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Qualitative Spatio-Temporal Continuity

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Spatial Information Theory (COSIT 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2205))

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Abstract

We explore different intuitive notions of spatio-temporal continuity and give a formal characterization of continuity for space-time histories. We investigate the types of transitions possible for the RCC-8 topological relations under each distinct notion of spatio-temporal continuity and provide a hierarchy of conceptual neighbourhood diagrams.

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References

  1. J F Allen, ‘Towards a general theory of action and time’, Artificial Intelligence, 23(2), 123–154, (1984).

    Article  MATH  Google Scholar 

  2. R Carnap, Introduction to Symbolic Logic and its Applications, Dover Publications, Inc., New York, 1958. Translated by W H Meyer and J Wilkinson.

    MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  4. A G Cohn, B Bennett, J Gooday, and N Gotts, ‘RCC: A Calculus for Region based Qualitative Spatial Reasoning’, GeoInformatica, 1, 275–316, (1997).

    Article  Google Scholar 

  5. A G Cohn and S M Hazarika, ‘Continuous transitions in mereotopology’, in Commonsense-2001: 5th Symp. on Logical Formalizations of Commonsense Reasoning, New York, (2001).

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  7. A. G. Cohn and A. Varzi, ‘Connection relations in mereotopology’, in Proceedings of ECAI-98, ed., H. Prade, pp. 150–154. John Wiley & Sons, (August 1998).

    Google Scholar 

  8. A G Cohn and A Varzi, ‘Modes of connection’, in Proceedings of COSIT-99, eds., C. Freksa and D.M. Mark, LNCS No. 1661, pp. 299–314. Springer-Verlag, (1999).

    Google Scholar 

  9. E Davis, ‘Continuous shape transformation and metrics of shape’, Fundamenta Informaticae, 46(1-2), 31–54, (2001).

    MATH  MathSciNet  Google Scholar 

  10. I Düntsch, H Wang, and S McCloskey, ‘A relation-algebraic approach to Region Connection Calculus’, Theoretical Computer Science, 255, 63–83, (2001).

    Article  MATH  MathSciNet  Google Scholar 

  11. A P Galton, Qualitative Spatial Change, Oxford University Press, 2000.

    Google Scholar 

  12. N M Gotts, J M Gooday, and A G Cohn, ‘A connection based approach to common-sense topological description and reasoning’, The Monist, 79(1), 51–75, (1996).

    Google Scholar 

  13. P. J. Hayes, ‘Naive physics I: Ontology for liquids’, in Formal Theories of the Commonsense World, eds., J. R. Hubbs and R. C. Moore, 71–89, Ablex Publ. Corp., Norwood, NJ, (1985).

    Google Scholar 

  14. M Heller, The Ontology of Physical Objects: Four Dimensional Hunks of Matter, Cambridge University Press, Cambridge, 1990.

    Google Scholar 

  15. NIMA (National Imagery and Mapping Agency), ‘The big idea framework’. Available from http://www.opengis.org/thebigidea/, (2000).

  16. P. Muller, ‘A qualitative theory of motion based on spatio-temporal primitives’, in Proceedings of KR-98, ed., A. G. Cohn et al., pp. 131–141. Morgan Kaufman, (1998).

    Google Scholar 

  17. P. Muller, ‘Space-time as a primitive for space and motion’, in Formal ontology in Information Systems, ed., N. Guarino, pp. 63–76. IOS Press, (1998).

    Google Scholar 

  18. J. Nicod, Geometry in the Sensible World, Doctoral thesis, Sorbonne, 1924. English translation in Geometry and Induction, Routledge and Kegan Paul, 1969.

    Google Scholar 

  19. D. A. Randell, Z. Cui, and A. G. Cohn, ‘A spatial logic based on regions and connection’, in Proceedings of KR-92, ed., B. Nebel et al., pp. 165–176. Morgan Kaufmann, (1992).

    Google Scholar 

  20. B.A.W. Russell, Our Knowledge of the External World, Routledge, 1914.

    Google Scholar 

  21. P Simons, Parts: A Study In Ontology, Clarendon Press, Oxford, 1987.

    Google Scholar 

  22. L Vieu, Sémantique des relations spatiales et inférences spatio-temporelles: une contribution á l’étude des structures formelles de l’espace en langage naturel, Ph.D. dissertation, Université Paul Sabatier, Toulouse, 1991.

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Computing, University of Leeds, Leeds, LS2 9JT, UK

    Shyamanta M. Hazarika & Anthony G. Cohn

Authors
  1. Shyamanta M. Hazarika
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  2. Anthony G. Cohn
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Editor information

Editors and Affiliations

  1. Department of Geography, University of California, Santa Barbara, CA, 93106, USA

    Daniel R. Montello

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© 2001 Springer-Verlag Berlin Heidelberg

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Hazarika, S.M., Cohn, A.G. (2001). Qualitative Spatio-Temporal Continuity. In: Montello, D.R. (eds) Spatial Information Theory. COSIT 2001. Lecture Notes in Computer Science, vol 2205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45424-1_7

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  • DOI: https://doi.org/10.1007/3-540-45424-1_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42613-4

  • Online ISBN: 978-3-540-45424-3

  • eBook Packages: Springer Book Archive

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