Periodic Multi-labeling of Public Transit Lines

  • Valentin Polishchuk
  • Arto Vihavainen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6292)

Abstract

We designed and implemented a simple and fast heuristic for placing multiple labels along edges of a planar network. As a testbed, real-world data from Google Transit is taken: our implementation outputs an overlay onto Google Maps, adding route numbers to public transit lines.

Keywords

Map labeling Mass transit lines Map readability 

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References

  1. 1.
  2. 2.
  3. 3.
    Been, K., Nöllenburg, M., Poon, S.-H., Wolff, A.: Optimizing active ranges for consistent dynamic map labeling. In: SCG 2008: Proceedings of the 24th Annual Symposium on Computational Geometry, pp. 10–19 (2008)Google Scholar
  4. 4.
    Bekos, M.A., Kaufmann, M., Potika, K., Symvonis, A.: Multi-stack boundary labeling problems. In: Arun-Kumar, S., Garg, N. (eds.) FSTTCS 2006. LNCS, vol. 4337, pp. 81–92. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  5. 5.
    Bekos, M.A., Kaufmann, M., Symvonis, A., Wolff, A.: Boundary labeling: Models and efficient algorithms for rectangular maps. Comput. Geom. 36(3), 215–236 (2007)MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Benkert, M., Haverkort, H., Kroll, M., Nöllenburg, M.: Algorithms for multi-criteria boundary labeling. Journal of Graph Algorithms and Applications (2009)Google Scholar
  7. 7.
    Benkert, M., Nöllenburg, M.: Improved algorithms for length-minimal one-sided boundary labeling. In: 23rd European Workshop on Computational Geometry (EuroCG 2007), pp. 190–193 (2007)Google Scholar
  8. 8.
    Berg, M.d., Cheong, O., Kreveld, M.v., Overmars, M.: Computational Geometry: Algorithms and Applications. Springer, Heidelberg (2008)MATHGoogle Scholar
  9. 9.
    Douglas, D.H., Peucker, T.K.: Algorithms for the reduction of the number of points required to represent a digitized line or its caricature. Canadian Cartographer 10(2), 112–122 (1973)Google Scholar
  10. 10.
    Garrido, M.A., Iturriaga, C., Márquez, A., Portillo, J.R., Reyes, P., Wolff, A.: Labeling subway lines. In: Eades, P., Takaoka, T. (eds.) ISAAC 2001. LNCS, vol. 2223, pp. 649–659. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  11. 11.
    Goodman, J.E., O’Rourke, J. (eds.): Handbook of discrete and computational geometry. CRC Press, Inc., Boca Raton (1997)MATHGoogle Scholar
  12. 12.
    Grabler, F., Agrawala, M., Sumner, R.W., Pauly, M.: Automatic generation of tourist maps. ACM Trans. Graph. 27(3), 1–11 (2008)CrossRefGoogle Scholar
  13. 13.
    Iturriaga, C., Lubiw, A.: Elastic labels around the perimeter of a map. J. Algorithms 47(1), 14–39 (2003)MATHCrossRefMathSciNetGoogle Scholar
  14. 14.
    Neyer, G., Wagner, F.: Labeling downtown. In: Bongiovanni, G., Petreschi, R., Gambosi, G. (eds.) CIAC 2000. LNCS, vol. 1767, pp. 113–124. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  15. 15.
    Seibert, S., Unger, W.: The hardness of placing street names in a manhattan type map. In: Bongiovanni, G., Petreschi, R., Gambosi, G. (eds.) CIAC 2000. LNCS, vol. 1767, pp. 102–112. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  16. 16.
    Strijk, T.: Geometric algorithms for cartographic label placement. PhD thesis, Utrecht University (2001)Google Scholar
  17. 17.
    Dijk, S.v., Kreveld, M.v., Strijk, T., Wolff, A.: Towards an evaluation of quality for label placement methods. In: Proceedings of the 19th International Cartographic Conference, Ottawa, International Cartographic Association, pp. 905–913 (1999)Google Scholar
  18. 18.
    Kreveld, M.v., Strijk, T., Wolff, A.: Point labeling with sliding labels. Comput. Geom. Theory Appl. 13(1), 21–47 (1999)MATHGoogle Scholar
  19. 19.
    Wolff, A., Knipping, L., Kreveld, M.v., Strijk, T., Agarwal, P.K.: A simple and efficient algorithm for high-quality line labeling. In: Atkinson, P.M., Martin, D.J. (eds.) Innovations in GIS VII: GeoComputation, vol. 11, pp. 147–159Google Scholar
  20. 20.
    Yu, K.-L., Liao, C.-S., Lee, D.-T.: Maximizing the number of independent labels in the plane. In: Preparata, F.P., Fang, Q. (eds.) FAW 2007. LNCS, vol. 4613, pp. 136–147. Springer, Heidelberg (2007)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Valentin Polishchuk
    • 1
  • Arto Vihavainen
    • 1
  1. 1.Helsinki Institute for Information Technology, CS DepartmentUniversity of HelsinkiFinland

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