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Euler Diagram Encodings

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Diagrammatic Representation and Inference (Diagrams 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7352))

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Abstract

Euler Diagrams are a well-known visualisation of set-based relationships, used in many application areas and at the basis of more complex notations. We propose a static code for concrete Euler Diagrams, which enables efficient storage (vs. storage of concrete diagrams), and transformations preserving concrete-level structure, hence the viewer’s mental map. We provide the theoretical underpinnings of the encoding, examples and deductions, and an indication of their utility. For use in an interactive setting, we provide algorithms to update the code upon curve addition and removal. Independently, we show that the code identifies minimal regions, enabling the computation of the abstract zone set.

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© 2012 Springer-Verlag Berlin Heidelberg

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Bottoni, P., Costagliola, G., Fish, A. (2012). Euler Diagram Encodings. In: Cox, P., Plimmer, B., Rodgers, P. (eds) Diagrammatic Representation and Inference. Diagrams 2012. Lecture Notes in Computer Science(), vol 7352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31223-6_18

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  • DOI: https://doi.org/10.1007/978-3-642-31223-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31222-9

  • Online ISBN: 978-3-642-31223-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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