Research on Combinational Reasoning of Directional Relations Based on Double Projections Model in Three-Dimensional Space

Yong Shan Liu; Wei Jie Gu

doi:10.4028/www.scientific.net/AMR.186.61

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 186Research on Combinational Reasoning of Directional...

Research on Combinational Reasoning of Directional Relations Based on Double Projections Model in Three-Dimensional Space

Abstract:

The xoy and xoz planes are divided into nine areas in three-dimensional space respectively by the MBR (Minimum Bounding Rectangle), which are produced by the reference objects’ projection to their planes. The intersecting situations between the projection of target objects and the two of reference objects are expressed by two 3×3 matrices. Then, a directional relations matrix model based on double projections is put forward. A combinational reasoning method is proposed by using the computational performance of matrices based on this model. Moreover, a combinational reasoning experiment is given and the result matches the reality.

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Periodical:

Advanced Materials Research (Volume 186)

Pages:

61-65

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.186.61

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Online since:

January 2011

Authors:

Yong Shan Liu, Wei Jie Gu

Keywords:

Combinational Reasoning, Directional Relations Matrix Model, Double Projections, Minimum Bounding Rectangle, Three-Dimensional Space

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