Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Randell, D.A., Cui, Z., Cohn, A.G.: A Spatial Logic Based on Regions and Connection. In: Proceedings of the 3rd International Conference on Knowledge Representation and Reasoning, Cambridge, MA, pp. 156–176 (1992)
Egenhofer, M.J., Herring, J.: Categorizing binary topological relations between regions, lines, and points in geographic databases. In NCGIA Technical Reports 91-7 (1991)
Schockaert, S., De Cock, M., Kerre, E.E.: Spatial reasoning in a fuzzy region connection calculus. Artificial Intelligence 173(2), 258–298 (2009)
Hernandez, D., Clementini, E.C., Di Felice, P.: Qualitative Distances. In: Kuhn, W., Frank, A.U. (eds.) COSIT 1995. LNCS, vol. 988, pp. 45–57. Springer, Heidelberg (1995)
Shariff, R., Egenhofer, M.J., Mark, D.M.: Natural-Language Spatial Relations Between Linear and Areal Objects: The Topology and Metric of English-Language Terms. International Journal of Geographical Information Science 12, 215–246 (1998)
Schneider, M.: Vague topological predicates for crisp regions through metric refinements. In: Fisher, P.F. (ed.) Developments in Spatial Data Handling, 11th International Symposium on Spatial Data Handling, pp. 149–162. Springer, Heidelberg (2005)
Leopold, J., Sabharwal, C., Ward, K.: Spatial Relations Between 3D Objects: The Association Between Natural Language, Topology, and Metrics. In: Proceedings of the Twentieth International Conference on Distributed Multimedia Systems, DMS 2014, Pittsburgh, August 27-29, pp. 241–249 (2014)
Albath, J., Leopold, J.L., Sabharwal, C.L., Maglia, A.M.: RCC-3D: Qualitative Spatial Reasoning in 3D. In: Proceedings of the 23rd International Conference on Computer Applications in Industry and Engineering, pp. 74–79 (2010)
Sabharwal, C.L., Leopold, J.L.: Cardinal Direction Relations in Qualitative Spatial Reasoning. International Journal of Computer Science & Information Technology (IJCSIT) 6(1), 1–13 (2014), doi:10.5121/ijcsit.2014.6101
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Sabharwal, C.L., Leopold, J.L. (2014). Qualitative Spatial Reasoning in 3D: Spatial Metrics for Topological Connectivity in a Region Connection Calculus. In: Prasath, R., O’Reilly, P., Kathirvalavakumar, T. (eds) Mining Intelligence and Knowledge Exploration. Lecture Notes in Computer Science(), vol 8891. Springer, Cham. https://doi.org/10.1007/978-3-319-13817-6_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-13817-6_22
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13816-9
Online ISBN: 978-3-319-13817-6
eBook Packages: Computer ScienceComputer Science (R0)