球面菱形网格递归剖分方法研究

Study on Sphere Rhombus Grid Recursive Subdivision

提出一种结合经纬线并且用正多面体逐级递归的思想对球面直接剖分的方法,该方法无需内接多面体和投影,剖分单元采用近似菱形,可以实现球面任意分辨率的无缝、无重叠剖分。每个剖分单元的顶点和中心点对应的地理坐标都容易求得,从而使剖分单元的编码与地理坐标之间的转换相对简单。

In this paper, a new method of global subdivision is proposed, which combines longitude and latitude and also the thinking of regular polyhedron＇s recursive subdivision. It subdivides the earth directly on the sphere, with no internal polyhedron and no projection, using similar rhombus as subdivision units. The method can achieve a seamless sphere without-overlapping, with any resolution adopted subdivision. As the corresponding geographic coordinates of each unit＇s vertexs and the focal point are easy to calculate, the conversion between subdivision unit＇s coding and geographical coordinates is relatively simple.