A method of SO3TangentVector.

the disjoint list of tangent vectors at one shared reference

Syntax

u = unique(v)

One of each.

u = unique(v, tol=1e-3)

A coarser tolerance.

u, iv, iu = unique(v, return_index=True, return_inverse=True)

The index maps.

Description

Two tangent vectors are one when their components agree to tol after rounding to multiples of it. The vectors must share one reference and one side, which the result keeps. The order is that of first appearance, where MATLAB sorts unless ‘stable’ is given.

Input

v SO3TangentVector

Keywords

keyword default description
tol 1e-06 the tolerance in the components, in radians
return_index False also return iv
return_inverse False also return iu

Output

u SO3TangentVector, a one-dimensional list at the reference of v
iv indices with u = v.flatten()[iv]
iu indices with v.flatten() = u[iu]

See also

vector3d.unique, orientation.unique, orientation.log

MATLAB’s SO3TangentVector.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/SO3TangentVector.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.