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
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.
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.
M. Bertolotto and M. J. Egenhofer. Progressive transmission of vector map data over the world wide web. GeoInformatica 5(4), pp. 345–373, 2001.
B. Buttenfield. Progressive transmission of vector data on the internet: a cartographic solution. Proceedings 19th International Cartographic Conference, Ottawa, Canada, pp.581–590, 1999.
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.
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.
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.
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.
E. Puppo. Variable resolution triangulations. Computational Geometry Theory and Applications 11, pp.219–238, 1998.
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Viaña, R., Magillo, P., Puppo, E. (2005). Multi-Scale Geographic Maps. In: Dodgson, N.A., Floater, M.S., Sabin, M.A. (eds) Advances in Multiresolution for Geometric Modelling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26808-1_6
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DOI: https://doi.org/10.1007/3-540-26808-1_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21462-5
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