S2Grid.S2Grid edit page

The class S2Grid represent spherical grids. The central difference to a simple list of vector3d is that S2Grid provides more efficient methods for finding the closes points in the grid with respect to a given direction.

Syntax

% regular grid with fixed polar and azimuthal spacing
S2G = regularS2Grid('resolution',5*degree)
S2G = regularS2Grid('theta',(0:5:80)*degree,'rho',(0:5:355)*degree)
% regular grid optimized for plotting
S2G = plotS2Grid('resolution',1.5*degree,'upper')
% equispaced nodes  with given resolution
S2G = equispacedS2Grid('resolution',5*degree)

Options

points [nrho,ntheta] number of points
resolution resolution of a equispaced grid
theta polar angle
rho azimuthal angle
minRho starting rho angle (default 0)
maxRho maximum rho angle (default 2*pi)
minTheta starting theta angle (default 0)
maxTheta maximum theta angle (default pi)

Flags

lower, uper, complete restrict hemisphere
antipodal include antipodal symmetry
no_center ommit point at center
restrict2minmax restrict margins to min / max

Example

S2G = equispacedS2Grid('resolution',5*degree,'maxTheta',70*degree)
plot(S2G,'how2plot','y↑→x','upper')
S2G = S2Grid
 size: 1 x 577
 resolution: 5°

See also

vector3d.vector3d plotS2Grid regularS2Grid equispaceS2Grid

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.S2Grid.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.