关键词: Voronoi图, 空间数据挖掘, 配位数, 城市“空洞”, 变异系数

Abstract:

Strengthening urbanization has now become the main task of China’s modernization. Urban spatial distribution patterns are characterized by complexity and diversity. Through these characteristics, it is easy to notice problems such as the uneven distributions of urban areas within provinces, the excessive implemented levels in administrative divisions, and huge gaps existed between cities and towns in terms of their urbanization levels. Therefore, it is important to find out how to display the spatial distribution of urban area rationally and explore useful information. As one of the spatial data mining tools, Voronoi diagram can be used to implement spatial subdivision and reveal the scope of spatial influence generated by urban area. In this article, a Voronoi diagram of Shanxi Province, which is weighted by the city centricity intensity, is generated using the Weighted Voronoi Diagram Extension for ArcGIS 9.x. It is also used to analyze the spatial influence of cities in Shanxi and to evaluate the rationalities and limitations in developing these cities. Undeveloped areas in these cities are obtained by combining Voronoi diagram with Delaunay triangulation and overlay analysis. Counties to be developed are obtained by implementing overlay analysis on county, street, and river data. Finally, the rationality and feasibility are evaluated by integrating general Voronoi diagram with C_v values. Through the analysis, conclusions could be made as follows: Taiyuan city has a larger spatial influence area than the other cities, and it has a negative impact on the development of other cities; western and eastern areas in Shanxi are developed unevenly; the cities of Fanzhi, Lingshi, and Xinjiang have the advantages and potentials to be developed in priority. Through the integration of general Voronoi Diagram and C_v values, the results correspond well to the actual situations.

Key words: Voronoi diagram, spatial data mining, coordination number, city “void”, C_v