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Combining Topological and Directional Information: First Results

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Knowledge Science, Engineering and Management (KSEM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4092))

Abstract

Representing and reasoning about spatial information is important in artificial intelligence and geographical information science. Relations between spatial entities are the most important kind of spatial information. Most current formalisms of spatial relations focus on one single aspect of space. This contrasts sharply with real world applications, where several aspects are usually involved together. This paper proposes a qualitative calculus that combines a simple directional relation model with the well-known topological RCC5 model. We show by construction that the consistency of atomic networks can be decided in polynomial time.

This work was partly supported by the Alexander von Humboldt Foundation and the National Natural Science Foundation of China (60305005, 60321002, 60496321).

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References

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

    Google Scholar 

  2. Düntsch, I., Wang, H., McCloskey, S.: A relation-algebraic approach to the Region Connection Calculus. Theoretical Computer Science 255, 63–83 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Li, S., Ying, M.: Region Connection Calculus: Its models and composition table. Artificial Intelligence 145(1-2), 121–146 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Renz, J., Nebel, B.: On the complexity of qualitative spatial reasoning: A maximal tractable fragment of the RegionConnection Calculus. Artificial Intelligence 108, 69–123 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  5. Li, S.: On topological consistency and realization. Constraints 11(1), 31–51 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  6. Li, S., Wang, H.: RCC8 binary constraint network can be consistently extended. Artif. Intell. 170(1), 1–18 (2006)

    Article  MATH  Google Scholar 

  7. Frank, A.U.: Qualitative spatial reasoning about cardinal directions. In: Proceedings of the 7th Austrian Conference on Artificial Intelligence, pp. 157–167 (1991)

    Google Scholar 

  8. Ligozat, G.: Reasoning about cardinal directions. J. Vis. Lang. Comput. 9(1), 23–44 (1998)

    Article  Google Scholar 

  9. Balbiani, P., Condotta, J.F., del Cerro, L.F.: A new tractable subclass of the rectangle algebra. In: Dean, T. (ed.) IJCAI, pp. 442–447. Morgan Kaufmann, San Francisco (1999)

    Google Scholar 

  10. Allen, J.: Maintaining knowledge about temporal intervals. Communications of the ACM 26, 832–843 (1983)

    Article  MATH  Google Scholar 

  11. Goyal, R., Egenhofer, M.J.: The direction-relation matrix: A representation for directions relations between extended spatial objects. In: The Annual Assembly and the Summer Retreat of University Consortium for Geographic Information Systems Science (1997)

    Google Scholar 

  12. Skiadopoulos, S., Koubarakis, M.: On the consistency of cardinal direction constraints. Artif. Intell. 163(1), 91–135 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. Golumbic, M.C., Shamir, R.: Complexity and algorithms for reasoning about time: a graph-theoretic approach. J. ACM 40(5), 1108–1133 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  14. Sistla, A.P., Yu, C.T.: Reasoning about qualitative spatial relationships. Journal of Automated Reasoning 25(4), 291–328 (2000)

    Article  MATH  MathSciNet  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Li, S. (2006). Combining Topological and Directional Information: First Results. In: Lang, J., Lin, F., Wang, J. (eds) Knowledge Science, Engineering and Management. KSEM 2006. Lecture Notes in Computer Science(), vol 4092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11811220_22

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  • DOI: https://doi.org/10.1007/11811220_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37033-8

  • Online ISBN: 978-3-540-37035-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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