Description and reasoning of integrated topological and directional relation of bodies in 3D space

Liu Xin,Li Chengming and Liu Wenbao

Strategic Study of CAE ›› 2013, Vol. 15 ›› Issue (5) : 8 -13.

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Strategic Study of CAE ›› 2013, Vol. 15 ›› Issue (5) : 8 -13.

Description and reasoning of integrated topological and directional relation of bodies in 3D space

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Abstract

To improve the uniqueness location information described by spatial relationship and accuracy of spatial relationship reasoning result,the description model of the integrated topological and directional relations in three-dimensionall(3D) space was developed. The topological directional regions were described by Allen interval pair[(R1,R2,R3)], where R1,R2 and R3 are Allen interval relations between object and reference in X, Y and Z axis projection respectively. According to definition of integrated topological and direction relation, the qualitative reasoning of integrated topological and directional relations were studied. Empirical examples were provided to show the qualitative reasoning process and results of topological direction relationships for some classical cases. Combined tables of the integrated topological and directional relations were obtained when the topological relations were disjoint in 3D space.

Keywords

spatial relation / topological relation / direction relation / integrated topological and direction relation / three-dimensional space

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Liu Xin,Li Chengming and Liu Wenbao. Description and reasoning of integrated topological and directional relation of bodies in 3D space. Strategic Study of CAE, 2013, 15(5): 8-13 DOI:

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