Projections that map directions on the sphere to plotting coordinates.

Class or function	Description
sphericalProjection	a projection of the sphere to the plane, restricted to a region and a hemisphere
eangleProjection	the equal angle, stereographic, projection: r = tan(theta / 2)
eareaProjection	the equal area, Schmidt, projection: r = 2 sin(theta / 2)
edistProjection	the equidistant projection: r = theta
gnomonicProjection	the gnomonic projection: r = tan(theta), great circles drawn as straight lines
orthographicProjection	the orthographic projection: r = sin(theta)
plainProjection	rho over theta in degrees: the polar angles of the frame itself, no convention
makeSphericalProjection	the charts a spherical plot is drawn on, the projection of the region its data cover

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/sphericalProjections_index_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX

@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.

Spherical projections