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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3578))

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Abstract

In this article, we investigate the problem of checking consistency in a hybrid formalism, which combines two essential formalisms in qualitative spatial reasoning: topological formalism and cardinal direction formalism. Instead of using conventional composition tables, we investigate the interactions between topological and cardinal directional relations with the aid of rules that are used efficiently in many research fields such as content-based image retrieval. These rules are shown to be sound, i.e. the deductions are logically correct. Based on these rules, an improved constraint propagation algorithm is introduced to enforce the path consistency.

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References

  1. Gerevini, A., Renz, J.: Combining Topological and Size Constraints for Spatial Reasoning. Artificial Intelligence (AIJ) 137(1-2), 1–42 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Isli, A., Haarslev, V., Moller, R.: Combining cardinal direction relations and relative orientation relations in Qualitative Spatial Reasoning. Fachbereich Informatik, University Hamburg, Technical report FBI-HH-M-304/01 (2001)

    Google Scholar 

  3. Sharma, J.: Integrated spatial reasoning in geographic information systems: combining topology and direction. Ph.D. Thesis, Department of Spatial Information Science and Engineering, University of Maine, Orono, ME (1996)

    Google Scholar 

  4. Allen, J.F.: Maintaining knowledge about temporal intervals. Communications of the ACM 26(11), 832–843 (1983)

    Article  MATH  Google Scholar 

  5. Prasad Sistla, A., Yu, C.T., Haddad, R.: Reasoning About Spatial Relations in Picture Retrieval Systems. In: 20th International Conference on Very Large Data Bases, pp. 570–581. Morgan Kaufmann, San Francisco (1994)

    Google Scholar 

  6. Egenhofer, M.: A Formal Definition of Binary Topological Relations. In: Litwin, W., Schek, H.-J. (eds.) FODO 1989. LNCS, vol. 367, pp. 457–472. Springer, Heidelberg (1989)

    Google Scholar 

  7. Randell, D., Cui, Z., Cohn, A.: A spatial logic based on regions and connection. In: Nebel, B., Rich, C., Swartout, W. (eds.) Proc. of the Knowledge Representation and Reasoning, pp. 165–176. Morgan Kaufmann, San Mateo (1992)

    Google Scholar 

  8. Goyal, R., Egenhofer, M.: Cardinal Directions between Extended Spatial Objects. IEEE Transactions on Knowledge and Data Engineering (2000) (to be published)

    Google Scholar 

  9. Skiadopoulos, S., Koubarakis, M.: Composing cardinal direction relations. Artificial Intelligence 152(2), 143–171 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Randell, D.A., Cohn, A.G., Cui, Z.: Computing Transitivity Tables: A Challenge For Automated Theorem Provers. In: Kapur, D. (ed.) CADE 1992. LNCS, vol. 607, pp. 786–790. Springer, Heidelberg (1992)

    Google Scholar 

  11. Cicerone, S., Felice, P.D.: Cardinal directions between spatial objects: the pairwise-consistency problem. Information Sciences 164, 165–188 (2004)

    Article  MATH  MathSciNet  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Li, W., Sun, H. (2005). New Rules for Hybrid Spatial Reasoning. In: Gallagher, M., Hogan, J.P., Maire, F. (eds) Intelligent Data Engineering and Automated Learning - IDEAL 2005. IDEAL 2005. Lecture Notes in Computer Science, vol 3578. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11508069_3

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  • DOI: https://doi.org/10.1007/11508069_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26972-4

  • Online ISBN: 978-3-540-31693-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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