eulerForce: Force-directed Layout for Euler Diagrams

Micallef, Luana and Rodgers, Peter (2014) eulerForce: Force-directed Layout for Euler Diagrams. Journal of Visual Languages and Computing, 25 (6). pp. 924-934. ISSN 1045-926X. (doi:https://doi.org/10.1016/j.jvlc.2014.09.002) (Full text available)

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http://dx.doi.org/10.1016/j.jvlc.2014.09.002

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 eulerForce, 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 eulerForce indicates the benefits of a force-directed approach to generate comprehensible Euler diagrams for any set relations in relatively fast time.

Item Type: Article
Additional information: Presented at Distributed Multimedia Systems (DMS) 2014
Subjects: Q Science
Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Computing > Computational Intelligence Group
Depositing User: L. Micallef
Date Deposited: 16 Jun 2014 13:51 UTC
Last Modified: 07 Dec 2014 00:03 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/41437 (The current URI for this page, for reference purposes)
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