Drawing area-proportional Venn-3 diagrams with convex polygons

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

Area-proportional Venn diagrams are a popular way of visualizing the relationships between data sets, where the set intersections have a specified numerical value. In these diagrams, the areas of the regions are in proportion to the given values. Venn-3, the Venn diagram consisting of three intersecting curves, has been used in many applications, including marketing, ecology and medicine. Whilst circles are widely used to draw such diagrams, most area specifications cannot be drawn in this way and, so, should only be used where an approximate solution is acceptable. However, placing different restrictions on the shape of curves may result in usable diagrams that have an exact solution, that is, where the areas of the regions are exactly in proportion to the represented data. In this paper, we explore the use of convex shapes for drawing exact area proportional Venn-3 diagrams....
Original languageEnglish
Title of host publication6th International Conference on the Theory and Application of Diagrams
Place of PublicationBerlin, Germany
PublisherSpringer
Pages54-68
Number of pages15
Publication statusPublished - 9 Aug 2010
Event6th International Conference on the Theory and Application of Diagrams - Portland, Oregon, USA, 9-11 August, 2010
Duration: 9 Aug 2010 → …

Publication series

NameLecture Notes in Computer Science

Conference

Conference6th International Conference on the Theory and Application of Diagrams
Period9/08/10 → …

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    Rodgers, P., Flower, J., Stapleton, G., & Howse, J. (2010). Drawing area-proportional Venn-3 diagrams with convex polygons. In 6th International Conference on the Theory and Application of Diagrams (pp. 54-68). (Lecture Notes in Computer Science). Springer. http://www.sciweavers.org/publications/drawing-area-proportional-venn-3-diagrams-convex-polygons