Parallels plane projection and its geometric features

作     者：ZHOU ChengHu1, MA Ting1, YANG Liao2 & QIN Biao3 1 State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences and Natural Re-sources Research, Chinese Academy of Sciences, Beijing 100101, China 2 Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, ürümqi 830011, China 3 Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China 

出 版 物：《Science China Earth Sciences》 (中国科学:地球科学(英文版))

年 卷 期：2007年第S1期

页      面：176-180页

学科分类：081603[工学-地图制图学与地理信息工程] 07[理学] 08[工学] 070503[理学-地图学与地理信息系统] 0705[理学-地理学] 0816[工学-测绘科学与技术] 

基　　金：Supported by the Knowledge Innovation Project of Chinese Academy of Sciences (No.KZCX3-SW-347) the National Natural Science Foundation of China (Grant No. 40571030) the National Science Fund for Distinguished Young Scholars (Grant No. 40225004) 

主　　题：map projection parallels plane projection projection distortion 

摘      要：A new equivalent map projection called the parallels plane projection is proposed in this paper. The transverse axis of the parallels plane projection is the expansion of the equator and its vertical axis equals half the length of the central meridian. On the parallels plane projection, meridians are projected as sine curves and parallels are a series of straight, parallel lines. No distortion of length occurs along the central meridian or on any parallels of this projection. Angular distortion and the proportion of length along meridians (except the central meridian) introduced by the projection transformation increase with increasing longitude and latitude. A potential application of the parallels plane projection is that it can provide an efficient projection transformation for global discrete grid systems.