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Distributed Spatial Reasoning for Wireless Sensor Networks

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6967))

Abstract

Location-aware systems are mobile or spatially distributed computing systems, such as smart phones or sensor nodes in wireless sensor networks, enabled to react flexibly to changing environments. Due to severe restrictions of computational power on these platforms and real-time demands, most current solutions do not support advanced spatial reasoning. Qualitative Spatial Reasoning (QSR) and granularity are two mechanisms that have been suggested in order to make reasoning about spatial environments tractable. We propose an approach for combining these two techniques, so as to obtain a light-weight QSR mechanism, called partial order QSR (for brevity: PQSR), that is fast enough to allow application on small, low-cost computing devices. The key idea of PQSR is to use a core fragment of typical QSR relations, which can be expressed with partial orders and their linearizations, and to additionally delimit reasoning about these relations with a size-based granularity mechanism.

This research was partially supported by the Deutsche Forschungsgemeinschaft (DFG) in the project SenseCast (BE4319/1).

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References

  1. Beigl, M., Gray, P., Salber, D. (eds.): Workshop on Location Modeling for Ubiquitous Computing (2001), http://www.teco.edu/locationws/

  2. Berchtold, M., Riedel, T., Decker, C., Beigl, M., Bittel, C.: Quality of location: estimation, system integration and application. In: INSS. IEEE, Los Alamitos (2008)

    Google Scholar 

  3. Choudhury, T., Quigley, A.J., Strang, T., Suginuma, K. (eds.): LoCA 2009. LNCS, vol. 5561. Springer, Heidelberg (2009)

    Google Scholar 

  4. Clementini, E., Billen, R.: Modeling and computing ternary projective relations between regions. IEEE Transactions on Knowledge and Data Engineering 18(6), 799–814 (2006)

    Article  Google Scholar 

  5. 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 

  6. Ding, Y., Laue, F., Schmidtke, H.R., Beigl, M.: Sensing spaces: Light-weight monitoring of industrial facilities. In: 5th Workshop on Behaviour Monitoring and Interpretation (2010)

    Google Scholar 

  7. Euzenat, J.: Granularity in relational formalisms - with application to time and space representation. Computational Intelligence 17(3), 703–737 (2001)

    Article  MathSciNet  Google Scholar 

  8. Frank, A.: Qualitative spatial reasoning about distances and directions in geographic space. Journal of Visual Languages and Computing 3, 343–371 (1992)

    Article  Google Scholar 

  9. Gerevini, A., Renz, J.: Combining topological and size information for spatial reasoning. Artif. Intell. 137(1-2), 1–42 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  10. Goyal, R., Egenhofer, M.: Consistent queries over cardinal directions across different levels of detail. In: 11th International Workshop on Database and Expert Systems Applications, pp. 876–880. IEEE Computer Society, Los Alamitos (2000)

    Chapter  Google Scholar 

  11. Hernández, D.: Qualitative Representation of Spatial Knowledge. LNCS, vol. 804. Springer, Heidelberg (1994)

    Book  MATH  Google Scholar 

  12. Hobbs, J.: Granularity. In: Josh, A.K. (ed.) Ninth International Joint Conference on Artificial Intelligence, pp. 432–435. Morgan Kaufmann, Los Angeles (1985)

    Google Scholar 

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

    Article  Google Scholar 

  14. Randell, D., Cui, Z., Cohn, A.: A spatial logic based on region and connection. In: Knowledge Representation and Reasoning, pp. 165–176. Morgan Kaufmann, San Francisco (1992)

    Google Scholar 

  15. Schmidtke, H.R.: The house is north of the river: Relative localization of extended objects. In: Montello, D. (ed.) COSIT 2001. LNCS, vol. 2205, pp. 415–430. Springer, Heidelberg (2001)

    Google Scholar 

  16. Schmidtke, H.R.: A geometry for places: Representing extension and extended objects. In: Kuhn, W., Worboys, M., Timpf, S. (eds.) COSIT 2003. LNCS, vol. 2825, pp. 235–252. Springer, Heidelberg (2003)

    Google Scholar 

  17. Schmidtke, H.R.: Granularity as a parameter of context. In: Dey, A.K., Kokinov, B., Leake, D.B., Turner, R. (eds.) CONTEXT 2005. LNCS (LNAI), vol. 3554, pp. 450–463. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  18. Schmidtke, H.R., Woo, W.: A size-based qualitative approach to the representation of spatial granularity. In: Veloso, M.M. (ed.) International Joint Conference on Artificial Intelligence, pp. 563–568 (2007)

    Google Scholar 

  19. Schmidtke, H.R., Woo, W.: Towards ontology-based formal verification methods for context aware systems. In: Tokuda, H., Beigl, M., Friday, A., Brush, A.J.B., Tobe, Y. (eds.) Pervasive 2009. LNCS, vol. 5538, pp. 309–326. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  20. Schmidtke, H.R., Beigl, M.: Positions, regions, and clusters: Strata of granularity in location modelling. In: Dillmann, R., Beyerer, J., Hanebeck, U.D., Schultz, T. (eds.) KI 2010. LNCS (LNAI), vol. 6359, pp. 272–279. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

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Schmidtke, H.R., Beigl, M. (2011). Distributed Spatial Reasoning for Wireless Sensor Networks. In: Beigl, M., Christiansen, H., Roth-Berghofer, T.R., Kofod-Petersen, A., Coventry, K.R., Schmidtke, H.R. (eds) Modeling and Using Context. CONTEXT 2011. Lecture Notes in Computer Science(), vol 6967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24279-3_28

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  • DOI: https://doi.org/10.1007/978-3-642-24279-3_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24278-6

  • Online ISBN: 978-3-642-24279-3

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