A Simple Approach for Boundary Improvement of Euler Diagrams

作者：Simonetto Paolo^*; Archambault Daniel; Scheidegger Carlos

来源：IEEE Transactions on Visualization and Computer Graphics, 2016, 22(1): 678-687.

DOI：10.1109/TVCG.2015.2467992

• Euler diagrams
• Boundary Improvement
• Force-Directed Approaches

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.

• 出版日期2016-1