点状地图空间信息量的度量方法研究  

An Approach to Measuring the Spatial Information Content of a Point-shaped Map

作　　者：刘慧敏[1] 邓敏[1] 樊子德[1] 徐震[1] 

机构地区：[1]中南大学地球科学与信息物理学院,湖南长沙410083

出　　处：《测绘学报》2013年第1期138-144,151,共8页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金(41171351);中央高校基本科研业务费青年助推项目;江西省数字国土重点实验室开放基金(DLLJ201204)

摘　　要：在分析现有地图信息度量方法的基础上,从地图信息来源入手,提出点状地图空间信息的构成即几何分布信息、拓扑邻接信息、聚群结构信息。进而,结合地图信息产生的差异性本质,建立了地图空间信息量度量的模型,即:基于特征的信息量模型。随后,从几何分布特征上选择点要素对应Voronoi区域面积、从拓扑邻接特征上选择Voronoi区域的一阶邻接度、从聚群结构特征上选择点数、分布面积和分布密度作为特征的定量描述指标,分别建立了几何分布信息量、拓扑邻接信息量、聚群结构信息量的度量方法。最后,采用两组地图数据试验对本文提出的方法进行验证,通过对比试验分析表明了本文所提方法的合理性和优越性。Existing methods of information measurement are firstly investigated in detail and the shortcomings pointed out.To develop a scientific method of information measurement,this paper analyzes the essence of map information source,i.e.the diversity and difference of spatial features and their distributions,and proposes the components of spatial information content for a point-shaped map,including geometrical distribution information,topological adjacency information and cluster structural information.On this basis,the metric characteristics of each type of information are analyzed and obtained,i.e.distribution density,topological adjacency and cluster structure.Moreover,a unified model of measuring the spatial information content of point-shaped map is build upon these characteristics.In calculation,the area of Voronoi regions of point elements is selected to describe quantitatively distribution density,1-order Voronoi adjacent degree for topological adjacency,and the number,distribution area and density of point elements for cluster structure.Finally,practical examples are provided and the experimental results indicate the rationality and superiority of the proposed methods.

关 键 词：点要素 地图信息量 几何分布 拓扑邻接 聚群结构 

分 类 号：P282[天文地球—地图制图学与地理信息工程]