Computational geometry in C
A combinatorial approach to cartograms
Computational Geometry: Theory and Applications
Continuous cartogram construction
Proceedings of the conference on Visualization '98
LEDA: a platform for combinatorial and geometric computing
LEDA: a platform for combinatorial and geometric computing
Efficient computation of a simplified medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Efficient Cartogram Generation: A Comparison
INFOVIS '02 Proceedings of the IEEE Symposium on Information Visualization (InfoVis'02)
CartoDraw: A Fast Algorithm for Generating Contiguous Cartograms
IEEE Transactions on Visualization and Computer Graphics
Visualization of Geo-spatial Point Sets via Global Shape Transformation and Local Pixel Placement
IEEE Transactions on Visualization and Computer Graphics
Carto-SOM: cartogram creation using self-organizing maps
International Journal of Geographical Information Science
Cartograms, Self-Organizing Maps, and Magnification Control
WSOM '09 Proceedings of the 7th International Workshop on Advances in Self-Organizing Maps
Proportions in categorical and geographic data: visualizing the results of political elections
Proceedings of the International Working Conference on Advanced Visual Interfaces
A validation benchmark for assessment of medial surface quality for medical applications
ICVS'13 Proceedings of the 9th international conference on Computer Vision Systems
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Cartograms are a well-known technique for showing geography-related statistical information, such as demographic and epidemiological data. The idea is to distort a map by resizing its regions according to a statistical parameter, but in a way that keeps the map recognizable. This article describes a method of continuous cartogram generation, which strictly retains the input map's topology. It presents an algorithm that makes cartograms by iterative relocation of the map's vertices, guided by a modified medial axes transformation. Application experiments show that the proposed algorithm can make high-quality cartograms in interactive time, even for large maps. Additional examples help to demonstrate its potential.