Minimum Area Venn Diagrams Whose Curves Are Polyominoes

Chow, Stirling

doi:10.1080/0025570x.2007.11953462

Cited by 2 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such polygons are similar in shape to circles and thus the generated diagrams are often inaccurate (e.g., Figure 3 -P1, [49] ). Other methods use: triangles as in Vennerable [ https://r-forge.r-project.org/projects/venerable ] (e.g., Figure 3 -P2); rectangles (e.g., [50] ); orthogonal rectilinear curves as in DrawVenn [5] (e.g., Figure 1D , Figure 3 -P3, [14] ) and Vennerable [ https://r-forge.r-project.org/projects/venerable ] (e.g., Figure 3 -P4); 4-sided and 5-sided convex polygons as in Convex Venn-3 [51] (e.g., Figure 1E , Figure 3 -P5, [15] ); parallelograms [52] ; orthogonal polyominoes [53] ; a combination of convex and non-convex, smooth and rectilinear curves as in VENNTURE [54] and in Vennerable [ https://r-forge.r-project.org/projects/venerable ]; convoluted polygons as in DrawEuler [55] (e.g., Figure 1F , Figure 3 -P6, [16] ) and Fan Diagrams [56] . A method that draws diagrams with polygons for any number of curves has been proposed but not implemented [57] .…”

Section: Current Automatic Drawing Methods and Softwarementioning

confidence: 99%

eulerAPE: Drawing Area-Proportional 3-Venn Diagrams Using Ellipses

2014

View full text Add to dashboard Cite

Venn diagrams with three curves are used extensively in various medical and scientific disciplines to visualize relationships between data sets and facilitate data analysis. The area of the regions formed by the overlapping curves is often directly proportional to the cardinality of the depicted set relation or any other related quantitative data. Drawing these diagrams manually is difficult and current automatic drawing methods do not always produce appropriate diagrams. Most methods depict the data sets as circles, as they perceptually pop out as complete distinct objects due to their smoothness and regularity. However, circles cannot draw accurate diagrams for most 3-set data and so the generated diagrams often have misleading region areas. Other methods use polygons to draw accurate diagrams. However, polygons are non-smooth and non-symmetric, so the curves are not easily distinguishable and the diagrams are difficult to comprehend. Ellipses are more flexible than circles and are similarly smooth, but none of the current automatic drawing methods use ellipses. We present eulerAPE as the first method and software that uses ellipses for automatically drawing accurate area-proportional Venn diagrams for 3-set data. We describe the drawing method adopted by eulerAPE and we discuss our evaluation of the effectiveness of eulerAPE and ellipses for drawing random 3-set data. We compare eulerAPE and various other methods that are currently available and we discuss differences between their generated diagrams in terms of accuracy and ease of understanding for real world data.

show abstract