论探求地图投影的图形拓扑法

On the Graph-topological Methods in Map Projection Research

探讨地图投影一般应用微积分几何学,本文则应用拓扑几何学作一初步尝试。作者首先对一些文献进行了概括研究,认为所得的结果就经纬网形而言,均属于常见投影的范畴.然后提出了所要研究的新课题。其方法是,假设某一平面曲线(或直线)为经线(或纬线)的拓扑基,开■助于所给出的拓扑算子而进行着图形的拓扑变换。其结果不仅得出了可以概括常见投影的所谓仿投影,而且还得到了可能颇有应用价值的具有标准线型的一族新投影。

This paper makes a tentative study on map projection research by means of topological geometry. The author assumes a plane curve (or straight line) to be the topological base of meridian(or parallel),and then the graph—topological transformation is made by using a given topologicai operator, The result includes not only the so called affine projection of conventional projections,but also a new family of projections with standard shape which may be of potential practical value.