an equispaced grid of directions in a spherical cap about a centre

Syntax

v = localS2Grid(center, maxTheta=10*degree)

A cap of 10 degree.

v = localS2Grid(center, 10*degree, resolution=1*degree)

Finer.

v = localS2Grid(center, 60*degree, respectSymmetry=False)

Every point of the cap.

Description

The directions lie on rings about the centre, resolution apart. For a crystal direction in a frame with symmetry the grid keeps one representative of every direction the cap holds up to the symmetry, those nearer the centre than to any of its symmetric copies.

Input

center vector3d or Miller, the centre of the cap
maxTheta the radius of the cap

Keywords

keyword default description
resolution 5*degree the spacing of the grid
respectSymmetry True keep one representative of the directions symmetrically equivalent

Output

v vector3d in the frame of the centre

See also

equispacedS2Grid, localOrientationGrid

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/localS2Grid_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.