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An equirectangular projection of the Earth; the standard parallel is the equator.
The equirectangular projection with Tissot's Indicatrix of deformation

The equirectangular projection (also called the equidistant cylindrical projection, geographic projection, plate carrée or carte parallelogrammatique projection or CPP) is a very simple map projection attributed to Marinus of Tyre, who Ptolemy claims invented the projection about 100 AD.[1] The projection maps meridians to equally spaced vertical straight lines, and circles of latitude to evenly spread horizontal straight lines. The projection is neither equal area nor conformal. Because of the distortions introduced by this projection, it has little use in navigation or cadastral mapping and finds its main use in thematic mapping. In particular, the plate carrée has become a de-facto standard for computer applications that process global maps, such as Celestia and NASA World Wind, because of the particularly simple relationship between the position of an image pixel on the map and its corresponding geographic location on Earth.

Contents

Definition

x = \lambda \cos(\phi_1)\,
y = \phi\,

where

\lambda\, is the longitude from the central meridian of the projection,
\phi\, is the latitude
\phi_1\, are the standard parallels (north and south of the equator) where the scale of the projection is true.

Note that on the right side of the equation, the coordinates \lambda\, and \phi\, are linear, not angular, measurements. The point (0,0) is at the center of the resulting projection (in particular, this requires the input range to be [ − π,π] rather than [0,2π]). This projection maps longitude and latitude directly into x and y, hence is sometimes called the longitude-latitude projection.

The plate carrée (French, for "flat square"), is the special case where \phi_1\, is zero.

See also

References

  1. ^ Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp. 5-8, ISBN 0-226-76747-7.

External links


Simple English

the standard parallel is the equator.]]

The equirectangular projection (also called the geographic projection) is a simple map view made about 100 AD.[1] The projection maps Longitude and Latitude (vertical and horizontal map lines) to even straight lines. Because the map is stretched out, it can not be used in navigation. Its main use is to show large map areas.

Other pages

  • Cartography
  • Cassini projection
  • Gall-Peters projection with resolution regarding the use of rectangular world maps
  • Panorama

References

  1. Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp. 5-8, ISBN 0-226-76747-7.

Other websites








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