针对线/面细分拓扑关系研究存在的不足,提出了一种基于结点度的线/面细分拓扑关系描述与计算方法.该方法在定义线/面单元交线并分析其特点的基础上,引入结点度来区分线/面单元交线细分类型.根据单元交线端点在线/面目标组成图形结构中结点度的不同,及线目标在度为3和4的交线端点处是否有相连线段、相连线段位于多边形的边界上、内部或外部4个谓词推导出了21种有意义的线/面交线细分拓扑关系类型.在此基础上分析比较了本文方法与现有方法的异同与优势,举例说明本文方法在复杂线/面细分拓扑关系描述中的应用.最后用Visual C#语言编程实现了该方法,并将其应用到线状道路/面状河流目标间的数据质量检查与修正中,验证可行性.
In order to overcome the shortcoming of the current models in discriminating the refined topological relations between line and polygon, a node-degree based refined line/polygon topological relationship model is presented. In this model, the unit line/polygon intersection segment is defined at first,then node-degree is introduced to refine the unit intersection segment. 21 refinement line/polygon intersection segment types are differentiated using the degree of the end points of the intersection segment, and the relationship between the polygon and the next segment of the line object at the end point(s) with 3 or 4 degree values.The comparison is carried out between the proposed node-degree based model and the current model. The discrimination of the refined line/polygon relations with multiple intersections is described using an example. The effectiveness of this model is verified by the topological integrity checking between road and river data.
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