A method of S2Grid.

the nearest grid point of every direction and its angle, or with eps the sparse matrices of the points within eps and their angles; MATLAB’s S2Grid.find

Syntax

ind, d = S2G.find(v)

The nearest grid point and the angle to it.

I, d = S2G.find(v, 10*degree)

Every grid point within 10 degree.

Description

The search for the nearest point runs over the rings, a binary search in the polar angle and in the azimuth of each ring near it; the search within eps through a k-d tree. On an antipodal grid a direction and its antipode are the same.

Input

S2G S2Grid
v vector3d, the directions searched for

Keywords

keyword default description
eps None the radius of the search; by default only the nearest point is returned

Output

ind the index of the nearest grid point, of the shape of v
d its angle to v; with eps a sparse matrix (directions x grid) of the angles
I with eps a sparse boolean matrix (directions x grid) of the grid points within eps

See also

equispacedS2Grid, S2Grid.subGrid, fibonacciS2Grid.find

MATLAB’s S2Grid.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/S2Grid.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.