### Abstract

Euler Diagrams are a well-known visualisation of set-based relationships, used in many application areas and at the basis of more complex notations. We propose a static code for concrete Euler Diagrams, which enables efficient storage (vs. storage of concrete diagrams), and transformations preserving concrete-level structure, hence the viewer's mental map. We provide the theoretical underpinnings of the encoding, examples and deductions, and an indication of their utility. For use in an interactive setting, we provide algorithms to update the code upon curve addition and removal. Independently, we show that the code identifies minimal regions, enabling the computation of the abstract zone set.

Original language | English |
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Title of host publication | Diagrammatic Representation and Inference, Proceedings of the 7th International Conference, Diagrams 2012 |

Place of Publication | Berlin Heidelberg |

Publisher | Springer-Verlag |

Pages | 148-162 |

Number of pages | 15 |

Volume | 7352 |

ISBN (Electronic) | 9783642312236 |

ISBN (Print) | 9783642312229 |

DOIs | |

Publication status | Published - 1 Jan 2012 |

Event | Diagrammatic Representation and Inference, Proceedings of the 7th International Conference, Diagrams 2012 - Canterbury, UK, 2-6 July, 2012 Duration: 4 Jul 2012 → … |

### Publication series

Name | Lecture Notes in Computer Science |
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### Conference

Conference | Diagrammatic Representation and Inference, Proceedings of the 7th International Conference, Diagrams 2012 |
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Period | 4/07/12 → … |

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## Cite this

Bottoni, P., Costagliola, G., & Fish, A. (2012). Euler diagram encodings. In

*Diagrammatic Representation and Inference, Proceedings of the 7th International Conference, Diagrams 2012*(Vol. 7352, pp. 148-162). (Lecture Notes in Computer Science). Berlin Heidelberg: Springer-Verlag. https://doi.org/10.1007/978-3-642-31223-6_18