Drawing area-proportional Venn-3 diagrams with convex polygons
Rodgers, Peter, Flower, Jean, STAPLETON, GEM and HOWSE, JOHN (2010) Drawing area-proportional Venn-3 diagrams with convex polygons In: 6th International Conference on the Theory and Application of Diagrams, 9-11 August 2010, Portland, Oregon, USA, 9-11 August, 2010.
Official URL: http://www.sciweavers.org/publications/drawing-are...
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....
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