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Conceptual Geometric Modelling

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Handbook of Conceptual Modeling

Abstract

This chapter starts with a review of existing spatial data models in the literature to show some key problems that need to be addressed by conceptual models to include spatial data and more generally geometric data. Motivated among other things by the need to support spatial modelling for the sustainable land use initiative we present a geometrically enhanced ER model (GERM), which preserves the key principles of ER modelling and at the same time introduces bulk constructions and types that support geometric objects. The model distinguishes between a syntactic level of types and an explicit internal level, in which types give rise to polyhedra that are defined by algebraic varieties. It further emphasises the stability of algebraic operations by means of a natural modelling algebra that extends the usual Boolean operations on point sets.

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Author information

Author notes

  1. Hui Ma

    Present address: School of Engineering and Computer Science, Victoria University of Wellington, Wellington, New Zealand

  2. Klaus-Dieter Schewe

    Present address: Software Competence Center Hagenberg, Hagenberg, Austria

Authors and Affiliations

    Authors
    1. Hui Ma
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    2. Klaus-Dieter Schewe
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    Corresponding authors

    Correspondence to Hui Ma or Klaus-Dieter Schewe .

    Editor information

    Editors and Affiliations

    1. , Department of Computer Science, Brigham Young University, Provo, 84602, USA

      David W. Embley

    2. Institut für Informatik, Christian-Albrechts-Universität zu Kiel, Olshausenstr. 40, Kiel, 24098, Germany

      Bernhard Thalheim

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    © 2011 Springer-Verlag Berlin Heidelberg

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    Ma, H., Schewe, KD. (2011). Conceptual Geometric Modelling. In: Embley, D., Thalheim, B. (eds) Handbook of Conceptual Modeling. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15865-0_13

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    • DOI: https://doi.org/10.1007/978-3-642-15865-0_13

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    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-642-15864-3

    • Online ISBN: 978-3-642-15865-0

    • eBook Packages: Computer ScienceComputer Science (R0)

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