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Layout metrics for Euler diagrams

J. Flower, P. Rodgers, P. Mutton
Proceedings on Seventh International Conference on Information Visualization, 2003. IV 2003.  
An alternative term for these diagrams is "Euler-Venn diagrams" but they are often inaccurately called "Venn diagrams".  ...  In this paper we describe our Java implementation of a pair of hill climbing variants to find good drawings, a set of metrics that measure aesthetics for good diagram layout, and issues concerning the  ...  Here we introduce some layout metrics for smoothing atomic Euler diagrams, although the principles of the aesthetics and metrics work equally for non-atomic (nested) diagrams, see Figure 2 .  ... 
doi:10.1109/iv.2003.1217990 dblp:conf/iv/FlowerRM03 fatcat:fskskp3obfhjbpqdg6cc76xlri

Evaluating the Comprehension of Euler Diagrams

Florence Benoy, Peter Rodgers
2007 Information Visualisation  
Our work is intended to inform automatic Euler diagram layout research by confirming the importance of various Euler diagram aesthetic criteria.  ...  We describe an empirical investigation into layout criteria that can help with the comprehension of Euler diagrams.  ...  The automatic layout of Euler diagrams has only recently been investigated.  ... 
doi:10.1109/iv.2007.45 dblp:conf/iv/BenoyR07 fatcat:jixcmdpjlbhehcdrenuzd4ojda

Drawing Graphs in Euler Diagrams [chapter]

Paul Mutton, Peter Rodgers, Jean Flower
2004 Lecture Notes in Computer Science  
This application area is in particular need of automatic layout for the diagrams because automatic reasoning algorithms produce abstract diagrams that have no physical layout.  ...  The system described here links graph drawing and Euler diagram drawing into a system for drawing graph-enhanced Euler diagrams.  ...  We would also like to thank John Taylor and Richard Bosworth at the University of Brighton for helpful comments on early versions of this paper.  ... 
doi:10.1007/978-3-540-25931-2_9 fatcat:35rucpfugnhl7fdkicjekn6b4q

11th International Conference Information Visualization - Title

2007 2007 11th International Conference Information Visualization (IV '07)  
We describe an empirical investigation into layout criteria that can help with the comprehension of Euler diagrams.  ...  Research in automatically laying out Euler diagrams for use with these applications is at an early stage, and our work attempts to aid this research by informing layout designers about the importance of  ...  The measurements for the metrics were complex and in some cases a wide range of measurements qualified for what was deemed to be a good layout.  ... 
doi:10.1109/iv.2007.4 fatcat:4egz5hatevbqvnbbuzbuwnap2i

A tabu search based approach for graph layout

Fadi K. Dib, Peter Rodgers
2014 Journal of Visual Languages and Computing  
Rodgers, eulerForce: Force-directed layout for Euler diagrams, Journal of Visual Languages and Computing (2014), http://dx.  ...  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.  ...  Other future work includes gathering more empirical evidence to assess Euler diagram aesthetics and to formalize metrics that evaluate the effectiveness of Euler diagram layouts.  ... 
doi:10.1016/j.jvlc.2014.10.019 fatcat:wtu6aaeqpfhejp26ymwkd62kze

eulerForce: Force-directed layout for Euler diagrams

Luana Micallef, Peter Rodgers
2014 Journal of Visual Languages and Computing  
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 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.  ...  Other future work includes gathering more empirical evidence to assess Euler diagram aesthetics and to formalize metrics that evaluate the effectiveness of Euler diagram layouts.  ... 
doi:10.1016/j.jvlc.2014.09.002 fatcat:32nnhvt7gzcudjtefpvlcswwsy

Fully Automatic Visualisation of Overlapping Sets

Paolo Simonetto, David Auber, Daniel Archambault
2009 Computer graphics forum (Print)  
In this paper, we present an approach for the automatic generation of Euler-like diagrams.  ...  Euler diagrams, one of the most natural ways of depicting intersecting sets, may provide a solution to these problems.  ...  Since we focus on Euler-like diagrams for the rest of the paper, we use will almost always use the term Euler diagram when describing our algorithm to mean Euler-like diagram.  ... 
doi:10.1111/j.1467-8659.2009.01452.x fatcat:hsciniagzbco5dfcfetx2dl5he

An Heuristic for the Construction of Intersection Graphs

Paolo Simonetto, David Auber
2009 2009 13th International Conference Information Visualisation  
Most methods for generating Euler diagrams describe the detection of the general structure of the final drawing as the first step.  ...  The final Euler diagram can be constructed by drawing the sets boundaries around the nodes of the intersection graph, either manually or automatically.  ...  There may be several explanations for this. First of all, there is no universally accepted definition of a Euler diagram.  ... 
doi:10.1109/iv.2009.30 dblp:conf/iv/SimonettoA09 fatcat:gwhydjiu4jgdzgxvvdfltdh2je

Graph Exploration by Multiple Linked Metric Views

A. Panagiotidis, M. Burch, O. Deussen, D. Weiskopf, T. Ertl
2014 2014 18th International Conference on Information Visualisation  
To address this challenge of large-data graph visualization, we introduce Graph Metric Views, a technique that enriches the visualization of traditional layout strategies for node-link diagrams by additionally  ...  In this way, a cluttered and densely packed node-link diagram becomes more explorable even for dense graph regions: The user can use the distribution of metric values as an overview and then select regions  ...  Yet, we do not enforce any layout for the graph and allow for any kind of metric related to the data set.  ... 
doi:10.1109/iv.2014.51 dblp:conf/iv/PanagiotidisBDWE14 fatcat:gzrlinzrejfjrlfanq7grr3qqa

Visualization of Intersecting Groups Based on Hypergraphs

Rodrigo SANTAMARÍA, Roberto THERÓN
2010 IEICE transactions on information and systems  
Drawing of Euler Diagrams and Hypergraphs Euler diagram drawing for up to three sets has been addressed [2] .  ...  Graph-enhanced Euler diagrams define a graph, an underlying Euler diagram and a mapping from the graph nodes to the zones of the Euler diagram.  ... 
doi:10.1587/transinf.e93.d.1957 fatcat:lqdhpek2dfeapdaevfne3piwzm

MetroSets: Visualizing Sets as Metro Maps [article]

Ben Jacobsen, Markus Wallinger, Stephen Kobourov, Martin Nollenburg
2020 arXiv   pre-print
We propose MetroSets, a new, flexible online tool for visualizing set systems using the metro map metaphor.  ...  MetroSets is based on a modular 4-step pipeline which constructs and optimizes a path-based hypergraph support, which is then drawn and schematized using metro map layout algorithms.  ...  We also thank Miranda Rintoul for her help with the experimental analysis.  ... 
arXiv:2008.09367v1 fatcat:etimrbie3jeglfeh6a7xisnbsq

Benefits of visualization in the Mammography Problem

Azam Khan, Simon Breslav, Michael Glueck, Kasper Hornbæk
2015 International Journal of Human-Computer Studies  
Previous studies have shown that most people do not correctly apply Bayesian inference to solve probabilistic problems for decision making under uncertainty.  ...  We also included a text-only baseline condition and a text-legend condition where all nested-set problem values were given to eliminate the need for participants to estimate or calculate values.  ...  Acknowledgements This work has been supported in part by the Danish Council for Strategic Research, grant 10-092316.  ... 
doi:10.1016/j.ijhcs.2015.07.001 fatcat:gxiobikf6rgyhjmtiwcc7iiscu

Euler Diagram Transformations

Andrew Fish
2009 Electronic Communications of the EASST  
Euler diagrams are a visual language which are used for purposes such as the presentation of set-based data or as the basis of visual logical languages which can be utilised for software specification  ...  of Euler diagrams, both in terms of editing moves and logical reasoning moves.  ...  Layout refinement, or beautification [CMP99] , refers to the process of improving an initial layout via small changes measured by metrics designed to capture aesthetic qualities for example.  ... 
doi:10.14279/tuj.eceasst.18.266 dblp:journals/eceasst/Fish09 fatcat:avz5ypac2zbilkdr27cncjqhyu

Tactical Diagrammatic Reasoning

Sven Linker, Jim Burton, Mateja Jamnik
2017 Electronic Proceedings in Theoretical Computer Science  
We analysed the design options for tactics by using metrics which relate to human readability, such as the number of inferences and the amount of clutter present in diagrams.  ...  In this paper we take an interactive proof assistant for Euler diagrams, Speedith, and add tactics to its reasoning engine, providing a level of automation in the construction of proofs.  ...  Venn-style reasoning has been traditionally used for Euler-based diagram languages.  ... 
doi:10.4204/eptcs.239.3 fatcat:nvd7gb3ti5ag3p32zy5t22iv3i

Visual Analytics for Sets over Time and Space (Dagstuhl Seminar 19192)

Sara Irina Fabrikant, Silvia Miksch, Alexander Wolff, Michael Wagner
2019 Dagstuhl Reports  
The first 1.5 days were reserved for overview presentations from representatives of the different communities, for presenting open problems, and for forming interdisciplinary working groups that would  ...  This report documents the program and the outcomes of Dagstuhl Seminar 19192 "Visual Analytics for Sets over Time and Space", which brought together 29 researchers working on visualization (i) from a theoretical  ...  We thank Philipp Kindermann for collecting the self-introductory slides before the seminar and for assembling this report after the seminar.  ... 
doi:10.4230/dagrep.9.5.31 dblp:journals/dagstuhl-reports/FabrikantM019 fatcat:ng3ajyjdbrhdhmb7xiiigohsde
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