Shape Deformation in Continuous Map Generalization
Jeff Danciger, Satyan L. Devadoss, John Mugno, Donald R. Sheehy, and Rachel Ward
GeoInformatica 13: 2, 203-221 2009
Given a collection of regions on a map, we seek a method of continuously altering the regions as the scale is varied. This is formalized and brought to rigor as well-defined problems in homotopic deformation. We ask the regions to preserve topology, area-ratios, and relative position as they change over time. A solution is presented using differential methods and computational geometric techniques. Most notably, an application of this method is used to provide an algorithm to obtain cartograms.
@article{danciger09shape,
Author = {Jeff Danciger and Satyan Devadoss and John Mugno and Donald R. Sheehy and Rachel Ward},
Journal = {GeoInformatica},
Number = {2},
Pages = {203--221},
Title = {Shape Deformation in Continuous Map Generalization},
Volume = {13},
Year = {2009}}