Qualitative Theory of Shape and Orientation (1999) [1 citations — 0 self]

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by Vincent Dugat, Pierre Gambarotto, Yannick Larvor

in Proceedings of the Workshop on Hot Topics in Spatial and Temporal Reasoning, International Joint Conference on Artificial Intelligence (IJCAI'99

http://www.irit.fr/ACTIVITES/LILaC/Pers/Larvor/DGL_ijcai99.ps.gz

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@INPROCEEDINGS{Dugat99qualitativetheory,
    author = {Vincent Dugat and Pierre Gambarotto and Yannick Larvor},
    title = {Qualitative Theory of Shape and Orientation},
    booktitle = {in Proceedings of the Workshop on Hot Topics in Spatial and Temporal Reasoning, International Joint Conference on Artificial Intelligence (IJCAI'99},
    year = {1999},
    pages = {45--53}
}

Abstract:

This article is concerned by necessary concepts to be expressed in qualitative regionbased geometry. In this ongoing work is presented a method to associate to an object a set of spheres representing the shape (skeleton and thickness) and the orientation. A general framework on direction is developed and the limited case of convex is completely achieved. Moreover clues are presented to generalize to any kind of objects. 1

Citations

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67	A pointless theory of space based on strong connection and congruence – Borgo, Guarino, et al. - 1996
65	Individuals and points. Notre Dame – Clarke - 1985
60	Parts, wholes, and part-whole relations: The prospects of mereotopology – Varzi - 1996
31	A hierarchical representation of qualitative shape based on connection and convexity – Cohn - 1995
31	Qualitative spatial reasoning with cardinal directions – Frank - 1991
30	Qualitative Distances – Hernandez, Clementini, et al. - 1995
24	Qualitative spatial reasoning using orientation, distance, and path knowledge – Zimmermann, Freksa - 1996
21	A typology and discourse semantics for motion verbs and spatial PPs in French – Asher, Sablayrolles - 1995
15	A logical framework for reasoning about space – Vieu - 1993
3	Region-based geometry: providing qualitative measure of distance and dimension – Gambarotto - 1999
3	Les fondements de la g'eom'etie des corps, volume 1 – Tarski - 1972
2	Axial representations, spacenet book chapter: Shape – Lundell

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