Improving 9-intersection model by replacing the complement with voronoi region

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چکیده

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Improving 9-Intersection Model by Replacing the

9-intersection model is the most popular framework used for formalizing the spatial relations between two spatial objects A and B. It transforms the topological relationships between two simple spatial objects A and B into point-set topology problem in terms of the intersections of A’s boundary (A), interior (A) and exterior (A) with B’s boundary ( B), interior (B) and exterior (B). It was sh...

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Improving 9-Intersection Model by Replacing the

9-intersection model is the most popular framework used for formalizing the spatial relations between two spatial objects A and B. It transforms the topological relationships between two simple spatial objects A and B into point-set topology problem in terms of the intersections of A’s boundary (symbol 182 \f "Symbol" \s 11∂}A), interior (A) and exterior (A) with B’s boundary ( symbol 182 \f "S...

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Describing Topological Relations with Voronoi-based 9-intersection Model

The Voronoi-based 9-intersection model (V9I) is a modified version of the original point-set-based 9-intersection model. The modification is made by replacing the complement (exterior) of an entity with its Voronoi region. It is shown in this paper that it is possible to solve the three major problems associated with the original 9-intersection model with the new V9I model.

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Spatial relations is a key component of Geographical information science (GIS). Efforts have been made on formal definition of spatial relations and the 9-intersection model developed by Egenhofer and his collaborators is the most popular framework for the topological spatial relations. In that model, the topological relationships between two simple spatial entities A and B is transformed into ...

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ژورنال

عنوان ژورنال: Geo-spatial Information Science

سال: 2000

ISSN: 1009-5020,1993-5153

DOI: 10.1007/bf02826800