orientations as points in a three dimensional space of orientations; MATLAB’s orientation/scatter

Syntax

scatter(ori)

In Euler angle space, in the fundamental region.

scatter(ori, axisAngle=True)

In axis angle space, the region around them.

scatter(ori, Rodrigues=True)

In Rodrigues space.

scatter(ori, ori.angle(), axisAngle=True, colorbar=True)

Coloured by a value each.

scatter(ori, ignoreFundamentalRegion=True)

The orientations as they are.

scatter(ori, all=True)

Every orientation, not a sample.

Description

Orientations are brought into the fundamental region of their symmetries and drawn in Euler angle space by default, misorientations and bare rotations in axis angle space; into held axes they go in the coordinates those already have. In axis angle space the boundary of the fundamental region is drawn behind them, for a bare rotation the ball of all rotations. The space can also be named by a positional string, ‘axisAngle’, ‘Rodrigues’, ‘Euler’ or ‘Bunge’, as MATLAB names it.

A list longer than 2000 orientations is drawn as 2000 of them taken at random, as MATLAB does; NaN orientations are left out with their values. A further set into held axes takes the next colour as open circles. plot3d(ori) is the same.

Input

`ori`	orientation or rotation
`data`	one value per orientation, or an (n, 3) array of RGB colours

Keywords

keyword	default	description
`axisAngle`	`False`	draw in axis angle space
`Rodrigues`	`False`	draw in Rodrigues space
`Euler`	`False`	draw in Euler angle space
`region`	`True`	draw the boundary of the fundamental region, or the ball, in axis angle space
`fundamentalRegion`	`True`	bring the orientations into the fundamental region
`ignoreFundamentalRegion`	`False`	keep the orientations as they are, the axes fitted to them
`complete`	`False`	keep the orientations as they are in the whole space, without the region
`points`	`None`	the number of orientations drawn, taken at random
`markerSize`	`5`	the size of the markers in points
`color`	`(0.0, 0.447, 0.741)`	the colour of the markers without data; by default the next colour of the order, as open circles
`colormap`	`'viridis'`	the colour map of the data
`colorRange`	`None`	(lo, hi), the values of the ends of the colour map; by default the range of the data
`colorbar`	`False`	add a colour bar of the data
`all`	`False`	draw every orientation, however many

Output

`h`	the matplotlib Path3DCollection of the markers

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/orientation.scatter_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.

orientation.scatter

Syntax

Description

Input

Keywords

Output

See also