Because the four-intersection and nine-intersection to pological relation models fail to analyze and express the inter section details of spatial objects in depth,the irability to distinguish the complex cases of the basic topological relations of the area/area objects is insufficient.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 inter-sectionnon-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.