Parallels plane projection and its geometric features |
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Authors: | Zhou ChengHu Ma Ting Yang Liao Qin Biao |
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Institution: | 1.State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences and Natural Resources 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 ; |
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Abstract: | 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. |
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