栅格空间中不确定空间拓扑关系的判别  

Determination of uncertain spatial topological relation in raster space

作　　者：杜晓初[1,2] 蔡贤 DU Xiaochu;CAI Xian(Faculty of Resource and Environmental Science,Hubei University,Wuhan 430062,China;Hubei Key Laboratory of Regional Development and Environmental Response Wuhan 430062,China)

机构地区：[1]湖北大学资源环境学院,武汉430062 [2]区域开发与环境响应湖北省重点实验室,武汉430062

出　　处：《测绘科学》2020年第10期119-126,共8页Science of Surveying and Mapping

基　　金：区域开发与环境响应湖北省重点实验室开放基金项目(2016B004)。

摘　　要：由于空间数据具有模糊性、随机性以及不完备性等不确定性特征,空间目标之间的空间关系也具有不确定性。该文针对不确定性中的不完备性,根据粗糙集中等价类基本概念,在栅格空间中构建了不确定性面状目标(称之为地理粗糙集),基于空间拓扑关系描述的交集模型,采取定量化的方法对地理粗糙集之间的拓扑关系进行判别。此方法概念清楚,计算简单,可以较为方便地将复杂的不确定性空间拓扑关系归类为简单的拓扑关系类型,实验结果表明这种方法是有效的。Because uncertainty which includes fuzziness,randomness and incompleteness,is an essential attribute of spatial data,how to distinguish uncertain spatial topological relation is a very important issue we have to solve. In this paper,we presented a new representation method for uncertain areal object in raster space which is called geographical rough set(GRS) in terms of the concept of equivalence class of rough sets. Based on the famous intersection set model for spatial topological relations,we used quantitative computation models to distinguish spatial topological relations between two complex GRSs easily. Using the model,we could classify all different types of uncertain topological relations between two GRSs into 8 basic topological relations. Experimental results showed that this method was effective.

关 键 词：栅格空间 空间拓扑关系 地理粗糙集 交集模型 定量方法 

分 类 号：P208[天文地球—地图制图学与地理信息工程]