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A Discrete Model of Maps

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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

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  2. 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)

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  3. 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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Correspondence to Mark McKenney .

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46764-1

  • Online ISBN: 978-3-319-46766-5

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