# Oriented Straight Line Segment Algebra: Qualitative Spatial Reasoning about Oriented Objects

@article{Moratz2009OrientedSL, title={Oriented Straight Line Segment Algebra: Qualitative Spatial Reasoning about Oriented Objects}, author={Reinhard Moratz and Dominik L{\"u}cke and Till Mossakowski}, journal={ArXiv}, year={2009}, volume={abs/0912.5533} }

Nearly 15 years ago, a set of qualitative spatial relations between oriented straight line segments (dipoles) was suggested by Schlieder. This work received substantial interest amongst the qualitative spatial reasoning community. However, it turned out to be difficult to establish a sound constraint calculus based on these relations. In this paper, we present the results of a new investigation into dipole constraint calculi which uses algebraic methods to derive sound results on the…

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