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Journal article
Flexion and Skewness in Map Projections of the Earth
Cartographica, v 42(4), pp 297-318
23 Aug 2006
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.
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35 citations in Scopus
Details
- Title
- Flexion and Skewness in Map Projections of the Earth
- Creators
- David M Goldberg - Drexel UniversityJ. Richard GottIII - Princeton University
- Publication Details
- Cartographica, v 42(4), pp 297-318
- Number of pages
- 22
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Scopus ID
- 2-s2.0-39049106712
- Other Identifier
- 991019296803304721