A method of SO3FunHarmonic.

the pole figures of an ODF, one axes per crystal direction; MATLAB’s plotPDF

Syntax

plotPF(odf, Miller(1, 0, 0, cs))

One pole figure.

plotPF(odf, [Miller(1, 0, 0, cs), Miller(1, 1, 1, cs)], resolution=2*degree)

Two, on a coarser grid.

plotPF(odf, h, contourf=True, colorbar=True)

Filled contours with a colour bar.

plotPF(odf, h, antipodal=True, complete=True)

Both hemispheres superposed, the whole sphere.

plotPF(odf, h, colorRange='equal', minmax=True)

One colour range, extrema marked.

plotPF(odf, [h1, h2], superposition=[1, 2])

One pole figure of the superposed directions.

plotPF(odf, pf.allH, superposition=pf.c)

The superposed pole figures of a measurement.

plotPF(odf, h, '3d')

The pole figure on a sphere in space.

Description

Every pole figure is the Radon transform odf.radon(h) of the ODF, the density of the specimen directions along which h lies. A list of directions draws one axes each, titled by its indices; title=False leaves them untitled (MATLAB’s noTitle).

Each pole figure takes its own colour range; colorRange=’equal’ gives one for all, a pair the limits.

superposition gives the structure coefficients of superposed directions:

  • one coefficient per direction: all directions make one superposed pole figure.
  • a list of coefficient arrays, one per entry of a list of direction sets: one superposed pole figure per set, as plotPF(odf, pf.allH, superposition=pf.c).

The other keywords are those of the spherical plots: resolution, the styles pcolor, contourf=True or contour=True with their levels, colorbar, minmax, antipodal, complete, upper, lower, the projection and the layout.

Input

odf SO3Fun
h Miller, or a list of Miller, the crystal directions

Keywords

keyword default description
superposition None the structure coefficients of superposed directions, an array or one array per entry of h

Output

h the matplotlib surfaces, one per chart

See also

plotIPF, plotSection, annotate, PoleFigure.plot, SphericalProjections

MATLAB’s SO3FunHarmonic.plotPDF

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/SO3FunHarmonic.plotPDF_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.