For the problem that the 25-intersection model(25IM) did not analyze and express the intersection components of the regions with holes well,which leaded to its insufficient ability to express the complex interaction details between the boundaries of regions with holes,a node-based extended 25-intersection model(NE25IM) was proposed.Based on the 25IM,quantitative elements such as the number of intersections,node contribution value and node degree were introduced into the NE25IM to expand the non-empty intersection elements in the expression matrix,so as to achieve the purpose of fine expression of topological relationships between regions with holes.The NE25IM was used to describe the four basic topological relationships,including meet, overlap, cover and contain,between regions with holes (including the cases with one hole and two holes),and the calculation process of the intersection components of regions with holes was analyzed. Finally,an example analysis was used to verify the advantages of the NE25IM and the practical significance of the change regulation of the number of holes in regions.The results shows that the NE25IM can express the complex interaction details between the boundaries of regions with holes more directly and accurately,which illustrates that the modelexpression numerical difference caused by the difference in the number of holes in regions with holes is related to the shape and number of holes,and expression differences of subset combinations between regions with holes vary with the types of topological relationships.