论文标题
平方相等的地图投影，具有低角度失真，最小尖和封闭形式的溶液
A Square Equal-area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-form Solutions
论文作者
论文摘要
提出了一种新型的正方形相等地图投影。该投影将封闭形式的前进和反溶液与相对较低的角畸变和最小牙齿结合在一起，这是任何先前发表的正方形相等面积投影所表现出的特性的组合。因此，新投影的角失真比任何先前发表的正方形相等面积投影都具有封闭形式的溶液的较低。新投影利用Quincuncial排列，将北极放置在广场的中心，并将南极在其四个角落之间划分。投影可以无缝铺有瓷砖。封闭式解决方案的存在使得该投影适用于制图和其他领域的实时可视化应用，例如显示全景图像。
A novel square equal-area map projection is proposed. The projection combines closed-form forward and inverse solutions with relatively low angular distortion and minimal cusps, a combination of properties not manifested by any previously published square equal-area projection. Thus, the new projection has lower angular distortion than any previously published square equal-area projection with a closed-form solution. Utilizing a quincuncial arrangement, the new projection places the north pole at the center of the square and divides the south pole between its four corners; the projection can be seamlessly tiled. The existence of closed-form solutions makes the projection suitable for real-time visualization applications, both in cartography and in other areas, such as for the display of panoramic images.
