A 3D topology model for multiple topological representations based on combinatorial maps

The formal representation of topological relations plays a very important role in process of spatial query, spatial analysis and spatial reasoning. Most current models support a single representation of geometry and topology at a fixed resolution. While it often happens that different applications take into consideration spatial data/topological relationship, with the same 3D scene date, under different viewpoints, in different geometric forms and/or with different resolutions. In this case, a topology model for multiple topological representations is needed. In this paper, we propose a new approach based on combinatorial maps, which focus on both multiple topological representations under the situation of LOD and Feature semantic/spatial aggregation and the consistency of topology.