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Please use this identifier to cite or link to this item: http://hdl.handle.net/1860/1922

Title: Flexion and skewness in map projections of the Earth
Authors: Goldberg, David
Gott, Richard III
Keywords: Maps;Earth;Projection;Curvature
Issue Date: 12-Apr-2007
Publisher: American Astronomical Society
Citation: The Astrophysical Journal.
Abstract: Tissot indicatrices have provided visual measures of local area and isotropy distortions. Here we show how large scale distortions of flexion (bending) and skewness (lopsidedness) can be measured. Area and isotropy distortions depend on the map projection metric, flexion and skewness, which manifest themselves on continental scales, depend on the first derivatives of the metric. We introduce new indicatrices that show not only area and isotropy distortions but flexion and skewness as well. We present a table showing error measures for area, isotropy, flexion, skewness, distances, and boundary cuts allowing us to compare different world map projections. We find that the Winkel-Tripel projection (already adopted for world maps by the National Geographic), has low distortion on most measures and excellent quality overall.
URI: http://arxiv.org/abs/astro-ph/0608501v2
http://hdl.handle.net/1860/1922
Appears in Collections:Faculty Research and Publications (Physics)

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