TY - JOUR
AB - A homeomorphism from R-2 to itself distorts metric quantities, such as distance and area. We describe an algorithm that constructs homeomorphisms with prescribed area distortion. Such homeomorphisms can be used to generate cartograms, which are geographic maps purposely distorted so their area distributions reflects a variable different from area, as for example population density. The algorithm generates the homeomorphism through a sequence of local piecewise linear homeomorphic changes. Sample results produced by the preliminary implementation of the method are included.
AU - Herbert Edelsbrunner
AU - Waupotitsch, Roman
ID - 4021
IS - 5-6
JF - Computational Geometry: Theory and Applications
TI - A combinatorial approach to cartograms
VL - 7
ER -