A Simple Approach for Boundary Improvement of Euler Diagrams

Paolo Simonetto, Daniel Archambault, Carlos Scheidegger

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


General methods for drawing Euler diagrams tend to generate irregular polygons. Yet, empirical evidence indicates that smoother contours make these diagrams easier to read. In this paper, we present a simple method to smooth the boundaries of any Euler diagram drawing. When refining the diagram, the method must ensure that set elements remain inside their appropriate boundaries and that no region is removed or created in the diagram. Our approach uses a force system that improves the diagram while at the same time ensuring its topological structure does not change. We demonstrate the effectiveness of the approach through case studies and quantitative evaluations.

Original languageEnglish (US)
Article number7192693
Pages (from-to)678-687
Number of pages10
JournalIEEE Transactions on Visualization and Computer Graphics
Issue number1
StatePublished - Jan 31 2016


  • Complexity theory
  • Extremities
  • Force
  • Junctions
  • Shape
  • Smoothing methods
  • Visualization

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design


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