Some Remarks on Topological Abstraction in Multi Representation Databases

Topology is playing a central role in GIS and data integration. However, the standardisation of topological data models, especially for data represented at different levels of detail, has not yet far progressed. The multi-representation of geo-objects poses new challenges, resulting in the development of Multi-Representation Databases. MRDB manage objects with changing scale and level of detail. As spatial models change their content over time, the users require various representations of geo-objects. A general model based on oriented hierarchical d-Generalized Maps is introduced to represent topology in a MRDB. The model can be used as a data integration platform for 2D, 3D, and 4D topology. The realisation of the approach results in a topological toolbox comprising elementary and complex tools for single and multiple representations. An application example is presented, which uses 2D cartographic datasets from Hannover University. Finally, an outlook to ongoing research is given.