椭圆等面积伪圆柱投影族及其应用

Ellipse-longitude equivalent pseudo-cylindrical projection family and its applicability

椭圆等面积伪圆柱投影在中高纬度与远离中央经线地区角度变形较大是限制该投影应用的主要原因,因此改善角度变形是该投影研究的重点。本文根据椭圆等面积伪圆柱投影的原理,进一步完善了椭圆等面积伪圆柱投影族公式,并依此求得经线投影为椭圆中心不在坐标原点的非标准椭圆等面积伪圆柱投影,通过该投影与投影族中其他常用投影的变形对比,表明该投影的角度变形得到了改善;最后对该投影在我国世界全图数学基础设计中的适用性进行了分析。

Big angle distortion at regions of middle-high latitude and long distance from central meridian in ellipse-longitude equivalent pseudo-cylindrical projection is the main reason that confines the application of the projection,so ameliorating the angle distortion becomes an important aspect in the research.According to the principle of ellipse-longitude equivalent pseudo-cylindrical projection,the paper consummated the formula of ellipse-longitude equivalent pseudo-cylindrical projection family.From the formula,the non-standard ellipse-longitude equivalent pseudo-cylindrical projection was got,which ellipse center is not the origin of coordinates.Through the contrast on the angle distortion between the projection and others in the projection family,it was showed that the angle distortion was reduced by the method.Finally,it analyzed the applicability of this projection in the world map math foundation design of China.