# Equirectangular Projection

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This is a type of projection for mapping a portion of the surface of a sphere to a flat image. It is also called the "non-projection", since the horizontal coordinate is simply longitude, and the vertical coordinate is simply latitude. The equirectangular projection was used in map creation since it was invented about 100 A.D. by Marinus of Tyre. See [http://mathworld.wolfram.com/EquirectangularProjection.html Mathworld's page] for more detailed information on the mathematics of this projection. | This is a type of projection for mapping a portion of the surface of a sphere to a flat image. It is also called the "non-projection", since the horizontal coordinate is simply longitude, and the vertical coordinate is simply latitude. The equirectangular projection was used in map creation since it was invented about 100 A.D. by Marinus of Tyre. See [http://mathworld.wolfram.com/EquirectangularProjection.html Mathworld's page] for more detailed information on the mathematics of this projection. | ||

− | In an equirectangular panoramic image all verticals remain vertical. Coordinates in the image relate | + | In an equirectangular panoramic image all verticals remain vertical, and the horizon becomes a straight line across the middle of the image. Coordinates in the image relate linearly to pan and tilt angles in the real world. The poles (zenith,nadir) are located at the top,bottom edge and are stretched to the entire width of the image. Areas near the poles get stretched horizontally and squashed vertically. |

− | Equirectangular projection is the output format of a rotating (scanning) panorama camera equipped with a fisheye lens - 180� fisheye giving a full sphere at 360� rotation. | + | The Equirectangular projection is the default output format of a rotating (scanning) panorama camera equipped with a fisheye lens -- 180� fisheye giving a full sphere at 360� rotation. |

− | Images in the Equirectangular projection are used as the image source by several spherical [[panoviewer|panorama viewers]], including [[Panorama_tools|PTViewer]]. | + | Images in the Equirectangular projection are commonly used as the image source by several spherical [[panoviewer|panorama viewers]], including [[Panorama_tools|PTViewer]]. |

## Revision as of 20:39, 25 March 2005

## Definition

This is a type of projection for mapping a portion of the surface of a sphere to a flat image. It is also called the "non-projection", since the horizontal coordinate is simply longitude, and the vertical coordinate is simply latitude. The equirectangular projection was used in map creation since it was invented about 100 A.D. by Marinus of Tyre. See Mathworld's page for more detailed information on the mathematics of this projection.

In an equirectangular panoramic image all verticals remain vertical, and the horizon becomes a straight line across the middle of the image. Coordinates in the image relate linearly to pan and tilt angles in the real world. The poles (zenith,nadir) are located at the top,bottom edge and are stretched to the entire width of the image. Areas near the poles get stretched horizontally and squashed vertically.

The Equirectangular projection is the default output format of a rotating (scanning) panorama camera equipped with a fisheye lens -- 180� fisheye giving a full sphere at 360� rotation.

Images in the Equirectangular projection are commonly used as the image source by several spherical panorama viewers, including PTViewer.