General Euler Diagram Generation

Euler diagrams are a natural method of representing set-theoretic data and have been employed in diverse areas such as visualizing statistical data, as a basis for diagrammatic logics and for displaying the results of database search queries. For effective use of Euler diagrams in practical computer based applications, the on of a diagram as a set of curves from an abstract description is necessary. Various practical methods for Euler diagram generation have been proposed, but in all of these methods the diagrams that can be produced are only for a restricted subset of ible abstract descriptions. We describe a method for Euler diagram generation, demonstrated by implemented software, and illustrate the advances in methodology via the production of diagrams which were difficult or impossible to draw using previous approaches. To allow the on of all abstract descriptions we may be required to have some properties of the final diagram that are not considered nice. In particular we permit ...

• Type: Conference
• Year: 2008
• Where: DIAGRAMS
• Authors: Peter Rodgers, Leishi Zhang, Andrew Fish
• Keywords: Abstract Descriptions, Artificial Intelligence, DIAGRAMS 2008, Euler Diagram, Euler Diagram Generation