Authors
William Evans, Stefan Felsner, Michael Kaufmann, Stephen G Kobourov, Debajyoti Mondal, Rahnuma Islam Nishat, Kevin Verbeek
Publication date
2018/3/1
Journal
Computational Geometry
Volume
68
Pages
174-185
Publisher
Elsevier
Description
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 (m n)-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.
Total citations
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Scholar articles
W Evans, S Felsner, M Kaufmann, SG Kobourov… - Computational Geometry, 2018
W Evans, S Felsner, M Kaufmann, SG Kobourov… - Algorithms–ESA 2013: 21st Annual European …, 2013