摘要
地图是空间信息传输的重要工具,地图拓扑结构信息的有效度量对地图更新、多尺度表达、制图综合等十分重要。信息熵已被用于描述地图信息,但对地图拓扑结构信息熵的研究多局限于单一层次或尺度,缺乏系统、多层次、多尺度刻画地图结构复杂性的方法。该文以道路网为例,基于复杂网络理论,从整体与局部两个层次,考虑网络的集聚性、连通性、可达性及邻域完整性特征,构建地图拓扑结构信息熵指标,将其用于不同模式道路网及其对应同等规模的随机网络的结构特征定量描述。结果表明该方法能揭示道路网内在的小世界与无标度网络结构特征,并可有效刻画不同模式道路网的结构差异,可用于制图综合、多尺度表达、地图更新设计等。
Map has been thought as one of the most powerful tools to transmit spatial information. The development of effective measurements for describing the topological structural information of a map is very important to map updates, the multi-scale representation, map generalization etc. Entropy has been found to be a valid way to quantitatively describe the information of a map. However, current studies on the topological structural information are limited to one level or a single scale. There is a lack of approaches which can accurately describe the structural [nforrnat;-on of a map in a systematical,multi-level and multi-scale way. Taking road networks as an example, this paper comprehensively considers the structural properties of networks including clustering, connectivity, accessibility and completeness of node neighbors with the help of complex network analyses. Four kinds of measurements of entropy have been developed and been applied to measure the structural properties of road networks of di- verse patterns and the random networks of the same sizes as corresponding road networks. Results indicate that approaches de- veloped in this paper can reflect the internal small-world and scale-free properties of road networks. They can also depict the structural differences between networks with different patterns. The four kinds of topological structural entropies we proposed can be -urther applied to map generalization,multi-scale representation, design of map update etc.
作者
张红
何晶
杨婕
吴荣光
曾映敏
吴珣
ZHANG Hong HE Jing YANG Jie WU Rong-guang ZENG Ying-rain WU Xun(Faculty of Geosciences and Environmental Engineering, Southwest J iaotong University, Chengdu 611756 Nanning Land Resources Center of Surveying,Mapping and Geoinformation, Nanning 530021, China)
出处
《地理与地理信息科学》
CSCD
北大核心
2017年第2期1-6,共6页
Geography and Geo-Information Science
基金
国家自然科学基金面上项目"基于结构特性的数字地图多尺度表达研究"(41471383)
国家自然科学基金青年基金项目"基于复杂网络理论的道路网自组织结构和协同生长机理研究"(41101361)
关键词
道路网
拓扑结构
信息熵
road networkl topological structure
in{ormation entropy
