基于交集成分细分的面/面目标拓扑关系扩展模型  

Extended models of area/area object topological relations based on intersection component details

作　　者：赵彬彬[1,2] 汤鑫 唐忠立 王安 ZHAO Bin-bin;TANG Xin;TANG Zhong-li;WANG An(School of Traffic and Transportation Engineering,Changsha University of Science&Technology,Changsha 410114,China;Engineering Laboratory of Spatial Information Technology of Highway Geological Disaster Early Warning in Hunan Province,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学交通运输工程学院,湖南长沙410114 [2]长沙理工大学公路地质灾变预警空间信息技术湖南省工程实验室,湖南长沙410114

出　　处：《长沙理工大学学报（自然科学版）》2021年第2期66-75,共10页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(41301404);湖南省自然科学基金资助项目(14JJ3083);长沙理工大学公路地质灾变预警空间信息技术湖南省工程实验室开放基金资助项目(kfj160603)。

摘　　要：由于四交、九交拓扑关系模型未对空间目标的相交细节进行深入分析和详细表达,导致其对面/面目标基本拓扑关系复杂情形的区分能力不足。为此,以四交模型和九交模型为基础,引入空间目标之间交点个数、交线条数、节点贡献值等定量、半定量化元素,扩展其表达矩阵中的交集非空元素,构建基于空间目标交集成分细分的面/面目标拓扑关系扩展模型。剖析了面/面目标之间拓扑相接、拓扑相交和拓扑覆盖3类基本关系的多个复杂情形,分析了基于交集成分细分的拓扑关系模型扩展方法及对复杂拓扑关系分析的计算过程。最后,利用实例分析验证了扩展模型的有效性及优势。结果表明:扩展模型对面/面目标之间基本拓扑关系复杂情形的细节表达得更加准确、直观,同时也增强了拓扑关系模型的定量化、半定量化表达能力。Because the four-intersection and nine-intersection topological relation models fail to analyze and express the intersection details of spatial objects in depth,their ability to distinguish the complex cases of the basic topological relations of the area/area objects is insuff-icient.Therefore,based on the 4-intersection model and the 9-intersection model,quantitative/semi-quantitative elements such as the number of the intersection points,the number of intersection lines and the contribution value of nodes were introduced to extend the intersection non-empty elements in the expression matrix,and extended models of area/area object topological relations based on the intersection component details of spatial targets were constructed.This paper analyzed several complex cases of three basic relations about area/area objects,such as topological connection,topological intersection and topological coverage,meanwhile it explored the extension method of topological relation models based on the intersection component details and the calculation process about complex topological relation analysis.Finally,the validity and advantage of the extended models were verified by an example analysis.The results show that the details of the complex cases of the basic topological relations between the area/area objects are expressed more accurately and intuitively by the extended models.Moreover,the ability of the quantitative/semi-quantitative expression of the topological relation models is also enhanced.

关 键 词：拓扑学 四交模型 九交模型 空间关系 交集成分 

分 类 号：P208[天文地球—地图制图学与地理信息工程]