中文摘要：

等级Voronoi图及加权Voronoi图是以树状形式表达事物层次关系的方法,可作为一种空间数据模型应用于城镇等级体系、组织结构关系表达等地学领域。该文首次提出一种等级Voronoi图及加权Voronoi图的ArcGIS矢量生成算法,以ArcGIS Engine为开发工具,利用增量法思想,通过区域分割和合并方法实现了对空间的多级划分,为研究和发展GIS空间数据模型提供了重要的方法手段。

英文摘要：

Hierarchical Voronoi diagram（HVD）and hierarchical multiplicatively weighted Voronoi diagram（HMWVD）are methods of expressing hierarchical relationships in the form of trees,which are widely applied in the field of geography,such as urban hierarchies exhibition,organization structures expression,etc.A vector-based approach is first proposed to generate HVD and HMWVD through the methods of regions division and regions union with ArcGIS Engine based on the thought of incremental method.It provides an important way to research and develop GIS spatial data model.