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See detailErrata Corrige on “Modeling and Computing Ternary Projective Relations Between Regions”
Clementini, Eliseo; Billen, Roland ULg; Santic, Marco

in IEEE Transactions on Knowledge & Data Engineering (2011)

We report a corrected version of the algorithms to compute ternary projective relations between regions appeared in E. Clementini and R. Billen, "Modeling and computing ternary projective relations ... [more ▼]

We report a corrected version of the algorithms to compute ternary projective relations between regions appeared in E. Clementini and R. Billen, "Modeling and computing ternary projective relations between regions," IEEE Transactions on Knowledge and Data Engineering, vol. 18, pp. 799-814, 2006. [less ▲]

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See detailA Reasoning System of Ternary Projective Relations
Clementini, Eliseo; Skiadopoulos, Spiros; Billen, Roland ULg et al

in IEEE Transactions on Knowledge & Data Engineering (2010), 22(2), 161-178

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See detailModeling and computing ternary projective relations between regions
Clementini, Eliseo; Billen, Roland ULg

in IEEE Transactions on Knowledge & Data Engineering (2006), 18(6), 799-814

Current spatial database systems offer limited querying capabilities beyond binary topological relations. This paper introduces a model for projective relations between regions to support other ... [more ▼]

Current spatial database systems offer limited querying capabilities beyond binary topological relations. This paper introduces a model for projective relations between regions to support other qualitative spatial queries. The relations are ternary because they are based on the collinearity invariant of three points under projective geometry. The model is built on a partition of the plane into separate zones that are obtained from projective properties of two reference objects: Then, by considering the empty/ nonempty intersections of a primary object with these zones, the model is able to distinguish between 34 different projective relations. Then, the paper proposes original algorithms for computing the relations under the assumption that regions of the plane are stored as vector polygons in a spatial database. These algorithms run in optimal O(n log n) time. [less ▲]

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