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...

The stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use...

The Gall stereographic projection, presented by James Gall in 1855, is a cylindrical projection. It is neither equal-area nor conformal but instead tries...

based on the application of the stereographic projection of the celestial sphere. The point from which the projection is usually made is the South Pole...

Miller Oblated Stereographic Projection (Modified stereographic projection for continents of Africa and Europe.) GS50 projection (This projection are made from...

Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a...

is a generalization of near-sided perspective projection, allowing tilt. The stereographic projection, which is conformal, can be constructed by using...

Möbius transformation can be obtained by first applying the inverse stereographic projection from the plane to the unit sphere, moving and rotating the sphere...

The Roussilhe oblique stereographic projection is a mapping projection developed by Henri Roussilhe in 1922. The projection uses a truncated series to...

hyperbolic stereographic projection. This is illustrated in the figure to the right for n = 2. It is instructive to compare to stereographic projection for spheres...

of objects in space. For example, pole figures in the form of stereographic projections are used to represent the orientation distribution of crystallographic...

\neq 0} .) Call this point P. Point u on the plane z = 0 is the stereographic projection of point P on the Bloch sphere. The vector with tail at the origin...

methods of trigonometry or equivalently by using the stereographic projection. For the stereographic approach, suppose that P′ is a point on the x-axis...

Gall stereographic projection: another of Gall's projections. South-up map orientation Notes Gall, James (1885). "Use of cylindrical projections for geographical...

respectively. As the name indicates, the UPS system uses a stereographic projection. Specifically, the projection used in the system is a secant version based on...

compactification is given by the inverse stereographic projection. Recall that the stereographic projection S gives an explicit homeomorphism from the...

the ⁠ n {\displaystyle n} ⁠-sphere are called great circles. The stereographic projection maps the ⁠ n {\displaystyle n} ⁠-sphere onto ⁠ n {\displaystyle...

construct there are two common visualizations one can use: a layered stereographic projection, and a structure of intertwining rings (discrete Hopf fibration)...

3 {\displaystyle \mathbf {R} ^{3}} . To this end, consider the stereographic projection from the unit sphere minus the point ( 0 , 0 , 1 ) {\displaystyle...

and intersecting the flat plane in exactly one point. Under this stereographic projection the north pole itself is not associated with any point in the complex...

plane. Stereographic projection of a 3-sphere (again removing the north pole) maps to three-space in the same manner. (Notice that, since stereographic projection...

{\displaystyle N} ) are mapped onto themselves. They are the projection lines of the stereographic projection. The 6-sphere coordinates are a coordinate system for...

transforming the stereographic projection with a pole at infinity, by means of an elliptic function". The Peirce quincuncial is really a projection of the hemisphere...

geometry, projection of a sphere upon a plane was used by Ptolemy (~150) in his Planisphaerium. The method is called stereographic projection and uses...

principal bundle, by identifying the fiber with the circle group. Stereographic projection of the Hopf fibration induces a remarkable structure on R3, in...

a Riemann sphere, and different projections give different models of the hyperbolic plane: Stereographic projection from ( 0 , 0 , − 1 ) {\displaystyle...

strike-dip information of the plane it was measured from, using a stereographic projection. If a fault has lineations formed by movement on the plane, e.g...

Dimension two explains Earth's coordinate system, and introduces the stereographic projection. Chapter 2: Dimension three discusses how two-dimensional beings...

orthographic projection map is a map projection of cartography. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective...

spherical triangles), and projected onto the plane via a stereographic projection. This projection is conformal, preserving angles but not areas or lengths...