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Table Cartograms

  • William Evans
  • Stefan Felsner
  • Michael Kaufmann
  • Stephen G. Kobourov
  • Debajyoti Mondal
  • Rahnuma Islam Nishat
  • Kevin Verbeek
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8125)

Abstract

A table cartogram of a two dimensional m ×n table A of non-negative weights in a rectangle R, whose area equals the sum of the weights, is a partition of R into convex quadrilateral faces corresponding to the cells of A such that each face has the same adjacency as its corresponding cell and has area equal to the cell’s weight. Such a partition acts as a natural way to visualize table data arising in various fields of research. In this paper, we give a O(mn)-time algorithm to find a table cartogram in a rectangle. We then generalize our algorithm to obtain table cartograms inside arbitrary convex quadrangles, circles, and finally, on the surface of cylinders and spheres.

Keywords

Outerplanar Graph Interesting Open Problem Correct Area Concave Corner Convex Quadrilateral 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • William Evans
    • 1
  • Stefan Felsner
    • 2
  • Michael Kaufmann
    • 3
  • Stephen G. Kobourov
    • 4
  • Debajyoti Mondal
    • 5
  • Rahnuma Islam Nishat
    • 6
  • Kevin Verbeek
    • 7
  1. 1.Department of Computer ScienceUniversity of British ColumbiaCanada
  2. 2.Institut für MathematikTechnische Universität BerlinGermany
  3. 3.Wilhelm-Schickard-Institut für InformatikUniversität TübingenGermany
  4. 4.Department of Computer ScienceUniversity of ArizonaUSA
  5. 5.Department of Computer ScienceUniversity of ManitobaCanada
  6. 6.Department of Computer ScienceUniversity of VictoriaCanada
  7. 7.Department of Computer ScienceUniversity of CaliforniaSanta BarbaraUSA

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