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Compressing Spatio-temporal Trajectories

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Algorithms and Computation (ISAAC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4835))

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Abstract

Trajectory data is becoming increasingly available and the size of the trajectories is getting larger. In this paper we study the problem of compressing spatio-temporal trajectories such that the most common queries can still be answered approximately after the compression step has taken place. In the process we develop an O(n logk n)-time implementation of the Douglas-Peucker algorithm in the case when the polygonal path of n vertices given as input is allowed to self-intersect.

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References

  1. Agarwal, P.K., Varadarajan, K.R.: Efficient algorithms for approximating polygonal chains. Discrete & Computational Geometry 23(2), 273–291 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. Aronov, B., Bose, P., Demaine, E.D., Gudmundsson, J., Iacono, J., Langerman, S., Smid, M.: Data structures for halfplane proximity queries and incremental Voronoi diagrams. In: Correa, J.R., Hevia, A., Kiwi, M. (eds.) LATIN 2006. LNCS, vol. 3887, pp. 80–92. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  3. Cao, H., Wolfson, O., Trajcevski, G.: Spatio-temporal data reduction with deterministic error bounds. In: Proceedings of the 2003 Joint Workshop on Foundations of Mobile Computing, pp. 33–42. ACM Press, New York (2003)

    Chapter  Google Scholar 

  4. Cao, H., Wolfson, O., Trajcevski, G.: Spatio-temporal data reduction with deterministic error bounds. The VLDB Journal 15(3), 211–228 (2006)

    Article  Google Scholar 

  5. Chan, W.S., Chin, F.: Approximation of polygonal curves with minimum number of line segments. In: Ibaraki, T., Iwama, K., Yamashita, M., Inagaki, Y., Nishizeki, T. (eds.) ISAAC 1992. LNCS, vol. 650, pp. 378–387. Springer, Heidelberg (1992)

    Google Scholar 

  6. Douglas, D.H., Peucker, T.K.: Algorithms for the reduction of the number of points required to represent a digitized line or its caricature. The Canadian Cartographer 10(2), 112–122 (1973)

    Google Scholar 

  7. Frank, A.U.: Socio-Economic Units: Their Life and Motion. In: Frank, A.U., Raper, J., Cheylan, J.P. (eds.) Life and motion of socio-economic units. GISDATA, vol. 8, pp. 21–34. Taylor & Francis, London (2001)

    Google Scholar 

  8. Gudmundsson, J., Laube, P., Wolle, T.: Encyclopedia of GIS. In: Movement Patterns in Spatio-Temporal Data, Springer (to appear)

    Google Scholar 

  9. Güting, R., Boehlen, M.H., Erwig, M., Jensen, C.S., Lorentzos, N., Nardelli, E., Schneider, M., Vazirgiannis, M.: A Foundation for representing and querying moving objects. ACM Transactions on Database Systems 25(1), 1–42 (2005)

    Article  Google Scholar 

  10. Hershberger, J., Snoeyink, J.: Speeding up the Douglas-Peucker line-simplification algorithm. In: Proceedings of the 5th International Symposium on Spatial Data Handling, pp. 134–143. IGU Commission on GIS (1992)

    Google Scholar 

  11. Hershberger, J., Snoeyink, J.: Cartographic line simplification and polygon CSG formulæ in O(n log* n) time. Computational Geometry—Theory and Applications 11(3–4), 175–185 (1998)

    MATH  MathSciNet  Google Scholar 

  12. Hulbert, I.A.R.: GPS and its use in animal telemetry: The next five years. In: Sibbald, A.M., Gordon, I.J. (eds.) Proceedings of the Conference on Tracking Animals with GPS, Aberdeen, UK, pp. 51–60. Macaulay Insitute (2001)

    Google Scholar 

  13. Imai, H., Iri, M.: Computational-geometric methods for polygonal approximations of a curve. Computer Vision, Graphics, and Image Processing 36(1), 31–41 (1986)

    Article  Google Scholar 

  14. Kwan, M.P.: Interactive geovisualization of activity-travel patterns using three dimensional geographical information systems: A methodological exploration with a large data set. Transportation Research Part C 8(1–6), 185–203 (2000)

    Article  Google Scholar 

  15. Melkman, A., O’Rourke, J.: On polygonal chain approximation. In: Computational Morphology, pp. 87–95. North-Holland, Amsterdam (1988)

    Google Scholar 

  16. Overmars, M., van Leeuwen, J.: Maintenance of configurations in the plane. Journal of Computer and System Sciences 23(2), 166–204 (1981)

    Article  MATH  MathSciNet  Google Scholar 

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Takeshi Tokuyama

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© 2007 Springer-Verlag Berlin Heidelberg

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Gudmundsson, J., Katajainen, J., Merrick, D., Ong, C., Wolle, T. (2007). Compressing Spatio-temporal Trajectories. In: Tokuyama, T. (eds) Algorithms and Computation. ISAAC 2007. Lecture Notes in Computer Science, vol 4835. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77120-3_66

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  • DOI: https://doi.org/10.1007/978-3-540-77120-3_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77118-0

  • Online ISBN: 978-3-540-77120-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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