Kavrayskiy VII projection

Pseudocylindrical compromise map projection
Kavrayskiy VII projection of the Earth
The Kavrayskiy VII projection with Tissot's indicatrix of deformation

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

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

where λ {\displaystyle \lambda } is the longitude, and φ {\displaystyle \varphi } is the latitude in radians.

See also

References

  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.
  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.
  3. ^ 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.
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Map projection
Cylindrical
Mercator-conformal
Equal-area
Pseudocylindrical
Equal-area
Conical
Pseudoconical
Azimuthal
(planar)
General perspective
Pseudoazimuthal
Conformal
Equal-area
Bonne
Bottomley
Cylindrical
Tobler hyperelliptical
Equidistant in
some aspect
Gnomonic
Loxodromic
Retroazimuthal
(Mecca or Qibla)
Compromise
Hybrid
Perspective
Planar
Polyhedral
See also