the Delaunay triangulation of directions on the sphere, their convex hull: the triangles T, counterclockwise from outside, and the triangle opposite each vertex; the directions must surround the origin

Syntax

sT = S2Triangulation(v)
B = sT.barycentric(w)

Input

vertices vector3d directions surrounding the origin; vertices are normalised to the unit sphere

Members

calcBario the barycentric coordinates of directions in the triangulation, a sparse matrix with a row per direction and a column per vertex (MATLAB’s calcBario)
checkInside whether each direction v lies in the triangle t given for it
frame the frame of the vertices
locate the triangle every direction lies in and its coordinates there, by a walk from the triangle with the nearest centre towards the vertex a coordinate says is missing
plot plot(x, …) draws x as its kind is drawn
rotate rotate(x, rot) is x.rotate(rot), or rot * x for an object without that method
S2Triangulation the Delaunay triangulation of directions on the sphere, their convex hull: the triangles T, counterclockwise from outside, and the triangle opposite each vertex

MATLAB’s S2Triangulation_index

source

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/S2Triangulation_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.