Abstract
In the previous chapters, we focused on a mathematical model of maps based on mappings of infinite point sets, denoted the abstract model of maps. The abstract model is not suitable for direct implementation because of its reliance on mathematical concepts, such as infinite point sets. In this chapter, we develop a discrete model of maps based on graph theory. The discrete model uses concepts that are implementable in computer systems, but is not an implementation model in itself. In later chapters, we will develop and implementation model of maps.
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References
De Floriani, L., Marzano, P., Puppo, E.: Spatial queries and data models. In: Spatial Information Theory A Theoretical Basis for GIS, pp. 113–138. Springer (1993)
McKenney, M., Schneider, M.: Spatial partition graphs: A graph theoretic model of maps. In: Advances in Spatial and Temporal Databases, pp. 167–184. Springer (2007)
Viaña, R., Magillo, P., Puppo, E., Ramos, P.A.: Multi-vmap: A multi-scale model for vector maps. Geoinformatica 10(3), 359–394 (2006)
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McKenney, M., Schneider, M. (2016). A Discrete Model of Maps. In: Map Framework. Springer, Cham. https://doi.org/10.1007/978-3-319-46766-5_8
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DOI: https://doi.org/10.1007/978-3-319-46766-5_8
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