Kavrayskiy VII projection

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. Regardless, it has not been widely used outside the former Soviet Union.^[3]

The projection is defined as

${\begin{aligned}x&={\frac {3\lambda }{2}}{\sqrt {{\frac {1}{3}}-\left({\frac {\varphi }{\pi }}\right)^{2}}}\\y&=\varphi \end{aligned}}$

where $\lambda$ is the longitude, and $\varphi$ is the latitude in radians.

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

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.

[Snyder-1] 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-Gott-2] 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.

[Capek-3] 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.

[1]

[2]

[3]

Kavrayskiy VII projection

See also

References

External links