Euler diagram generation
Flower, Jean, FISH, ANDREW and HOWSE, JOHN (2008) Euler diagram generation Journal of Visual Languages and Computing, 19 (6). pp. 675-694. ISSN 1045-926X
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Euler diagrams form the basis of many diagrammatic notations used to represent set theoretic relationships in a wide range of contexts including: file system information, statistical data representation, object-oriented modeling, logical specification and reasoning systems, and database search queries. An abstract Euler diagram is a formal abstract description of the information that is to be displayed as a concrete (or drawn) Euler diagram. If the abstract diagram can be visualized, whilst satisfying certain desirable visual properties (called well-formedness conditions), then we say the diagram is drawable. We solve the drawability problem for a given set of well-formedness conditions, identifying the properties which classify a diagram as drawable or undrawable. Furthermore, we present a high level algorithm which enables the generation of a concrete diagram from an abstract diagram, whenever it is drawable.
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