Qualified topological relations between spatial objects with possible vague shape

Authors: Bejaoui, L.¹; Pinet, F.²; Bedard, Y.³; Schneider, M.⁴

Source: International Journal of Geographical Information Science, Volume 23, Number 7, July 2009 , pp. 877-921(45)

Publisher: Taylor and Francis Ltd

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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.

Keywords: Spatial objects with vague shape; Topological relations; Partial shape vagueness; Spatial query; Integrity constraints; Spatial data integration

Document Type: Research article

DOI: 10.1080/13658810802022814

Affiliations: 1: Department of Sciences geomatiques, Laval University, Quebec city, Que., Canada,Industrial Research Chair in Geospatial Databases for Decision Support, Laval University, Quebec city, Que., Canada,Cemagref-Clermont-Ferrand, France,Department of Co 2: Cemagref-Clermont-Ferrand, France 3: Department of Sciences geomatiques, Laval University, Quebec city, Que., Canada,Industrial Research Chair in Geospatial Databases for Decision Support, Laval University, Quebec city, Que., Canada 4: Cemagref-Clermont-Ferrand, France,Department of Computer Sciences, Blaise-Pascal University, Clermont-Ferrand, France

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