Colour keys that assign RGB colours to crystal or specimen directions.

Class or function Description
directionColorKey base class for assigning colours to directions with crystal symmetry
HKLDirectionKey the HKL vendor key on the Laue group: the three primaries blended linearly over the polar angle and the azimuth of the fundamental sector
HSVDirectionKey MTEX’s default direction key: white at the centre of the fundamental sector, the primary colours at its vertices
TSLDirectionKey the vendors’ keys, both on the Laue group whatever the frame carries (MATLAB TSLDirectionKey, HKLDirectionKey): TSL reads the polar coordinates of the sector from its centre, unfolded and without the hue correction
spotDirectionKey each centre, a crystal direction, given its colour, fading to white with the kernel of the angular distance to the nearest symmetric equivalent
sphereColor the colour of a point of the colour sphere, the hue from the azimuth and the lightness from the radius
regionCenter the centre of a region (MATLAB @sphericalRegion/center): the pole of a single circle, the bisector of the two boundaries furthest apart for a lune, the barycentre of the vertices of a triangle, and the area centroid of anything larger
sectorFolds the folds of a group’s sector, in the order they are applied
hasSmoothKey a group whose sector neither is bounded by its own mirrors nor folds onto such a half has no continuous one to one key
polarCoordinates polar coordinates of a region (MATLAB @sphericalRegion/polarCoordinates), which is what a colour key is built on: the radius is one at the centre and zero on the boundary, taken along the great circle through the centre, and the azimuth is measured about the centre from a reference direction and then equalised, so that a wide part of the sector takes as much of the turn as a narrow one and the vertices sit at equal angles

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/directionColorKeys_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.