Skip to main content

Qualitative Spatial Representation and Reasoning in the SparQ-Toolbox

  • Conference paper
Book cover Spatial Cognition V Reasoning, Action, Interaction (Spatial Cognition 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4387))

Included in the following conference series:

Abstract

A multitude of calculi for qualitative spatial reasoning (QSR) have been proposed during the last two decades. The number of practical applications that make use of QSR techniques is, however, comparatively small. One reason for this may be seen in the difficulty for people from outside the field to incorporate the required reasoning techniques into their software. Sometimes, proposed calculi are only partially specified and implementations are rarely available. With the SparQ toolbox presented in this text, we seek to improve this situation by making common calculi and standard reasoning techniques accessible in a way that allows for easy integration into applications. We hope to turn this into a community effort and encourage researchers to incorporate their calculi into SparQ. This text is intended to present SparQ to potential users and contributors and to provide an overview on its features and utilization.

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. Cohn, A.G., Hazarika, S.M.: Qualitative spatial representation and reasoning: An overview. Fundamenta Informaticae 46(1-2), 1–29 (2001)

    MathSciNet  MATH  Google Scholar 

  2. Allen, J.F.: Maintaining knowledge about temporal intervals. Communications of the ACM, 832–843 (1983)

    Google Scholar 

  3. Randell, D.A., Cui, Z., Cohn, A.: A spatial logic based on regions and connection. In: Nebel, B., Rich, C., Swartout, W. (eds.) Principles of Knowledge Representation and Reasoning: Proceedings of the Third International Conference (KR 1992), pp. 165–176. Morgan Kaufmann, San Francisco (1992)

    Google Scholar 

  4. Egenhofer, M.J.: A formal definition of binary topological relationships. In: 3rd International Conference on Foundations of Data Organization and Algorithms, pp. 457–472. Springer, Heidelberg (1989)

    Chapter  Google Scholar 

  5. Renz, J., Nebel, B.: On the complexity of qualitative spatial reasoning: A maximal tractable fragment of the region connection calculus. Artificial Intelligence 108(1-2), 69–123 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  6. Freksa, C.: Using orientation information for qualitative spatial reasoning. In: Frank, A.U., Campari, I., Formentini, U. (eds.) Theories and methods of spatio-temporal reasoning in geographic space, pp. 162–178. Springer, Heidelberg (1992)

    Chapter  Google Scholar 

  7. Frank, A.: Qualitative spatial reasoning about cardinal directions. In: Proceedings of the American Congress on Surveying and Mapping ACSM-ASPRS, Baltimore, Maryland, USA, pp. 148–167 (1991)

    Google Scholar 

  8. Ligozat, G.: Reasoning about cardinal directions. Journal of Visual Languages and Computing 9, 23–44 (1998)

    Article  Google Scholar 

  9. Ligozat, G.: Qualitative triangulation for spatial reasoning. In: Campari, I., Frank, A.U. (eds.) COSIT 1993. LNCS, vol. 716, pp. 54–68. Springer, Heidelberg (1993)

    Google Scholar 

  10. Moratz, R., Nebel, B., Freksa, C.: Qualitative spatial reasoning about relative position: The tradeoff between strong formal properties and successful reasoning about route graphs. In: Freksa, C., Brauer, W., Habel, C., Wender, K.F. (eds.) Spatial Cognition III. LNCS (LNAI), vol. 2685, pp. 385–400. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Moratz, R., Dylla, F., Frommberger, L.: A relative orientation algebra with adjustable granularity. In: Proceedings of the Workshop on Agents in Real-Time and Dynamic Environments (IJCAI 2005) (2005)

    Google Scholar 

  12. Renz, J., Mitra, D.: Qualitative direction calculi with arbitrary granularity. [34]

    Google Scholar 

  13. Schlieder, C.: Reasoning about ordering. In: Kuhn, W., Frank, A.U. (eds.) COSIT 1995. LNCS, vol. 988, pp. 341–349. Springer, Heidelberg (1995)

    Google Scholar 

  14. Moratz, R., Renz, J., Wolter, D.: Qualitative spatial reasoning about line segments. In: Horn, W. (ed.) Proceedings of the 14th European Conference on Artificial Intelligence (ECAI), IOS Press, Berlin, Germany (2000)

    Google Scholar 

  15. Dylla, F., Moratz, R.: Exploiting qualitative spatial neighborhoods in the situation calculus. [35], pp. 304–322

    Google Scholar 

  16. Billen, R., Clementini, E.: A model for ternary projective relations between regions. In: Bertino, E., Christodoulakis, S., Plexousakis, D., Christophides, V., Koubarakis, M., Böhm, K., Ferrari, E. (eds.) EDBT 2004. LNCS, vol. 2992, pp. 310–328. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Goyal, R.K., Egenhofer, M.J.: Consistent queries over cardinal directions across different levels of detail. In: Tjoa, A.M., Wagner, R., Al-Zobaidie, A. (eds.) Proceedings of the 11th International Workshop on Database and Expert System Applications, Greenwich, pp. 867–880. IEEE Computer Society Press, Los Alamitos (2000)

    Google Scholar 

  18. Sharma, J.: Integrated Spatial Reasoning in Geographic Information Systems: Combining Topology and Direction. PhD thesis, University of Maine (1996)

    Google Scholar 

  19. Gerevini, A., Renz, J.: Combining topological and size information for spatial reasoning. Artificial Intelligence 137, 1–42 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  20. Condotta, J.F., Ligozat, G., Saade, M.: A generic toolkit for n-ary qualitative temporal and spatial calculi. In: Proceedings of the 13th International Symposium on Temporal Representation and Reasoning (TIME 2006), Budapest, Hungary (2006)

    Google Scholar 

  21. Wölfl, S., Mossakowski, T.: CASL specifications of qualitative calculi. In: Cohn, A.G., Mark, D.M. (eds.) COSIT 2005. LNCS, vol. 3693, Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  22. Röhrig, R.: Representation and processing of qualitative orientation knowledge. In: Brewka, G., Habel, C., Nebel, B. (eds.) KI 1997: Advances in Artificial Intelligence. LNCS, vol. 1303, pp. 219–230. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  23. Zimmermann, K., Freksa, C.: Qualitative spatial reasoning using orientation, distance, and path knowledge. Applied Intelligence 6, 49–58 (1996)

    Article  Google Scholar 

  24. Scivos, A., Nebel, B.: Double-crossing: Decidability and computational complexity of a qualitative calculus for navigation. In: Montello, D.R. (ed.) COSIT 2001. LNCS, vol. 2205, Springer, Heidelberg (2001)

    Google Scholar 

  25. Ladkin, P., Reinefeld, A.: Effective solution of qualitative constraint problems. Artificial Intelligence 57, 105–124 (1992)

    Article  MathSciNet  Google Scholar 

  26. van Beek, P.: Reasoning about qualitative temporal information. Artificial Intelligence 58(1-3), 297–321 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  27. Renz, J., Ligozat, G.: Weak composition for qualitative spatial and temporal reasoning. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 534–548. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  28. Ligozat, G., Renz, J.: What is a qualitative calculus? A general framework [34]

    Google Scholar 

  29. Scivos, A., Nebel, B.: The finest of its class: The practical natural point-based ternary calculus \(\mathcal{LR}\) for qualitative spatial reasoning [35], pp. 283–303

    Google Scholar 

  30. Wallgrün, J.O., Frommberger, L., Dylla, F., Wolter, D.: SparQ user manual v0.6. Technical Report 007-07/2006, SFB/TR 8 Spatial Cognition; Universität Bremen (2006)

    Google Scholar 

  31. Dylla, F., Moratz, R.: Empirical complexity issues of practical qualitative spatial reasoning about relative position. In: Workshop on Spatial and Temporal Reasoning at ECAI 2004, Valencia, Spain (2004)

    Google Scholar 

  32. Röhrig, R.: Repräsentation und Verarbeitung von qualitativem Orientierungswissen. PhD thesis, University of Hamburg (1998)

    Google Scholar 

  33. Freksa, C.: Temporal reasoning based on semi-intervals. Artificial Intelligence 1(54), 199–227 (1992)

    Article  MathSciNet  Google Scholar 

  34. Zhang, C., Guesgen, H.W., Yeap, W.-K. (eds.): PRICAI 2004. LNCS (LNAI), vol. 3157. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  35. Freksa, C., Knauff, M., Krieg-Brückner, B., Nebel, B., Barkowsky, T. (eds.): Spatial Cognition IV. LNCS (LNAI), vol. 3343. Springer, Heidelberg (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wallgrün, J.O., Frommberger, L., Wolter, D., Dylla, F., Freksa, C. (2007). Qualitative Spatial Representation and Reasoning in the SparQ-Toolbox. In: Barkowsky, T., Knauff, M., Ligozat, G., Montello, D.R. (eds) Spatial Cognition V Reasoning, Action, Interaction. Spatial Cognition 2006. Lecture Notes in Computer Science(), vol 4387. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75666-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-75666-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75665-1

  • Online ISBN: 978-3-540-75666-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics