摘要
该文阐述为了实现在GIS中描述自然界里带有模糊不确定性的地理目标 ,扩充GIS的模糊查询功能 ,首先基于集合论思想探讨了确定性地理目标的代数解析表达与其拓扑表达 ,指出了确定性点、线、面之间拓扑表达的构成机理 ;然后 ,基于场模型建立了模糊地理目标的空间表达 ,分析了模糊地理目标的位置不确定性 ,进而建立了模糊地理目标的拓扑表达模型 ,即点集拓扑内部、边界和外部。分析表明 ,公认的Egenhofer模型是该文模型在地理目标不带有误差或不确定性情况下的特例。最后 ,与Clementini(1996 )提出的模型做了比较分析 ,表明了该文模型的合理性。
To enable to improve the current GIS functions in describing a kind of geographic objects with fuzziness and of fuzzy query, this paper firstly discusses algebraic representation of certain object and its topological description based on the set theory, pointing out topological description mechanism of certain point, line and area. Then, how to model geometry of fuzzy geographic object and its locational uncertainty is analyzed in details. Furthermore, the topological components of fuzzy geographic object, i.e., interior, boundary and exterior, are given, showing that the well-known -intersection model proposed by Egenhofer is a special case of the model proposed in the paper. Finally, we make a comparison with the model proposed by Clementini (1996), illustrate its correctness.
出处
《地理学与国土研究》
CSSCI
CSCD
北大核心
2002年第1期15-18,共4页
Geography and Territorial Research
基金
国家自然科学基金资助项目 ( 4 980 10 16
40 10 10 2 2 )
