![]() ![]() R is the radius of the sphere, which controls the zooming effect. The parameters Φ 0 and λ 0 are user controlled and effectively set the projection point viewing position (try clicking and dragging the Flash demo below). Φ is the latitude and λ is the longitude. It is conformal, which means that it preserves angles locally (note the grid lines still cross each other at right angles) although it doesn't preserve areas or distances.Īs we already have the colour of each longitude and latitude point on a sphere from the equirectangular panorama the inverse stereographic projection formulas are used, as described by Mathworld. Stereographic projection is a mapping that projects a sphere onto a plane, as illustrated with the world map below. Luckily there is a huge selection of creative-commons licensed panoramas on Flickr we can start playing with. If you want to create your own a few tutorials have been written on the subject. 1024x512 pixels.Ĭreating equirectangular panoramas is quite an art. A proper equirectangular panorama should be twice as wide as tall, e.g. For any longitude or latitude position on a sphere we can retrieve the colour directly from the corresponding x,y coordinates on the panorama image. This is an image where the x-axis corresponds to the longitude around a sphere (0-360 degrees) and the y-axis is the latitude (-90 to 90 degrees). To generate these images we start with a spherical ( equirectangular) panorama. It is possible to seamlessly move from a birds-eye view in the sky to that of a bug on the ground! ![]() Published on 17 June 2010 Little planets are created by applying a stereographic projection to a spherical panorama. ![]()
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