Title page for ETD etd-03302010-020314
|Type of Document
||Approaches to map anamorphosis
||Master of Science
||Computer Science and Applications
|Shaffer, Clifford A.
|Heath, Lenwood S.
|Watson, Layne T.
|Date of Defense
Map anamorphosis is the distortionof a map to show graphically the variation of some
quantity from region to region. The process of anamorphosis modifies the original map
regions, keeping the inter-region topology, to produce new regions whose areas are proportional
to their respective values of the relevant quantity. A typical example would be a
distorted map of the United States, where each state's area is proportional to its population,
yet the states still fit together in the correct way. Such maps, called "cartograms",
can provide a good visual sense of where a quantity such as population, is distributed. In
this paper we look at five separate attempts to design a computer algorithm for generating
cartograms, all of which use triangulation as a basis, and all of which, unfortunately, are
unsuccessful. We also examine a working algorithm, in the literature that uses similar ideas
in its initial approach. While this algorithm produces aesthetically displeasing results, it
may indicate a way to solve the map anamorphosis problem robustly using triangulation.
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