621°、9.1315°、13.5536°。3种条件下确定的基准纬度分别有最小的整体长度变形、整体面积变形以及长度最大变形,可根据不同需求选取合适的基准纬度。
Due to the large deformation of Mercator projection, if taking the mid-latitude as the standard parallel, the standard parallel is determined under the condition that length deformation is minimal, area deformation is minimal and the length deformation of the edge latitude line is equal.Taking the northern hemisphere as an example, the standard parallel determined under the three conditions is greater than the middle latitude.When the latitude range is 10°,20°,30° and 40°,the maximum difference value from the middle latitude is 2.0936°,5.0621°,9.1315° and 13.5536° respectively.The length and area deformation and the maximum deformation are improved respectively.Therefore, a suitable standard parallel can be selected according to different needs.
作者
叶彤
黄毅
焦晨晨
金立新
YE Tong;HUANG Yi;JIAO Chenchen;JIN Lixin(Department of Navigation,Naval University of Engineering,Wuhan 430033,China;91001 Troops,Beijing 100841,China;School of information and engineering,China University of Geosciences,Wuhan 430074,China;The General Engineering Survey Institute of Railways of Gansu Co.Ltd.,Lanzhou 730000,China)
出处
《海洋测绘》
CSCD
北大核心
2021年第1期41-46,共6页
Hydrographic Surveying and Charting
基金
国家自然科学基金(41871376,41971416,41771487)
湖北省杰出青年科学基金(2019CFA086)。
关键词
海图制图
地图投影
墨卡托投影
投影变形
基准纬线
charting
map projection
Mercator projection
projection distortion
standard parallel
