### Abstract

Original language | English |
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Title of host publication | Proceedings of the 13th International Conference on Information Visualisation, IV 2009 |

Place of Publication | New York, NY, USA |

Publisher | IEEE |

Pages | 667-672 |

Number of pages | 6 |

ISBN (Print) | 9780769537337 |

DOIs | |

Publication status | Published - 4 Aug 2009 |

Event | Proceedings of the 13th International Conference on Information Visualisation, IV 2009 - Barcelona, Spain, 15-17 July, 2009 Duration: 4 Aug 2009 → … |

### Publication series

Name | International Conference Information Visualization |
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### Conference

Conference | Proceedings of the 13th International Conference on Information Visualisation, IV 2009 |
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Period | 4/08/09 → … |

### Fingerprint

### Keywords

- Venn diagrams
- diagram layout

### Cite this

*Proceedings of the 13th International Conference on Information Visualisation, IV 2009*(pp. 667-672). (International Conference Information Visualization). New York, NY, USA: IEEE. https://doi.org/10.1109/IV.2009.93

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*Proceedings of the 13th International Conference on Information Visualisation, IV 2009.*International Conference Information Visualization, IEEE, New York, NY, USA, pp. 667-672, Proceedings of the 13th International Conference on Information Visualisation, IV 2009, 4/08/09. https://doi.org/10.1109/IV.2009.93

**Some results for drawing area-proportional Venn3 with convex curves.** / Rodgers, Peter; Flower, Jean; Stapleton, Gem; Howse, John.

Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN

TY - GEN

T1 - Some results for drawing area-proportional Venn3 with convex curves

AU - Rodgers, Peter

AU - Flower, Jean

AU - Stapleton, Gem

AU - Howse, John

PY - 2009/8/4

Y1 - 2009/8/4

N2 - Many data sets are visualized effectively with area proportional Venn diagrams, where the area of the regions is in proportion to a defined specification. In particular, Venn diagrams with three intersecting curves are considered useful for visualizing data in many applications, including bioscience, ecology and medicine. To ease the understanding of such diagrams,using restricted dasianicepsila shapes for the curves is considered beneficial. Many research questions on the use of such diagrams are still open. For instance, a general solution to the question of when given area specifications can be represented by Venn3 using convex curves is still unknown.In this paper we study symmetric Venn3 drawn with convex curves and show that there is a symmetric area specification that cannot be represented with such a diagram. In addition, by using symmetric diagrams drawn with polygons, we show that, if area specifications are restricted so that the double intersection areas are no greater than the triple intersection area then the specification can be drawn with convex curves. We also propose a construction that allows the representation of some area specifications when the double intersection areas are greater than the triple intersection area.Finally, we present some open questions on the topic.

AB - Many data sets are visualized effectively with area proportional Venn diagrams, where the area of the regions is in proportion to a defined specification. In particular, Venn diagrams with three intersecting curves are considered useful for visualizing data in many applications, including bioscience, ecology and medicine. To ease the understanding of such diagrams,using restricted dasianicepsila shapes for the curves is considered beneficial. Many research questions on the use of such diagrams are still open. For instance, a general solution to the question of when given area specifications can be represented by Venn3 using convex curves is still unknown.In this paper we study symmetric Venn3 drawn with convex curves and show that there is a symmetric area specification that cannot be represented with such a diagram. In addition, by using symmetric diagrams drawn with polygons, we show that, if area specifications are restricted so that the double intersection areas are no greater than the triple intersection area then the specification can be drawn with convex curves. We also propose a construction that allows the representation of some area specifications when the double intersection areas are greater than the triple intersection area.Finally, we present some open questions on the topic.

KW - Venn diagrams

KW - diagram layout

U2 - 10.1109/IV.2009.93

DO - 10.1109/IV.2009.93

M3 - Conference contribution with ISSN or ISBN

SN - 9780769537337

T3 - International Conference Information Visualization

SP - 667

EP - 672

BT - Proceedings of the 13th International Conference on Information Visualisation, IV 2009

PB - IEEE

CY - New York, NY, USA

ER -