Skip to main content

The semantics of relations in 2D space using representative points: Spatial indexes

  • Data Models for Spatial and Temporal Data
  • Conference paper
  • First Online:
Spatial Information Theory A Theoretical Basis for GIS (COSIT 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 716))

Included in the following conference series:

Abstract

The paper describes spatial indexes, a 2D array structure which can be used for the representation of spatial information. A spatial index preserves only a set of spatial relations of interest, called the modelling space, and discards visual information (such as shape, size etc.) and information about irrelevant spatial relations. Every relation in the modelling space can be defined using a set of special points, called the representative points. By filling the index array cells with representative points we can gain adequate expressive power to answer queries regarding the spatial relations of the modelling space without the need to access the initial image or an object database.

Research supported by the ESPRIT basic research project 6881 (Amusing Project).

Research supported by the National Science Foundation under Grant IRI-9057573 (PYI Award).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Buisson, L. (1989) Reasoning On Space With Object-Centered Knowledge Representations. In Buchmann, A., Gunther, O., Smith, T., Wang, T., (eds.) Proceedings of the First Symposium on the Design and Implementation of Large Spatial Databases (SSD 89). Springer-Verlag.

    Google Scholar 

  2. Chang, S.K, Jungert, E., Li, Y. (1989) The Design of Pictorial Database upon the Theory of Symbolic Projections. In Buchmann, A., Gunther, O., Smith, T., Wang, T., (eds.) Proceedings of the First Symposium on the Design and Implementation of Large Spatial Databases (SSD 89). Springer-Verlag.

    Google Scholar 

  3. Egenhofer, M., Herring, J. (1990) A Mathematical Framework For The Definitions Of Topological Relationships. In Brazzel, K., Kishimoto, H. (eds.) 4th International Symposium on Spatial Data Handling.

    Google Scholar 

  4. Egenhofer, M. (1991) Reasoning About Binary Topological Relations. In Gunther, O. and Schek, H.J. (eds.) Advances in Spatial Databases. Second Symposium, SSD 91. Springer-Verlag.

    Google Scholar 

  5. Freksa, C. (1991) Qualitative Spatial Reasoning. In Mark, D.M. and Frank, A.U (eds.) Cognitive and Linguistic Aspects of Geographic Space. Kluwer, Dordrecht 91.

    Google Scholar 

  6. Glasgow, J.I, Papadias, D. (1992) Computational Imagery. Cognitive Science, 16, pp 355–394.

    Google Scholar 

  7. Hernandez, D. (1990) Using Comparative Relations to Represent Spatial Knowledge. Workshop R.A.U.M., University Koblenz.

    Google Scholar 

  8. Levine, M. (1978) A Knowledge-Based Computer Vision System. In Hanson, A. and Riseman, E. (eds.) Computer Vision Systems. New York: Academic. pp 335–352.

    Google Scholar 

  9. Samet, H. (1989) The Design And Analysis Of Spatial Data Structures. Addison Wesley.

    Google Scholar 

  10. Sellis, T., Roussopoulos, N., Faloutsos,C. (1987) The R+-tree: A Dynamic Index for Multi-Dimensional Objects. In P. Stocker and W. Kent (eds.) 13th VLDB conference, Brighton, England.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Andrew U. Frank Irene Campari

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Papadias, D., Sellis, T. (1993). The semantics of relations in 2D space using representative points: Spatial indexes. In: Frank, A.U., Campari, I. (eds) Spatial Information Theory A Theoretical Basis for GIS. COSIT 1993. Lecture Notes in Computer Science, vol 716. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57207-4_16

Download citation

  • DOI: https://doi.org/10.1007/3-540-57207-4_16

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57207-7

  • Online ISBN: 978-3-540-47966-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics