A method of orthogonalTransform.

the disjoint list of orthogonal transforms, those equal up to a tolerance taken as one

Syntax

u = unique(T)

Sorted, one of each.

u = unique(T, stable=True)

In the order of first appearance.

u, iT, iu = unique(T, return_index=True, return_inverse=True)

The index maps.

Description

Two transforms are one when their parities agree and their rotational parts agree to tol, a rotation and its negative counted as one.

Input

T orthogonalTransform

Keywords

keyword default description
tol 0.001 the tolerance in the quaternion coefficients
stable False keep the order of first appearance instead of sorting
return_index False also return iT
return_inverse False also return iu

Output

u orthogonalTransform, a one-dimensional list
iT indices with u = T.flatten()[iT]
iu indices with T.flatten() = u[iu]

See also

quaternion.unique, orientation.unique

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/orthogonalTransform.unique_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.