## Abstract

Euler diagrams use closed curves to represent sets and their relationships. They facilitate set analysis, as humans tend to perceive distinct regions when closed curves are drawn on a plane. However, current automatic methods often produce diagrams with irregular, non-smooth curves that are not easily distinguishable. Other methods restrict the shape of the curve to for instance a circle, but such methods cannot draw an Euler diagram with exactly the required curve intersections for any set relations. In this paper, we present euler. Force, as the first method to adopt a force-directed approach to improve the layout and the curves of Euler diagrams generated by current methods. The layouts are improved in quick time. Our evaluation of euler. Force indicates the benefits of a force-directed approach to generate comprehensible Euler diagrams for any set relations in relatively fast time.

Original language | English |
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Pages (from-to) | 924–934 |

Journal | JOURNAL OF VISUAL LANGUAGES AND COMPUTING |

Volume | 25 |

Issue number | 6 |

DOIs | |

Publication status | Published - Dec 2014 |

MoE publication type | A1 Journal article-refereed |

## Keywords

- Euler diagram
- Force-directed
- Venn diagram