A method of orientation.

the orientations of ori nearest to w up to symmetry, MATLAB’s orientation.find

Syntax

ind, d = ori.find(w)

The nearest of ori to every w.

ind, d = ori.find(w, 5)

The 5 nearest.

I, D = ori.find(w, 5*degree)

All within 5 degree.

Description

The distance is the misorientation angle up to the symmetries of the frames, and the grain exchange where ori is antipodal; d are angles. Long lists are searched through a quaternion k-d tree, short ones by all the angles.

Input

ori orientation, the list searched
w orientation, the orientations searched for

Keywords

keyword default description
epsOrK None an integer k for the k nearest, a float for the radius of the search

Output

ind the index into ori of the nearest, of the shape of w; with k a (len(w), k) array of distinct indices
d the angles, of the shape of ind
I, D with a radius the sparse incidence and the sparse angles, (len(w) x len(ori))

See also

vector3d.find, SO3Grid.find, orientation.angle

MATLAB’s orientation.find

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/orientation.find_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.