References of "Clementini, Eliseo"
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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 and 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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See detailProjective relations in a 3D environment
Billen, Roland ULg; Clementini, Eliseo

in Lecture Notes in Computer Science (2006), 4197

This paper presents a model for positional relations among bodies of arbitrary shape in three dimensions. It is based on an existing model for projective relations among regions in two dimensions. The ... [more ▼]

This paper presents a model for positional relations among bodies of arbitrary shape in three dimensions. It is based on an existing model for projective relations among regions in two dimensions. The motivation is to provide a formal qualitative spatial relations model for emerging 3D applications. Two sets of relations are defined: ternary projective relations based on the concept of collinearity between a primary object and two reference objects and quaternary projective relations based on the concept of coplanarity between a primary object and three reference objects. Four sets of JEPD relations are defined for points and bodies in R-3. [less ▲]

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See detailSemantics of Collinearity Among Regions
Billen, Roland ULg; Clementini, Eliseo

in Lecture Notes in Computer Science (2005)

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See detailA model for ternary projective relations between regions
Billen, Roland ULg; Clementini, Eliseo

in Lecture Notes in Computer Science (2004)

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See detailIntroducing a reasoning system based on ternary projective relationships
Billen, Roland ULg; Clementini, Eliseo

in Fisher, Peter (Ed.) Developments in Spatial Data Handling (2004)

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See detailEtude des caractéristiques projectives des objets spatiaux et de leurs relations
Billen, Roland ULg; Clementini, Eliseo

in Revue Internationale de Géomatique (2004), 14(2), 145-165

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See detailProjective and Affine Spatial Operators for Regions
Billen, Roland ULg; Clementini, Eliseo

in Joo Er, Meng; D'Attelis, Carlos; Mastorakis, M. (Eds.) Proceedings of WSEAS International Conferences MCBC, MCBE, ICAMSL, ICAI (2002, December)

Among Geographic Information Systems functionality is the retrieval of spatial data by using various spatial operators. The proposal of this paper is about the definition of new spatial operators that are ... [more ▼]

Among Geographic Information Systems functionality is the retrieval of spatial data by using various spatial operators. The proposal of this paper is about the definition of new spatial operators that are based on projective and affine geometric invariants. Such a special category of geometric properties, despite being not widely used in previous work, reveals itself a very interesting realm for the exploration of new operators that are both powerful and easy to use from an end-user perspective. [less ▲]

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