a fibre in orientation space: the orientations mapping the crystal direction h onto the specimen direction r, or the arc of them between two orientations; a list of fibres by shape

Syntax

f = fibre(h, r)

The orientations with ori * h = r.

f = fibre(h, r, ss)

f = fibre(o1, o2)

The arc from o1 to o2 about the axis between them.

f = fibre(o1, h)

The whole fibre through o1 about h.

f = fibre(o1, o2, full=True)

The full fibre through the arc.

Input

`a`	crystal direction h, or first orientation o1
`b`	specimen direction r, second orientation o2, or a crystal direction for a fibre through o1
`frames`	optional crystal and specimen frames
`full`	include the entire circular fibre rather than only the arc between two orientations; default False

Members

alpha	the alpha fibre of rolling textures, between the orientations MTEX puts at its ends
angle	the angle by which ori * h misses r, the least over both orbits, from the chord of the closest pair
antipodal	whether the fibre is antipodal, read off its crystal direction
arcAngle	the angle turned about h from o1 to o2, the whole circle when full
beta	the beta fibre of rolling textures, between the orientations MTEX puts at its ends
cat	the fibres joined into one list along an axis, MATLAB’s [f1, f2]
CS	the crystal frame of the fibre, MATLAB’s f.CS
epsilon	the epsilon fibre of rolling textures, between the orientations MTEX puts at its ends
eq	equal when the frames are the same and h and r agree up to the symmetry of the frames within tol, both flipped counting as well
eta	the eta fibre of rolling textures, between the orientations MTEX puts at its ends
fibre	a fibre in orientation space: the orientations mapping the crystal direction h onto the specimen direction r, or the arc of them between two orientations
fit	the fibre that fits a list of orientations best, MATLAB’s fibre.fit
flatten	the fibres as a flat list
frameA	the frame the orientations map from, the crystal frame
frameB	the frame the orientations map to, the specimen or a second crystal frame
gamma	the gamma fibre of rolling textures, between the orientations MTEX puts at its ends
horzcat	the fibres joined into one list along an axis, MATLAB’s [f1, f2]
isFull	the fibre is full when both ends coincide
multiplicity	the number of distinct symmetrically equivalent fibres
ndim	the number of dimensions of the list of fibres
ne	Return self!=value
orientation	the orientations along the fibre, points x shape, turning about h from o1 to o2, MATLAB’s fibre.orientation
plot	plot(x, …) draws x as its kind is drawn
plotIPDF	inverse pole figures, one per specimen direction: of an ODF or of a list of orientations
plotPDF	pole figures, one per crystal direction: of an ODF, of a list of orientations or of a measured PoleFigure
r	the specimen direction of the fibre, o1 * h
rand	random fibres between random crystal and specimen directions, of the shape and between the frames given
reshape	the fibres in another shape
rotation	the rotations along the fibre, points x shape, turning about h from o1 to o2, MATLAB’s fibre.rotation
shape	the shape of the list of fibres
size	the number of fibres in the list
SS	the specimen frame of the fibre, MATLAB’s f.SS
subsref
symmetrise	the symmetrically equivalent fibres, MATLAB’s fibre.symmetrise
tau	the tau fibre of rolling textures, between the orientations MTEX puts at its ends
theta	the theta fibre of rolling textures, the orientations with <100> along the normal direction
vertcat	the fibres joined into one list along an axis, MATLAB’s [f1, f2]

Used on

OrientationFibre, EBSDAdvancedMaps, EBSDOrientationAnalysis, BinghamODFs, FibreODFs, ODFCharacteristics, ODFPlot, ODFPoleFigure, Annotations, PlotTypes, PoleFigure2ODFGhostCorrection, RotationFibre

MATLAB’s fibre_index

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/fibre_index_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.

The class fibre

Syntax

Input

Members

Used on