A Case Study in Fitting Area-Proportional Euler Diagrams with Ellipses Using eulerr

R
Data Visualization
Euler Diagrams
Authors

Johan Larsson

Peter Gustafsson

Published

18 June 2018

Details

Proceedings of International Workshop on Set Visualization and Reasoning, Edinburgh, United Kingdom

Links
Abstract

Euler diagrams are common and user-friendly visualizations for set relationships. Most Euler diagrams use circles, but circles do not always yield accurate diagrams. A promising alternative is ellipses, which, in theory, enable accurate diagrams for a wider range of input. Elliptical diagrams, however, have not yet been implemented for more than three sets or three-set diagrams where there are disjoint or subset relationships. The aim of this paper is to present eulerr: a software package for elliptical Euler diagrams for, in theory, any number of sets. It fits Euler diagrams using numerical optimization and exact-area algorithms through a two-step procedure, first generating an initial layout using pairwise relationships and then finalizing this layout using all set relationships.

 

Citation

BibTeX citation:
@inproceedings{larsson2018,
  author = {Johan Larsson and Peter Gustafsson},
  publisher = {CEUR Workshop Proceedings},
  title = {A Case Study in Fitting Area-Proportional {Euler} Diagrams
    with Ellipses Using Eulerr},
  booktitle = {Proceedings of International Workshop on Set
    Visualization and Reasoning},
  volume = {2116},
  pages = {84-91},
  date = {2018-06-18},
  address = {Edinburgh, United Kingdom},
  url = {http://ceur-ws.org/Vol-2116/paper7.pdf},
  langid = {en},
  abstract = {Euler diagrams are common and user-friendly visualizations
    for set relationships. Most Euler diagrams use circles, but circles
    do not always yield accurate diagrams. A promising alternative is
    ellipses, which, in theory, enable accurate diagrams for a wider
    range of input. Elliptical diagrams, however, have not yet been
    implemented for more than three sets or three-set diagrams where
    there are disjoint or subset relationships. The aim of this paper is
    to present eulerr: a software package for elliptical Euler diagrams
    for, in theory, any number of sets. It fits Euler diagrams using
    numerical optimization and exact-area algorithms through a two-step
    procedure, first generating an initial layout using pairwise
    relationships and then finalizing this layout using all set
    relationships.}
}
For attribution, please cite this work as:
Johan Larsson, and Peter Gustafsson. 2018. “A Case Study in Fitting Area-Proportional Euler Diagrams with Ellipses Using Eulerr.” In Proceedings of International Workshop on Set Visualization and Reasoning, 2116:84–91. Edinburgh, United Kingdom: CEUR Workshop Proceedings. http://ceur-ws.org/Vol-2116/paper7.pdf.