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Multi-Scale Geographic Maps

  • Raquel Viaña
  • Paola Magillo
  • Enrico Puppo
Part of the Mathematics and Visualization book series (MATHVISUAL)

Summary

We consider geographic maps represented as plane graphs, which undergo a process of generalisation performed through sequences of local updates. Generalisation transforms a highly detailed map into one with fewer details, spanning many different scales of representation through the sequence of updates. We study intrinsic dependency relations among updates in the sequence and, on this basis, we derive a multi-scale model that supports efficient retrieval of maps at different scales, possibly variable through the domain.

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References

  1. 1.
    M. Bertolotto. Geometric modeling of spatial entities at multiple levels of resolution. Ph.D.Thesis, Department of Computer Science, University of Genova, DISI-TH-1998-01, 1998.Google Scholar
  2. 2.
    M. Bertolotto, L. De Floriani, and E. Puppo. Multiresolution topological maps, Advanced Geographic Data Modelling — Spatial Data Modelling and Query Languages for 2D and 3D Applications, M. Molenaar, S. De Hoop (eds.), Publications on Geodesy — New Series, N. 40, Netherland Geodetic Commission, pp. 179–190, 1994.Google Scholar
  3. 3.
    M. Bertolotto and M. J. Egenhofer. Progressive transmission of vector map data over the world wide web. GeoInformatica 5(4), pp. 345–373, 2001.CrossRefGoogle Scholar
  4. 4.
    B. Buttenfield. Progressive transmission of vector data on the internet: a cartographic solution. Proceedings 19th International Cartographic Conference, Ottawa, Canada, pp.581–590, 1999.Google Scholar
  5. 5.
    L. De Floriani and P. Magillo. Multiresolution mesh representation: models and data structures, Tutorials on Multiresolution in Geometric Modelling, A. Iske, E. Quak, M. S. Floater (eds.), Springer-Verlag, pp. 363–418, 2002.Google Scholar
  6. 6.
    D. H. Douglas and T. K. Pücker. Algorithms for the reduction of the number of points required to represent a digitized line or its caricature. The Canadian Cartographer, 10,2, pp. 112–122, 1973.Google Scholar
  7. 7.
    P. Magillo, E. Puppo, and R. Viaña. A Multi-Scale Model for Geographic Maps. Technical Report, DISI-TR03-10, Department of Information and Computer Sciences, University of Genova, 2003.Google Scholar
  8. 8.
    E. Puppo and G. Dettori. Towards a formal model for multiresolution spatial maps. Advances in Spatial Databases, M. J. Egenhofer, J. R. Herring (eds.), LNCS Vol.951, Springer-Verlag, pp.152–169, 1995.Google Scholar
  9. 9.
    E. Puppo. Variable resolution triangulations. Computational Geometry Theory and Applications 11, pp.219–238, 1998.zbMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Raquel Viaña
    • 1
  • Paola Magillo
    • 2
  • Enrico Puppo
    • 2
  1. 1.Department of MathematicsUniversity of AlcalaSpain
  2. 2.Department of Computer Science(DISI)University of GenovaItaly

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