Drawing area-proportional Euler diagrams representing up to three sets

Area of Science:

• Data Visualization
• Computational Geometry
• Information Design

Background:

• Area-proportional Euler diagrams are crucial for visualizing statistical data across various fields.
• Existing tools lack reliability for visualizing exact area-proportional diagrams for three sets.
• Current methods struggle with accuracy, especially when some data intersections are zero.

Purpose of the Study:

• To present a general, implemented method for visualizing all 40 Euler-3 diagrams in an area-proportional manner.
• To enable reliable visualization of complex datasets with up to three sets.
• To address the limitations of existing tools in accurately representing data with zero intersections.

Main Methods:

• Developed a general method for area-proportional Euler diagram visualization for three sets.
• Utilized circles and convex polygons for curve generation and analyzed their drawability.
• Implemented a mechanism to determine data drawability with circles and employed nonconvex polygons when necessary.

Main Results:

• Successfully visualized all 40 possible Euler-3 diagrams in an area-proportional manner.
• Achieved accurate representation for cases with zero-value intersections.
• Enabled automatic visualization of data for up to three sets using both convex and nonconvex polygons.

Conclusions:

• The developed method provides a reliable solution for area-proportional Euler diagram visualization for up to three sets.
• This advancement enhances the accurate representation of complex statistical data in various applications.
• The tool overcomes previous limitations, offering a comprehensive approach to Euler diagram generation.