Kavrayskiy VII projection: Difference between revisions
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[[File:Kavrayskiy VII with Tissot's Indicatrices of Distortion.svg|upright=1.6|thumb|The Kavrayskiy VII projection with [[Tissot's indicatrix]] of deformation]] |
[[File:Kavrayskiy VII with Tissot's Indicatrices of Distortion.svg|upright=1.6|thumb|The Kavrayskiy VII projection with [[Tissot's indicatrix]] of deformation]] |
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The '''Kavrayskiy VII projection''' is a [[map projection]] invented by Soviet cartographer [[Vladimir V. Kavrayskiy]] in 1939<ref name="Snyder"/> for use as a general-purpose pseudocylindrical projection. Like the [[Robinson projection]], it is a compromise intended to produce good-quality maps with low distortion overall. It scores well in that respect compared to other popular projections, such as the [[Winkel tripel projection|Winkel tripel]],<ref name="Goldberg-Gott"/><ref name="Capek"/> |
The '''Kavrayskiy VII projection''' is a [[map projection]] invented by Soviet cartographer [[Vladimir V. Kavrayskiy]] in 1939<ref name="Snyder"/> for use as a general-purpose pseudocylindrical projection. Like the [[Robinson projection]], it is a compromise intended to produce good-quality maps with low distortion overall. It scores well in that respect compared to other popular projections, such as the [[Winkel tripel projection|Winkel tripel]],<ref name="Goldberg-Gott"/><ref name="Capek"/>. Despite straight, evenly spaced [[Parallel (latitude)|parallels]] and a simple formulation, it has not been widely used outside the former [[Soviet Union]].<ref name="Capek"/> |
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The projection is defined as |
The projection is defined as |
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Revision as of 02:08, 13 May 2024
The Kavrayskiy VII projection is a map projection invented by Soviet cartographer Vladimir V. Kavrayskiy in 1939[1] for use as a general-purpose pseudocylindrical projection. Like the Robinson projection, it is a compromise intended to produce good-quality maps with low distortion overall. It scores well in that respect compared to other popular projections, such as the Winkel tripel,[2][3]. Despite straight, evenly spaced parallels and a simple formulation, it has not been widely used outside the former Soviet Union.[3]
The projection is defined as
where is the longitude, and is the latitude in radians.
See also
References
- ^ Snyder, John P. (1993). Flattening the Earth: Two Thousand Years of Map Projections. Chicago: University of Chicago Press. p. 202. ISBN 0-226-76747-7. Retrieved 2014-11-05.
- ^ Goldberg, David M.; Gott III, J. Richard (2007). "Flexion and Skewness in Map Projections of the Earth" (PDF). Cartographica. 42 (4): 297–318. arXiv:astro-ph/0608501. doi:10.3138/carto.42.4.297. S2CID 11359702. Retrieved 2014-11-05.
- ^ a b Capek, Richard (2001). "Which is the best projection for the world map?". Proceedings of the 20th International Cartographic Conference. 5. Beijing, China: 3084–93. Retrieved 2014-11-05.
External links
Wikimedia Commons has media related to Maps with Kavrayskiy VII projection.
- Curvature in Map Projections, quantification of overall distortion in projections.
- Mapthematics Kavrayskiy VII, bivariate distortion map.
- Deducing the Kavrayskiy VII Projection, description of the properties of the Kavrayskiy VII projection.