3D 9+- Model Representing Topological Relation between 3D Bodies with Holes
Yunfei Shi, Shuang Di, Lingling Zhang, Ting Mi · 2016
Three-dimensional topological relation is the basis of spatial analysis, spatial reasoning, and other applications in 3D GIS.Based on 9-intersection model, the proposed 3D 9intersection uses 5 values {0, 1, 2, 3, 4} to replace two values {0, 1} of original model, which not only can distinguish whether two bodies intersection but can get the dimensions of the intersection results.Based on 3D 9-intersection model, the broad boundary of TRCR model was introduced to divide several sub-sections of bodies with holes into interior, broad boundary, and exterior.Moreover, two methods to divide broad boundary were proposed.In order to further distinguish the topological relations, 3D 9 +intersection model was proposed by referring the nested matrix of 9 + -intersection model for representing broad boundary.Therefore, this model allows topological relationships between complex bodies to be implemented.