Sphere-to-Sphere Projections: Proportional Enlargement on a Spherical Surface

Autor:	Barry J. Kronenfeld
Rok vydání:	2010
Předmět:	Hammer projection Projection (mathematics) Planar projection Cassini projection Orthographic projection in cartography Mathematical analysis Orthographic projection Geometry Mollweide projection Behrmann projection Earth-Surface Processes Mathematics
Zdroj:	Cartographica: The International Journal for Geographic Information and Geovisualization. 45:152-158
ISSN:	1911-9925 0317-7173
DOI:	10.3138/carto.45.2.152
Popis:	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.
Databáze:	OpenAIRE
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