A method of pfSections.

where the symmetric equivalents of orientations fall: the direction of ori * h1, the section of the twist of ori * h2 and the index of the orientation; withRotation=True adds the rotations

Syntax

v, k, src = oS.sectionData(ori)

The points of every equivalent in its section.

v, k, src, q = oS.sectionData(ori, withRotation=True)

With the quaternions of the equivalents.

Description

Every orientation is symmetrised; an equivalent falls into the section whose twist angle of ori * h2 about ori * h1, measured against the reference field, lies within oS.tol of the section’s angle, and is drawn at ori * h1. Equivalents beside every section are left out.

Input

ori orientation between oS.frameA and oS.frameB

Keywords

keyword default description
withRotation False also return the quaternions of the equivalents

Output

v vector3d of the specimen frame, the direction ori * h1 of every equivalent kept
k int array, the section of every equivalent kept
src int array, the index into ori.flatten() every equivalent came from
q (n, 4) array, the quaternions of the equivalents kept (withRotation=True only)

See also

pfSections, sigmaSections, plotSection

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/pfSections.sectionData_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.