Stereographic projection - Wikipedia
In mathematics, a stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane (the projection plane) perpendicular to the diameter through the point.
Stereographic Projection -- from Wolfram MathWorld
2024年11月26日 — A map projection obtained by projecting points P on the surface of sphere from the sphere's north pole N to point P^' in a plane tangent to the south pole S (Coxeter 1969, p. 93). In such a projection, great circles are mapped to circles, and …
Stereographic map projection - Wikipedia
The stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates back to antiquity. Like the orthographic projection and gnomonic projection, the stereographic projection is an azimuthal projection, and when on a sphere, also a perspective projection.
Azimuthal Projection: Orthographic, Stereographic and Gnomonic
The key to understanding the stereographic projection is understanding its source of light. At the opposite end where the tangent plane touches the reference globe is the light source for the stereographic projection. This map projection is commonly used for polar aspects and navigation maps because of how it preserves shapes (conformal).
1.3: Stereographic Projection - Mathematics LibreTexts
2021年10月10日 — The map \(s\colon S^2\setminus \{N\}\to \mathbb{C}\) given by this rule is called stereographic projection. Using similar triangles, it is easy to see that \(s(a,b,c)=\frac{a+ib}{1-c}\text{.}\) Figure 1.3.3. Stereographic projection. We extend stereographic projection to the entire unit sphere as follows. We call the set
Stereographic Projection - an overview | ScienceDirect Topics
1991年6月15日 — A Stereographic Projection is a mapping technique that projects a sphere onto a plane, excluding the projection point. It is defined on the entire sphere except at the projection point, providing a way to represent spherical data in a two-dimensional space.
Stereographic projection is one way of making maps, and it preserves angles. It has been used since ancient times for this purpose, and its basic geometrical properties were known even then. 1. The projection. The basic idea is very simple. We apply ordinary perspective to a sphere embedded in three dimensions in a particular way.
AMS :: Feature Column :: Stereographic Projection
Stereographic projection is one way of making maps, and it adopts the second strategy. It has been used since ancient times for this purpose, and at least one of its basic geometrical properties was known even then.
Stereographic Projection
The relationship between the sphere and the Klein disk is given by stereographic projection, which is illustrated in Figure 7.2.1. A point \(P\) on the sphere of radius \(r\) is mapped to the point \(X\) in the horizontal plane by projecting \(P\) along the line connecting it to the south pole, \(S\text{.}\)
Chapter 6 : Stereographic Projection - Brown University
Stereographic Projection. Geographers have devised all sorts of projections from the curved surface of a sphere in three-space to flat two-dimensional maps. We have already been studying one of the most useful mapping techniques, central …