Skip to main content

An Image-Schematic Account of Spatial Categories

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4736))

Abstract

How we categorize certain objects depends on the processes they afford: something is a vehicle because it affords transportation, a house because it offers shelter or a watercourse because water can flow in it. The hypothesis explored here is that image schemas (such as LINK, CONTAINER, SUPPORT, and PATH) capture abstractions that are essential to model affordances and, by implication, categories. To test the idea, I develop an algebraic theory formalizing image schemas and accounting for the role of affordances in categorizing spatial entities.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bateman, J., Farrar, S.: General Ontology Baseline. Bremen, Germany, SFB/TR8 Spatial Cognition, University of Bremen (2004), Available from http://134.102.58.154/i1/materials/deliverables/del1.pdf

  2. Bittner, T., Smith, B.: Individuals, Universals, Collections: On the Foundational Relations of Ontology. In: Varzi, A.C., Vieu, L. (eds.) Proceedings of the Third International Conference on Formal Ontology in Information Systems (FOIS 2004), pp. 37–48. IOC Press (2004)

    Google Scholar 

  3. Degen, W., Heller, B., et al.: Contributions to the Ontological Foundation of Knowledge Modelling. Leipzig, Institute for Computer Science (2001), Available from http://lips.informatik.uni-leipzig.de:80/pub/2001-12/en

  4. Donnelly, M., Bittner, T.: Spatial relations between classes of individuals. In: Cohn, A.G., Mark, D.M. (eds.) COSIT 2005. LNCS, vol. 3693, pp. 182–199. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Egenhofer, M.J., Rodríguez, A.M.: Relation algebras over containers and surfaces: An ontological study of a room space. Spatial Cognition and Computation 1(2), 155–180 (1999)

    Article  Google Scholar 

  6. Ehrig, H., Mahr, B.: Fundamentals of Algebraic Specification. Springer, Berlin (1985)

    MATH  Google Scholar 

  7. Frank, A.: Ontology for spatio-temporal Databases. In: Sellis, T., Koubarakis, M., Frank, A., Grumbach, S., Güting, R.H., Jensen, C., Lorentzos, N.A., Manolopoulos, Y., Nardelli, E., Pernici, B., Theodoulidis, B., Tryfona, N., Schek, H.-J., Scholl, M.O. (eds.) Spatio-Temporal Databases. LNCS, vol. 2520, pp. 9–77. Springer, Heidelberg (2003)

    Google Scholar 

  8. Frank, A.U., Kuhn, W.: Specifying Open GIS with Functional Languages. In: Egenhofer, M.J., Herring, J.R. (eds.) SSD 1995. LNCS, vol. 951, pp. 184–195. Springer, Heidelberg (1995)

    Google Scholar 

  9. Frank, A.U., Kuhn, W.: A specification language for interoperable GIS. In: Goodchild, M.F., Egenhofer, M.J., Fegeas, R., Kottman, C.A. (eds.) Interoperating Geographic Information Systems (Proceedings of Interop 1997), pp. 123–132. Kluwer, Norwell, MA (1999)

    Google Scholar 

  10. Frank, A.U., Raubal, M.: Formal Specifications of Image Schemata - A Step to Interoperability in Geographic Information Systems. Spatial Cognition and Computation 1(1), 67–101 (1999)

    Article  Google Scholar 

  11. Gangemi, A., Guarino, N., et al.: Sweetening WordNet with DOLCE. AI Magazine 24(3), 13–24 (2003)

    Google Scholar 

  12. Gangemi, A., Mika, P.: Understanding the semantic web through descriptions and situations. In: Proceedings of Coopis / DOA / ODBASE. LNCS, pp. 689–706. Springer, Heidelberg (2003)

    Google Scholar 

  13. Gibson, J.: The Ecological Approach to Visual Perception. Boston, Houghton Mifflin Company (1979)

    Google Scholar 

  14. Goguen, J.: Types as Theories. In: Reed, G.M., Roscoe, A.W., Wachter, R.F. (eds.) Topology and Category Theory in Computer Science, pp. 357–390. Oxford University Press, Oxford (1991)

    Google Scholar 

  15. Goguen, J.A.: Data, Schema, Ontology and Logic Integration. Logic Journal of IGPL 13(6), 685 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  16. Gruninger, M., Kopena, J.: Planning and the Process Specification Language. In: Olivares, J., Onaindía, E. (eds.) Proceedings of the Workshop on the Role of Ontologies in Planning and Scheduling, ICAPS, pp. 22–29 (2005)

    Google Scholar 

  17. Guarino, N.: Formal ontology and information systems. In: Proceedings of Formal Ontology and Information Systems, Trento, Italy, pp. 3–15. IOS Press, Amsterdam (1998)

    Google Scholar 

  18. Guarino, N., Welty, C.: Evaluating ontological decisions with OntoClean. Communications of the ACM 45(2), 61–65 (2002)

    Article  Google Scholar 

  19. Hart, G., Temple, S., et al.: Tales of the River Bank, First Thoughts in the Development of a Topographic Ontology. In: 7th Conference on Geographic Information Science (AGILE 2004), Heraklion, Greece, pp. 169–178 (2004)

    Google Scholar 

  20. Hood, J., Galton, A.: Implementing Anchoring. In: Raubal, M., Miller, H.J., Frank, A.U., Goodchild, M.F. (eds.) GIScience 2006. LNCS, vol. 4197, pp. 168–185. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  21. Johnson, M.: The Body in the Mind: The Bodily Basis of Meaning, Imagination, and Reason. The University of Chicago Press, Chicago (1987)

    Google Scholar 

  22. Kuhn, W.: Ontologies in support of activities in geographical space. International Journal of Geographical Information Science 15(7), 613–631 (2001)

    Article  Google Scholar 

  23. Kuhn, W.: Modeling the Semantics of Geographic Categories through Conceptual Integration. In: Egenhofer, M.J., Mark, D.M. (eds.) GIScience 2002. LNCS, vol. 2478, pp. 108–118. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  24. Kuhn, W.: Semantic Reference Systems. International Journal of Geographic Information Science (Guest Editorial) 17(5), 405–409 (2003)

    Article  Google Scholar 

  25. Kuhn, W., Raubal, M.: Implementing Semantic Reference Systems. In: Gould, M., Laurini, R., Coulondre, S. (eds.) AGILE 2003 - 6th AGILE Conference on Geographic Information Science. Presses Polytechniques et Universitaires Romandes, Lyon, France, pp. 63–72 (2003)

    Google Scholar 

  26. Kuhn, W., Raubal, M., et al.: Cognitive Semantics and Spatio-Temporal Ontologies. Introduction to a special issue of Spatial Cognition and Computation 7(1) (2007)

    Google Scholar 

  27. Lakoff, G.: The Invariance Hypothesis: is abstract reason based on image-schemas? Cognitive Linguistics 1(1), 39–74 (1990)

    Article  Google Scholar 

  28. Lakoff, G., Johnson, M.: Metaphors We Live By. The University of Chicago Press, Chicago, IL (1980)

    Google Scholar 

  29. Lakoff, G.P.: Women, Fire, and Dangerous Things. What Categories Reveal about the Mind. University of Chicago Press, Chicago, IL (1987)

    Google Scholar 

  30. Lüttich, K.: Approximation of Ontologies in CASL. In: International Conference on Formal Ontology in Information Systems (FOIS 2006), Baltimore, Maryland, November 9–11, pp. 335–346. IOS Press, Amsterdam (2006)

    Google Scholar 

  31. Masolo, C., Borgo, S., et al.: WonderWeb Deliverable D18 (2004), Available from http://wonderweb.semanticweb.org/deliverables/documents/D18.pdf

  32. Oakley, T.: Image Schema. In: Geeraerts, D., Cuyckens, H. (eds.) Handbook of Cognitive Linguistics, Oxford University Press, Oxford (2007)

    Google Scholar 

  33. Pustejovsky, J.: The Generative Lexicon. MIT Press, Cambridge, MA (1998)

    Google Scholar 

  34. Raubal, M., Egenhofer, M., et al.: Structuring Space with Image Schemata: Wayfinding in Airports as a Case Study. In: Frank, A.U. (ed.) COSIT 1997. LNCS, vol. 1329, pp. 85–102. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  35. Raubal, M., Gartrell, B., et al.: An Affordance-Based Model of Place. In: Poiker, T., Chrisman, N., eds. 8th International Symposium on Spatial Data Handling, SDH 1998, Vancouver, Canada, pp. 98–109 (1998)

    Google Scholar 

  36. Raubal, M., Kuhn, W.: Ontology-Based Task Simulation. Spatial Cognition and Computation 4(1), 15–37 (2004)

    Article  Google Scholar 

  37. Raubal, M., Worboys, M.: A Formal Model of the Process of Wayfinding in Built Environments. In: Freksa, C., Mark, D.M. (eds.) COSIT 1999. LNCS, vol. 1661, pp. 381–399. Springer, Heidelberg (1999)

    Google Scholar 

  38. Rugg, R., Egenhofer, M., et al.: Formalizing Behavior of Geographic Feature Types. Geographical Systems 4(2), 159–180 (1997)

    Google Scholar 

  39. Smith, B., Varzi, A.C.: The Niche. Noûs 33(2), 214–223 (1999)

    MathSciNet  Google Scholar 

  40. Sowa, J.F.: Knowledge Representation. Logical, Philosophical, and Computational Foundations. Brooks Cole, Pacific Grove, CA (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Stephan Winter Matt Duckham Lars Kulik Ben Kuipers

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kuhn, W. (2007). An Image-Schematic Account of Spatial Categories. In: Winter, S., Duckham, M., Kulik, L., Kuipers, B. (eds) Spatial Information Theory. COSIT 2007. Lecture Notes in Computer Science, vol 4736. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74788-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74788-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74786-4

  • Online ISBN: 978-3-540-74788-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics