Asymmetrical Representation of Topological Relationships
نویسندگان
چکیده
Topological relationships are the most important spatial relationships in geographical information science (GIS). There are many models of spatial relationships; the most popular model of them is 9-intersection model (9IM). There are two main problems in 9intersection model: topological paradox and linear dependency. We solve the problem of topological paradox by using the lower dimensional part (LDP) to replace the boundary of a spatial entity, and the same dimensional part (SDP) to replace the interior of a spatial entity. Linear dependency causes the implementation of 9-intersection model very complex and no calculation formula can be given out. In order to reducing the influence of linear dependency, we only divide one of the two spatial entities into three parts: SDP, LDP and exterior. Next, we use combination of the dimensions of intersections between one entity and the interior (or boundary, exterior) of the other entity to represent the topological relationships between the two spatial entities. This method is simple in realization, and the calculation formulas are given.
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