the spatial decomposition of a map, one cell per site: the vertices V, the vertex pair F and the site pair of every face, the sites and the lattice

Input

V planar vertex coordinates
F pairs of vertex indices describing faces between cells
cells pairs of adjacent site indices for every face
sites measurement sites represented by the cells
A lattice basis
plane mapPlane of the geometry
shape cell or map shape metadata

Members

nSites the number of sites, the measurements, the holes and the outer rings
site2pixel the measurement of every site, NO_PIXEL where it has none, and the index of every site
siteAt the site whose cell covers a point: its nearest site, since a cell is the set of points nearer to its site than to any other, searched over the lattice cells around the point
siteIJ the lattice indices of the sites
unitCell2d the corners of one lattice cell in the plane’s coordinates
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/cellComplex_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.