Some results for drawing area-proportional Venn3 with convex curves

Peter Rodgers, Jean Flower, Gem Stapleton, John Howse

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBN

Abstract

Many data sets are visualized effectively with area proportional Venn diagrams, where the area of the regions is in proportion to a defined specification. In particular, Venn diagrams with three intersecting curves are considered useful for visualizing data in many applications, including bioscience, ecology and medicine. To ease the understanding of such diagrams,using restricted dasianicepsila shapes for the curves is considered beneficial. Many research questions on the use of such diagrams are still open. For instance, a general solution to the question of when given area specifications can be represented by Venn3 using convex curves is still unknown.In this paper we study symmetric Venn3 drawn with convex curves and show that there is a symmetric area specification that cannot be represented with such a diagram. In addition, by using symmetric diagrams drawn with polygons, we show that, if area specifications are restricted so that the double intersection areas are no greater than the triple intersection area then the specification can be drawn with convex curves. We also propose a construction that allows the representation of some area specifications when the double intersection areas are greater than the triple intersection area.Finally, we present some open questions on the topic.
Original languageEnglish
Title of host publicationProceedings of the 13th International Conference on Information Visualisation, IV 2009
Place of PublicationNew York, NY, USA
PublisherIEEE
Pages667-672
Number of pages6
ISBN (Print)9780769537337
DOIs
Publication statusPublished - 4 Aug 2009
EventProceedings of the 13th International Conference on Information Visualisation, IV 2009 - Barcelona, Spain, 15-17 July, 2009
Duration: 4 Aug 2009 → …

Publication series

NameInternational Conference Information Visualization

Conference

ConferenceProceedings of the 13th International Conference on Information Visualisation, IV 2009
Period4/08/09 → …

Keywords

  • Venn diagrams
  • diagram layout

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    Rodgers, P., Flower, J., Stapleton, G., & Howse, J. (2009). Some results for drawing area-proportional Venn3 with convex curves. In Proceedings of the 13th International Conference on Information Visualisation, IV 2009 (pp. 667-672). (International Conference Information Visualization). IEEE. https://doi.org/10.1109/IV.2009.93