Drawing Area-Proportional Venn and Euler Diagrams

Drawing Area-Proportional Venn and Euler Diagrams. Chow, S. & Ruskey, F. In Graph Drawing, volume 2912, of Lecture Notes in Computer Science, pages 466-477, 2003. Springer.

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We consider the problem of drawing Venn diagrams for which each region's area is proportional to some weight (e.g., population or percentage) assigned to that region. These area-proportional Venn diagrams have an enhanced ability over traditional Venn diagrams to visually convey information about data sets with interacting characteristics. We develop algorithms for drawing area-proportional Venn diagrams for any population distribution over two characteristics using circles and over three characteristics using rectangles and near-rectangular polygons; modifications of these algorithms are then presented for drawing the more general Euler diagrams. We present results concerning which population distributions can be drawn using specific shapes. A program to aid further investigation of area-proportional Venn diagrams is also described.

@inproceedings{conf/gd/ChowR03,
  abstract = {We consider the problem of drawing Venn diagrams for which each region's area is proportional to some weight (e.g., population or percentage) assigned to that region. These area-proportional Venn diagrams have an enhanced ability over traditional Venn diagrams to visually convey information about data sets with interacting characteristics. We develop algorithms for drawing area-proportional Venn diagrams for any population distribution over two characteristics using circles and over three characteristics using rectangles and near-rectangular polygons; modifications of these algorithms are then presented for drawing the more general Euler diagrams. We present results concerning which population distributions can be drawn using specific shapes. A program to aid further investigation of area-proportional Venn diagrams is also described.},
  added-at = {2009-11-29T09:55:39.000+0100},
  author = {Chow, Stirling and Ruskey, Frank},
  biburl = {https://www.bibsonomy.org/bibtex/285b390371902ccbbd442cf16ede5d15e/minas},
  booktitle = {Graph Drawing},
  crossref = {conf/gd/2003},
  date = {2004-03-05},
  description = {dblp},
  doi = {10.1007/b94919},
  editor = {Liotta, Giuseppe},
  ee = {http://springerlink.metapress.com/openurl.asp?genre=article&issn=0302-9743&volume=2912&spage=466},
  interhash = {8cd7454271c72ce85318af5f925f7e50},
  intrahash = {85b390371902ccbbd442cf16ede5d15e},
  isbn = {3-540-20831-3},
  keywords = {Layout 2003},
  pages = {466-477},
  publisher = {Springer},
  series = {Lecture Notes in Computer Science},
  timestamp = {2009-11-29T09:55:39.000+0100},
  title = {Drawing Area-Proportional Venn and Euler Diagrams},
  url = {http://dblp.uni-trier.de/db/conf/gd/gd2003.html#ChowR03},
  volume = 2912,
  year = 2003
}

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