|
iDEA: Drexel E-repository and Archives >
Drexel Academic Community >
College of Arts and Sciences >
Department of Physics >
Faculty Research and Publications (Physics) >
Flexion and skewness in map projections of the Earth
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)
|
Items in iDEA are protected by copyright, with all rights reserved, unless otherwise indicated.
|
www.drexel.edu
