GIS 中确定面对象与模糊面对象间拓扑关系的描述

摘要

拓扑关系是空间关系理论与应用研究中最基本也是最重要的关系，在 GIS 空间推理、人工智能、数据挖掘等方面占有重要的地位。通过分析简单面对象间拓扑关系的演变过程，提出一种能描述确定面对象与模糊面对象间的空间拓扑关系的方法，并用该方法详细推导了确定面对象与模糊面对象间有意义的拓扑关系。通过试验验证，该方法在理论上是可行的。同时，判断确定面对象与模糊面对象间拓扑关系时采用层次计算，提高了计算速度，不易出错。%Topological relation is the fundamental and most important relation in the study on spatial relations theory and application,and plays an important role in GIS spatial reasoning,artificial intelligence,data mining and other aspects as well.By analysing the evolution process of topological relations between simple area objects,we put forward an approach,which can describe the special topological relations between certain objects and fuzzy objects,and applied it to deducing in detail the meaningful topological relations between certain objects and fuzzy objects.It has verified through experiment that in theory the approach is feasible.Meanwhile,we adopted the hierarchical calculation when determining the topological relations between certain objects and fuzzy objects,this improved calculation speed and was less prone to error.