sphere_stereograph_display

sphere_stereograph_display, a MATLAB code which demonstrates the stereographic projection between a sphere and a plane by displaying a set of points and their images under the mapping.

This program is primarily an auxilliary demonstration of the properties of the sphere_stereograph() library; it is not a standalone application, and while it can be used to understand how to compute and display stereographic projections, a considerable amount of user modifications would be needed to adapt it to each particular problem of interest.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

sphere_stereograph_display is available in a MATLAB version and an Octave version.

Related Data and Programs:

sphere_stereograph_display_test

sphere_stereograph, a MATLAB code which computes the stereographic mapping between points on the unit sphere and points on the plane z = 1.

sphere_grid, a MATLAB code which provides a number of ways of generating grids of points, or of points and lines, or of points and lines and faces, over the unit sphere.

sphere_lebedev_rule_display, a MATLAB code which reads a file defining a lebedev quadrature rule for the sphere and displays the point locations.

Reference:

1. C F Marcus,
   The stereographic projection in vector notation,
   Mathematics Magazine,
   Volume 39, Number 2, March 1966, pages 100-102.

Source Code:

• icos_shape.m returns 12 points on the unit sphere that are the vertices of a regular icosahedron.
• sphere_stereograph.m maps points on the unit sphere to the plane Z = 1.
• sphere_stereograph_inverse.m maps points on the plane Z = 1 to the unit sphere.