Qualified topological relations between spatial objects with possible vague shape
TL;DR: This paper aims to represent different levels of shape vagueness and consider them during the identification of topological relations, which supports an adverbial expression of integrity constraints and spatial queries.
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Abstract: Broad boundary is generally used to replace one-dimensional boundary for spatial objects with vague shape. For regions with broad boundary, this concept should respect both connectedness and closeness conditions. Therefore, some real configurations, like regions with partially broad boundary (e.g. lake with rocky and swamp banks), are considered invalid. This paper aims to represent different levels of shape vagueness and consider them during the identification of topological relations. Then, an object with vague shape is composed by two crisp components: a minimal extent and a maximal extent. Topological relations are identified by applying the 9-Intersection model for the subrelations between the minimal and maximal extents of objects involved. Four subrelations are then represented through a 4-Intersection matrix used to classify the topological relations. For regions with broad boundary, 242 relations are distinguished and classified into 40 clusters. This approach supports an adverbial expression of integrity constraints and spatial queries.
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•Dissertation
Qualitative topological relationships for objects with possibly vague shapes : implications on the specification of topological integrity constraints in transactional spatial databases and in spatial data warehouses
Lotfi Bejaoui
- 01 Jan 2009
TL;DR: Cette approche est moins fine que d'autres approches concurrentes (modelisation par sous-ensembles flous ou modelisation probabiliste).
13
References
•Book
Fuzzy sets
Lotfi A. Zadeh
- 01 Aug 1996
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
53.2K
Wikipedia: An Info-Communist Manifesto
TL;DR: The task of this article is to analyze the political economy of Wikipedia and the basic principles of what the authors call the info-communist mode of production are discussed.
2.9K
Point-set topological spatial relations
TL;DR: A novel theory of topological spatial relations between sets is developed in which the relations are defined in terms of the intersections of the boundaries and interiors of two sets, and it is shown that these relations correspond to some of the standard set theoretical andTopological spatial Relations between sets such as equality, disjointness and containment in the interior.
1.6K
•Book
Geographic Objects with Indeterminate Boundaries
Peter A. Burrough,Andrew U. Frank +1 more
- 07 Mar 1996
TL;DR: In this paper, a range of specialists from fields such as linguistics, computer science, land surveying, cartography and soil science examine current research into the challenges of dealing with geographical phenomena that cannot easily be forced into one of the two current standard data models.
767





