Kavrayskiy VII projection
{{Short description|Pseudocylindrical compromise map projection}}
File:Kavraiskiy VII projection SW.jpg]]
File:Kavrayskiy VII with Tissot's Indicatrices of Distortion.svg of deformation]]
The Kavrayskiy VII projection is a map projection invented by Soviet cartographer Vladimir V. Kavrayskiy in 1939 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, 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
x &= \frac{3 \lambda}{2} \sqrt{\frac{1}{3} - \left(\frac{\varphi}{\pi}\right)^2} \\
y &= \varphi
\end{align}
See also
References
{{Reflist|refs=
| title = Flattening the Earth: Two Thousand Years of Map Projections
| last = Snyder
| first = John P.
| author-link = John P. Snyder
| year = 1993
| publisher = University of Chicago Press
| location = Chicago
| isbn = 0-226-76747-7
| pages = 202
| url = https://books.google.com/books?id=0UzjTJ4w9yEC&pg=PA279
| access-date = 2014-11-05
}}
| url = http://www.physics.drexel.edu/~goldberg/projections/goldberg_gott.pdf
| title = Flexion and Skewness in Map Projections of the Earth
| year = 2007
| first1 = David M.
| last1 = Goldberg
| first2 = J. Richard
| last2 = Gott III
| journal = Cartographica
| volume = 42
| issue = 4
| pages = 297–318
| access-date = 2014-11-05
| doi=10.3138/carto.42.4.297
| arxiv= astro-ph/0608501
| s2cid = 11359702
}}
| last = Capek
| first = Richard
| year = 2001
| url = http://icaci.org/documents/ICC_proceedings/ICC2001/icc2001/file/f24014.doc
| title = Which is the best projection for the world map?
| journal = Proceedings of the 20th International Cartographic Conference
| location = Beijing, China
| volume = 5
| pages = 3084–93
| access-date = 2014-11-05
}}
}}
External links
{{Commons category|Maps with Kavrayskiy VII projection}}
- [http://www.physics.drexel.edu/~goldberg/projections/ Curvature in Map Projections], quantification of overall distortion in projections.
- [https://www.mapthematics.com/ProjectionsList.php?Projection=61#Kavraiskiy%20VII Mapthematics Kavrayskiy VII], bivariate distortion map.
- [http://www.progonos.com/furuti/MapProj/Normal/CartHow/HowKav7/howKav7.html Deducing the Kavrayskiy VII Projection], description of the properties of the Kavrayskiy VII projection.
{{Map projections}}