Fundamental Theories of Spatial Similarity Relations in Multi-scale Map Spaces

作     者：YAN Haowen YAN Haowen 1, 2(1.School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China;2.School of Geographic Science and Planning, Sun Yat-Sen University, Guangzhou 510275, China)

作者机构：School of Mathematics Physics and Software Engineering Lanzhou Jiaotong University Lanzhou 730070 China School of Geographic Science and Planning Sun Yat-Sen University Guangzhou 510275 China 

出 版 物：《Chinese Geographical Science》 (中国地理科学（英文版）)

年 卷 期：2010年第20卷第1期

页      面：18-22页

核心收录：

学科分类：0303[法学-社会学] 08[工学] 081104[工学-模式识别与智能系统] 0708[理学-地球物理学] 0705[理学-地理学] 0813[工学-建筑学] 0704[理学-天文学] 0811[工学-控制科学与工程] 0833[工学-城乡规划学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 081202[工学-计算机软件与理论] 

主　　题：相似性关系 空间地图 多尺度空间 自动制图综合 地理信息科学 数据库检索 地图数据库 相似性检索 

摘      要：Similarity relation is one of the spatial relations in the community of geographic information science and cartography.It is widely used in the retrieval of spatial databases, the recognition of spatial objects from images, and the description of spatial features on maps.However, little achievements have been made for it by far.In this paper, spatial similarity relation was put forward with the introduction of automated map generalization in the construction of multi-scale map databases;then the definition of spatial similarity relations was presented based on set theory, the concept of spatial similarity degree was given, and the characteristics of spatial similarity were discussed in detail, in-cluding reflexivity, symmetry, non-transitivity, self-similarity in multi-scale spaces, and scale-dependence.Finally a classification system for spatial similarity relations in multi-scale map spaces was addressed.This research may be useful to automated map generalization, spatial similarity retrieval and spatial reasoning.