Drawing Area-Proportional Venn and Euler Diagrams
Chow, Stirling and Ruskey, Frank (2004) Drawing Area-Proportional Venn and Euler Diagrams. In: Graph Drawing 11th International Symposium, GD 2003, September 21-24, 2003, Perugia, Italy , pp. 466-477 (Official URL: http://dx.doi.org/10.1007/978-3-540-24595-7_44).
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We consider the problem of drawing Venn diagrams for which each regionrsquos area is proportional to some weight (e.g., population or percentage) assigned to that region. These area-proportional Venn diagrams have an enhanced ability over traditional Venn diagrams to visually convey information about data sets with interacting characteristics. We develop algorithms for drawing area-proportional Venn diagrams for any population distribution over two characteristics using circles and over three characteristics using rectangles and near-rectangular polygons; modifications of these algorithms are then presented for drawing the more general Euler diagrams. We present results concerning which population distributions can be drawn using specific shapes. A program to aid further investigation of area-proportional Venn diagrams is also described.
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