A Model for Topological Relationships Based on Euler Number
نویسندگان
چکیده
Topological Relationships between spatial objects is a very important topic for spatial data organization, reasoning, query, analysis and updating in Geographic Information Systems (GIS). The most popular models in current use have fundamental deficiency. In this paper, a whole-based approach is pursued to model binary topological relationships between spatial objects, in which (i) a spatial object is treated as a whole , (ii) appropriate operators from set operators (intersection, difference) are selected to distinguish the topological relations between spatial objects; (iii) three types of topological invariants are used for the computational results of set operations – contents, dimension and Euler-number. This approach overcomes the shortcoming of current models.
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