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Sphere-to-Sphere Projections

Proportional Enlargement on a Spherical Surface

Bibliographic Data

ID14701117
AuthorsBarry J Kronenfeld (0000-0002-9518-2462, George Mason University, corresponding author)
Year2010
Volume45
Issue2
Pages152-158
Publication date2010-06-01
Open AccessNo
TypeARTICLE
VenueCartographica The International Journal for Geographic Information and Geovisualization (JOURNAL)
Journal identifiersISSN: 0317-7173 • E-ISSN: 1911-9925
PublisherUniversity of Toronto Press Inc. (UTPress) (PUBLISHER)
DOI10.3138/carto.45.2.152
OpenAlexW2145285388
LanguageEN
Citations received1
References cited3

An equivalent alignment-preserving projection family is developed to portray a region of the Earth on a spherical surface while altering the proportion of the sphere covered. Shape distortion is evaluated using Airy's criterion and compared to analogous projection onto a planar surface for a range of proportional enlargement factors and for regions varying in central latitude and latitudinal extent. Distortion from projection onto the sphere is found to be comparable with projection onto the plane for mid- to high-latitude regions of moderate geographic extent and proportional enlargement factors up to 25×. Several examples of sphere-to-sphere projection illustrate their potential uses and limitations

Cartography · Distortion (music · Geodesy · Geography · Geometry · Latitude · Map projection · Orthographic projection · Physics · Planar · Planar projection · Plane (geometry · Projection (relational algebra · Projection plane · SPHERES · Surface (topology · Computer Science · Historical Geography and Cartography · Inertial Sensor and Navigation · Mathematics · Spatial Cognition and Navigation · Artificial Intelligence

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Citations per year0.13
Citation span2018 - 2018 (1)
Highly citedNo

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