中文摘要：

由于单独的拓扑关系、度量关系无法区分复杂要素之间的空间关系,在语义描述上存在歧义,提出一种二维空间R2下空间关系的细分表达模型.该模型将面与线求交后,线面可以表示成n-1个拓扑和度量分量的序列矩阵,在语义上进行更细致的分段描述;采用折线节点微小圆求交的算法,考虑面带洞和目标的不确定性,归纳出线面拓扑关系细分判断的7个规则,以及长度、分割度等度量项的计算方法.最后以土地利用中图斑扣除线状地物计算地类面积为实例,验证了该模型和计算方法对解决实际问题的有效性.

英文摘要：

Since a pure topological or metric relation could give ambiguous description for complex two-dimensional space objects, a new integrated model of both topological and metric relations is proposed. When a line intersects a region, their topological and metric relation is expressed by a series of （n-1） matrices with topological and metric components, by which semantic information is more adequately described. An algorithm is also introduced for computation of the small circle intersection of polyline nodes, by taking into account the uncertainty of objects and surface with holes. The seven rules are provided for the determination of line-region topological relationships as well as some metric measurements approaches （length, inner traversal splitting, etc. ）. Finally the proposed model is successfully applied for the computation of the areas of land-use polygons minus linear features.