The Finest of its Class: The Natural Point-Based Ternary Calculus for Qualitative Spatial Reasoning

@inproceedings{Scivos2004TheFO,
  title={The Finest of its Class: The Natural Point-Based Ternary Calculus for Qualitative Spatial Reasoning},
  author={Alexander Scivos and Bernhard Nebel},
  booktitle={Spatial Cognition},
  year={2004}
}
We develop a theory for ternary point-based calculi such that the relations are invariant when all points are mapped by rotations, scalings or translations and propose methods to determine arbitrary transformations and compositions of such relations. We argue that calculi based on such relation systems should satisfy two criteria. First, the relation system should be closed under transformations, compositions and intersections and have a finite base that is jointly exhaustive and pairwise. This… CONTINUE READING

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