plot of a vector field on SO(3) as arrows in the sections of orientation space

Syntax

plot(G)

Arrows in phi2 sections, G = odf.grad().

quiverSectionField(G, 'phi1')

In phi1 sections.

quiverSectionField(G, resolution=15*degree, color='b')

A coarser grid of blue arrows.

Description

At the nodes of a grid in every section the field is evaluated, and the arrow shows where a small turn about the field’s axis moves the orientation within the section, its length the size of the field. The arrows go into the sections of a held figure, the sections given as an ODFSections object or named by a string, or new phi2 sections; Euler angle and pole figure sections (sigma) are drawn, the others refused.

Input

G SO3VectorField, a vector field on SO(3), as the gradient of an ODF

Keywords

keyword default description
color 'k' the colour of the arrows
lineWidth 1.0 the width of the arrows
resolution 10*degree the spacing of the grid of arrows in every section, an angle

See also

SO3FunHarmonic.grad, plotSection, quiverSection, SO3FunVectorField

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/quiverSectionField_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.