Skip to main content

Qualitative Spatial Reasoning in a Logical Framework

  • Conference paper
AI*IA 2003: Advances in Artificial Intelligence (AI*IA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2829))

Included in the following conference series:

Abstract

In this paper we present an approach to qualitative spatial reasoning based on the spatio-temporal language STACLP 18. In particular, we show how the topological 9-intersection model 7 and the direction relations based on projections 16 can be modelled in such a framework. STACLP is a constraint logic programming language where formulae can be annotated with labels (annotations) and where relations between these labels can be expressed by using constraints. Annotations are used to represent both time and space.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Montello, D.R. (ed.): Spatial Information Theory. Foundations of Geographic Information Science. COSIT 2001. LNCS, vol. 2205. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  2. Aquilino, D., Asirelli, P., Formuso, A., Renso, C., Turini, F.: Using MedLan to Integrate Geographical Data. Journal of Logic Programming 43(1), 3–14 (2000)

    Article  Google Scholar 

  3. Clarke, B.L.: A calculus of individuals based on connection. Notre Dame Journal of Formal Logic 22(3), 204–218 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  4. Clementini, E., Di Felice, P., van Oosterom, P.: A Small Set of Formal Topological Relationships for End-User Interaction. In: Abel, D.J., Ooi, B.-C. (eds.) SSD 1993. LNCS, vol. 692, pp. 277–295. Springer, Heidelberg (1993)

    Google Scholar 

  5. Cohn, A.G., Hazarika, S.M.: Qualitative spatial representation and reasoning: an overview. Fundamenta Informaticae 45, 1–29 (2001)

    MathSciNet  Google Scholar 

  6. OpenGIS Consortium. OpenGIS Simple Features Specification For OLE/COM (1999), http://www.opengis.org/techno/specs/99-050.pdf

  7. Egenhofer, M.J.: Reasoning about binary topological relations. In: Günther, O., Schek, H.-J. (eds.) SSD 1991. LNCS, vol. 525, pp. 143–160. Springer, Heidelberg (1991)

    Google Scholar 

  8. Egenhofer, M.J.: User interfaces. In: Egenhofer, M.J. (ed.) Cognitive Aspects of Human-Computer Interaction for Geographical Information Systems, pp. 1–8. Kluwer Academic, Dordrecht (1995)

    Google Scholar 

  9. Egenhofer, M.J., Mark, D.: Naive geography. In: Kuhn, W., Frank, A.U. (eds.) COSIT 1995. LNCS, vol. 988, pp. 1–15. Springer, Heidelberg (1995)

    Google Scholar 

  10. Frank, A.: Qualitative spatial reasoning: Cardinal directions as an example. International Journal of Geographical Information Science 10(3), 269–290 (1996)

    Article  Google Scholar 

  11. Frühwirth, T.: Temporal Annotated Constraint Logic Programming. Journal of Symbolic Computation 22, 555–583 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  12. Goyal, R.K.: Similarity assessment for cardinal directions between extended spatial objects. Technical report, The University of Maine, PhD Thesis (2000)

    Google Scholar 

  13. Goyal, R.K., Egenhofer, M.J.: Cardinal directions between extended spatial objects. IEEE Transactions on Knowledge and Data Engineering (in press)

    Google Scholar 

  14. Orsini, E.: Ragionamento Spazio-Temporale basato su logica, vincoli e annotazioni. Master’s thesis, Dipartimento di Informatica, Università di Pisa (2001)

    Google Scholar 

  15. Papadias, D., Sellis, T., Theodoridis, Y., Egenhofer, M.J.: Topological relations in the world of minimum bounding rectangles: a study with R-trees. In: ACM SIGMOD Int. Conf. on Management of Data, pp. 92–103 (1995)

    Google Scholar 

  16. Papadias, D., Theodoridis, Y.: Spatial relations, minimum bounding rectangles, and spatial data structures. International Journal of Geographical Information Science 11(2), 111–138 (1997)

    Article  Google Scholar 

  17. Peuquet, D., Zhan, C.-X.: An algorithm to determine the directional relationship between arbitrarily-shaped polygons in the plane. Pattern Recognition 20(1), 65–74 (1987)

    Article  Google Scholar 

  18. Raffaetà, A., Frühwirth, T.: Spatio-temporal annotated constraint logic programming. In: Ramakrishnan, I.V. (ed.) PADL 2001. LNCS, vol. 1990, pp. 259–273. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  19. Randell, D.A., Cui, Z., Cohn, A.G.: A spatial logic based on region and connection. In: Principles of Knowledge Representation and Reasoning, pp. 165–176. Morgan Kaufmann, San Francisco (1992)

    Google Scholar 

  20. Zimmermann, K., Freksa, C.: Qualitative Spatial Reasoning Using Orientation, Distance, and Path Knowledge. Applied Intelligence 6, 46–58 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Raffaetà, A., Renso, C., Turini, F. (2003). Qualitative Spatial Reasoning in a Logical Framework. In: Cappelli, A., Turini, F. (eds) AI*IA 2003: Advances in Artificial Intelligence. AI*IA 2003. Lecture Notes in Computer Science(), vol 2829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39853-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39853-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20119-9

  • Online ISBN: 978-3-540-39853-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics