a class representing a spherical triangulation
The Delaunay triangulation of a set of directions, computed as the convex hull of the points. Besides the triangles it stores the adjacencies and the neighbour of every triangle, which is what the barycentric interpolation of S2FunTri and the local search on it need.
Syntax
sT = S2Triangulation(v)Input
| v | vector3d, the vertices |
Output
| sT | S2Triangulation |
Class Properties
| vertices | vector3d, the nodes |
| edges | vector3d, the normals of the triangle edges |
| T | list of triangles as indices into vertices |
| midPoints | vector3d, the center of each triangle |
| A_V | adjacency matrix of the vertices |
| A_T | adjacency matrix of the triangles |
| neighbours | the three neighbours of each triangle |
| antipodal | identify v and -v |
| frame | referenceFrame, carried by the vertices |
| how2plot | plottingConvention, read only |
Example
sT = S2Triangulation(equispacedS2Grid('resolution',10*degree))sT =
S2Triangulation with properties:
vertices: [1×412 S2Grid]
edges: [820×3 vector3d]
T: [820×3 double]
midPoints: [820×1 vector3d]
A_V: [412×412 double]
A_T: []
neighbours: [3×820 double]
antipodal: 0
frame: []
how2plot: [1×1 plottingConvention]See also
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.S2Triangulation.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.