Voronoi图用于确定城市经济影响区域的空间组织

确定城市经济影响区域的空间组织是一项十分复杂的工作，在区域规划和城市规划中有着重要的理论和实际意义。目前，通常是利用数理统计的方法进行城市的分级，并以此来确定区域中的中心城市，未充分考虑区域空间中城市之间的竞争关系；确定城市经济影响区域时，往往采用断裂点公式来划定两两城市之间的分界线，当城市的数量较多时，这种方法有困难且工作十分繁杂。本研究提出可以用Voronoi图来确定各级城市的空间影响区，并利用Voronoi多边形邻居关系的性质来确定城市体系中不同等级城市之间的空间组织关系、

The application of Voronoi diagram on spatial organizing of urban influence regions

The work to define spatial relationship among urban economic influence regions is a quite difficult issue, but an important job to urban geography and urban planning. In the previous research, it is often based on methods in mathematical statistics to quantify the influence power of cities, and then cities are classified based on it, but this strategy doesn't consider the spatial competitive relation between cities. For delimitating urban affected coverage, spatial interaction model is generally employed to define the potential equilibrium boundary of attraction between two towns. However, if there are many cities, this approach would face many obstacles. This paper presents a new method for it. Firstly, Voronoi diagram is used to delimitate urban spatial influence regions, then according to the relationship of attribute value of a Voronoi polygon' centroid and ones of its nearest neighbors, the hierarchy of cities in a region is ordered.