a sorted list of angles on an interval [min, max], periodic or not, the nearest neighbour and radius search of the tensor product grids S2Grid and SO3Grid

Syntax

S1G = S1Grid(np.arange(0, 360, 10)*degree, 0, 2*np.pi, periodic=True)

The angles of a circle.

S1G = S1Grid(points, 0, 1)

Angles on an interval.

S1G = S1Grid(points)

The interval from the smallest to the largest point.

Description

The points are sorted. Its use is the fast search: S1G.nearest(x), S1G.neighbours(x, eps) within a radius and S1G.dist(x, y), binary searches, plain arithmetic on an equispaced ladder; on a periodic grid min and max are identified and the distance wraps around the period max - min. MATLAB’s option ‘matrix’, one grid per column of points, is not taken.

Input

points array of angles, in radians
min the start of the interval, by default the smallest point
max the end of the interval, by default the largest point

Keywords

keyword default description
periodic False identify min and max: the grid lies on a circle of length max - min

Output

S1G S1Grid

See also

S2Grid, SO3Grid, equispacedSO3Grid

MATLAB’s S1Grid.S1Grid

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/S1Grid.S1Grid_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.