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
[math]\displaystyle{ \begin{align} x &= \frac{3 \lambda}{2} \sqrt{\frac{1}{3} - \left(\frac{\varphi}{\pi}\right)^2} \\ y &= \varphi \end{align} }[/math]
where [math]\displaystyle{ \lambda }[/math] is the longitude, and [math]\displaystyle{ \varphi }[/math] 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. pp. 202. ISBN 0-226-76747-7. https://books.google.com/books?id=0UzjTJ4w9yEC&pg=PA279. Retrieved 2014-11-05.
- ↑ Goldberg, David M.; Gott III, J. Richard (2007). "Flexion and Skewness in Map Projections of the Earth". Cartographica 42 (4): 297–318. doi:10.3138/carto.42.4.297. http://www.physics.drexel.edu/~goldberg/projections/goldberg_gott.pdf. Retrieved 2014-11-05.
- ↑ 3.0 3.1 Capek, Richard (2001). "Which is the best projection for the world map?". Proceedings of the 20th International Cartographic Conference (Beijing, China) 5: 3084–93. http://icaci.org/documents/ICC_proceedings/ICC2001/icc2001/file/f24014.doc. 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.
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