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 , pp. 466-477(Official URL: http://dx.doi.org/10.1007/978-3-540-24595-7_44).

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Abstract

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.

Item Type: Conference Paper
Additional Information: 10.1007/978-3-540-24595-7_44
Classifications: G Algorithms and Complexity > G.070 Area / Edge Length
G Algorithms and Complexity > G.560 Geometry
URI: http://gdea.informatik.uni-koeln.de/id/eprint/476

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