the regular grid of directions a spherical plot samples its chart at; MATLAB’s plotS2Grid

Syntax

r = plotS2Grid(resolution=5*degree)

The grid of the whole sphere.

r = plotS2Grid(cs, resolution=2*degree, upper=True)

Crystal directions, upper hemisphere.

r = plotS2Grid(resolution=(5*degree, 2.5*degree))

5 degree in the polar angle, 2.5 in the azimuth.

contourf(r, r.z ** 2)

Values on the grid, drawn as they lie.

Description

The directions form a (theta, rho) array, the rows the polar angle, the columns the azimuth, in the frame given, so that values computed on them are drawn by contourf or pcolor without interpolation. A grid of both hemispheres puts them side by side with a blank column between. The region is the whole sphere, or the sphericalRegion given.

MATLAB’s bounds minRho, maxRho, minTheta, maxTheta and restrict2MinMax are not taken: pass a sphericalRegion.

Input

`frame`	a reference frame the directions are expressed in, e.g. crystalFrame(‘m-3m’)
`sR`	sphericalRegion, the region of the grid

Keywords

keyword	default	description
`resolution`	`1*degree`	the spacing of the grid, an angle, or a pair (polar, azimuthal)
`upper`	`False`	the upper hemisphere only
`lower`	`False`	the lower hemisphere only
`complete`	`False`	the whole sphere
`antipodal`	`None`	a grid of axes, the upper hemisphere enough

Output

`r`	vector3d, a (theta, rho) array of directions

Used on

SchmidFactor

MATLAB’s plotS2Grid

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/plotS2Grid_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.

plotS2Grid