Qualitative Spatial Reasoning in 3D: Spatial Metrics for Topological Connectivity in a Region Connection Calculus

  • Chaman L. Sabharwal
  • Jennifer L. Leopold
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8891)


In qualitative spatial reasoning, there are three distinct properties for reasoning about spatial objects: connectivity, size, and direction. Reasoning over combinations of these properties can provide additional useful knowledge. To facilitate end-user spatial querying, it also is important to associate natural language with these relations. Some work has been done in this regard for line-region and region-region topological relations in 2D, and very recent work has initiated the association between natural language, topology, and metrics for 3D objects. However, prior efforts have lacked rigorous analysis, expressive power, and completeness of the associated metrics. Herein we present new metrics to bridge the gap required for integration between topological connectivity and size information for spatial reasoning. The new set of metrics that we present should be useful for a variety of applications dealing with 3D objects.


Region Connection Calculus Metrics Spatial Reasoning Qualitative Reasoning 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Chaman L. Sabharwal
    • 1
  • Jennifer L. Leopold
    • 1
  1. 1.Missouri University of Science and TechnologyUSA

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