orientationRegion.orientationRegion edit page

implements a region in orientation space The region is bounded by planes normal to quaternions N i.e., all quaternions q inside a region satisfy the condition dot(q, N) <= 0 or dot(-q, N) <= 0 for all N

The most common one is the fundamental region of a pair of symmetries, which is what fundamentalRegion returns and what project2FundamentalRegion projects into. Setting antipodal identifies q and inv(q), i.e. adds grain exchange symmetry.

Syntax

oR = fundamentalRegion(cs1,cs2)
oR = orientationRegion(N)
oR = orientationRegion(N,'antipodal')

Input

`N`	`quaternion, the normals of the bounding faces`
`cs1, cs2`	`crystalSymmetry`

Output

`oR`	`orientationRegion`

Options

antipodal identify q and inv(q)

Class Properties

`N`	`quaternion, the normals of the bounding faces`
`V`	`orientation, the vertices`
`F`	`the faces as indices into V`
`E`	`the edges`
`faceCenter`	`orientation, center of each face`
`CS1, CS2`	`the two symmetry`
`antipodal`	`identify q and inv(q)`

Example

oR = fundamentalRegion(crystalSymmetry('432'))

oR = orientationRegion
 
 crystal symmetry:  432
 max angle: 62.7994°
 face normales: 14
 vertices: 24

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/orientationRegion.orientationRegion.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.

orientationRegion.orientationRegion