A method of vector3d.

the closest points of this list to others, the k closest, or all within a radius; up to sign where either is antipodal, antipodal=True always, False never

Syntax

ind, d = v.find(w)

The nearest of v to every w, and its angle.

ind, d = v.find(w, 3)

The 3 nearest, an integer.

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

All within 5 degree, a float.

Description

The angles are reduced over the group of a crystal frame. Within a radius the result is two sparse matrices of len(w) x len(v), the hits and the angles; large lists of specimen directions are searched by a tree.

Input

v vector3d, the list searched
w vector3d, the directions searched for
epsOrK the number of neighbours, an integer, or the radius, a float

Keywords

keyword default description
antipodal None read the directions up to sign; by default where v or w is antipodal

Output

ind the indices into v, in the shape of w; (len(w), k) for k neighbours
d the angles to them
I, D sparse matrices of the hits and of the angles

See also

vector3d.angle, S2Grid.find

MATLAB’s vector3d.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/vector3d.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.