Kavrayskiy VII 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 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.

The projection is defined as:

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

where λ is the longitude and φ is the latitude in radians.

See also

• List of map projections
• Cartography
• Wagner VI projection

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. doi:10.3138/carto.42.4.297. Retrieved 2014-11-05.
3. Capek, Richard (2001). "Which is the best projection for the world map?". Proceedings of the 20th International Cartographic Conference. Beijing, China. 5: 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.