基于加权Voronoi图的城市经济区划分方法探讨

在分析目前划分城市经济区的方法的基础上，考虑到加权Voronoi图几何性质的独特性、在空间分割上的合理性以及计算机自动生成的可行性，试图将其应用于城市体系研究．通过深入分析城市断裂点理论的性质，并应用加权Voronoi图对其扩展，发现了包括传统断裂点在内的城市吸引范围的理论上的准确边界，提出了“断裂弧”的概念．通过构建两种不同形式的加权Voronoi图，提出了确定区域中心城市和划分城市经济区的新方法，并以河南省为例进行了实证分析．

A study on the division of urban economic regions based on weighted Voronoi diagram

The division of urban economic regions is an important content of urban system planning, and also the important aspect of urban science building. This paper analyzed the existing methods for the division of urban economic regions. Considering weighted Voronoi diagram's geometric particularity, the rationality for dividing up space and the solvability by computer, the paper tried to apply it in urban system studying. The exact boundary of each city's absorbed region in theory is found and the conception of breaking arc was put forward by analyzing the breaking point theory deeply ,and expanding the theory with weighted Voronoi diagram. The paper put forward new methods for selecting regional central cities and dividing urban economic regions by means of two kinds of weighted Voronoi diagrams, and gave an analytic demonstration taking Henan province as an example.