Drawing Euler Diagrams with Circles

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2010
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Stapleton, Gem
Howse, John
Rodgers, Peter
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GOEL, Ashok K., ed. and others. Diagrammatic representation and inference : 6th International Conference, Diagrams 2010, Portland, OR, USA, August 9 - 11, 2010. Berlin [u.a.]: Springer, 2010, pp. 23-38. Lecture notes in computer science : Lecture notes in artificial intelligence. 6170. ISBN 978-3-642-14599-5
Zusammenfassung

Euler diagrams are a popular and intuitive visualization tool which are used in a wide variety of application areas, including biological and medical data analysis. As with other data visualization methods, such as graphs, bar charts, or pie charts, the automated generation of an Euler diagram from a suitable data set would be advantageous, removing the burden of manual data analysis and the subsequent task of drawing an appropriate diagram. Various methods have emerged that automatically draw Euler diagrams from abstract descriptions of them. One such method draws some, but not all, abstract descriptions using only circles.We extend that method so that more abstract descriptions can be drawn with circles, allowing sets to be represented by multiple curves. Furthermore, we show how to transform any undrawable abstract description into a drawable one by adding in extra zones. Thus, given any abstract description, our method produces a drawing using only circles. A software implementation of the method is available for download.

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ISO 690STAPLETON, Gem, Leishi ZHANG, John HOWSE, Peter RODGERS, 2010. Drawing Euler Diagrams with Circles. In: GOEL, Ashok K., ed. and others. Diagrammatic representation and inference : 6th International Conference, Diagrams 2010, Portland, OR, USA, August 9 - 11, 2010. Berlin [u.a.]: Springer, 2010, pp. 23-38. Lecture notes in computer science : Lecture notes in artificial intelligence. 6170. ISBN 978-3-642-14599-5
BibTex
@inproceedings{Stapleton2010Drawi-6403,
  year={2010},
  title={Drawing Euler Diagrams with Circles},
  number={6170},
  isbn={978-3-642-14599-5},
  publisher={Springer},
  address={Berlin [u.a.]},
  series={Lecture notes in computer science : Lecture notes in artificial intelligence},
  booktitle={Diagrammatic representation and inference : 6th International Conference, Diagrams 2010, Portland, OR, USA, August 9 - 11, 2010},
  pages={23--38},
  editor={Goel, Ashok K.},
  author={Stapleton, Gem and Zhang, Leishi and Howse, John and Rodgers, Peter}
}
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