Functions - Alphabetical List
A
abs (vector3d) |
length of vector |
alignment (symmetry) |
return alignment of the reference frame as string, e.g. x||a, y||b* |
allPairs |
all pairs of elements of x and y modulo permutation |
angle (orientation) |
calculates rotational angle between orientations |
angle (quaternion) |
calcualtes the rotational angle between rotations q1 and q2 |
angle (vector3d) |
angle between two vectors Input v1, v2 - @vector3d |
angle_outer (quaternion) |
calcualtes the rotational angle between all rotations q1 and q2 |
angle_outer (vector3d) |
angle between two vectors |
angleDistribution (symmetry) |
compute the angle distribution of a uniform ODF for a crystal symmetry |
apply_recursivly |
apply cmd recursively to all file in a directory |
argin_check |
check ar to be of class classes |
arrow3d (vector3d) |
plot three dimensional arrows |
assertExt |
|
axesDual (crystalSymmetry) |
return dual coordinate axes |
axis (orientation) |
rotational axis of the orientation or misorientation |
axis (quaternion) |
rotational axis of the quaternion |
axis2quat |
rotational axis, roational angle to Quaternion |
axis2quat_outer |
rotational axis, roational angle to Quaternion |
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B
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C
c_hat |
return the second moments for bingham test |
calc_flags |
check for optional flag |
calcAngleDistribution (orientation) |
calculate angle distribution |
calcBario (DelaunaySO3) |
compute bariocentric coordinates for an orientation |
calcBinghamODF (orientation) |
calculate ODF from individuel orientations via kernel density estimation |
calcDelaunay (vector3d) |
compute the Delaynay triangulation for a spherical grid |
calcFourierODF (orientation) |
calculate ODF from individuel orientations via kernel density estimation |
calcKernel (orientation) |
compute an optimal kernel function for ODF estimation |
calcKernelODF (orientation) |
calculate ODF from individuel orientations via kernel density estimation |
calcODF (orientation) |
computes an ODF from individuel orientations |
calcQuadratureWeights (vector3d) |
compute the area of the Voronoi decomposition |
calcQuat (symmetry) |
calculate quaternions for Laue groups |
calcShearStress (tensor) |
shear stress |
calcTensor (orientation) |
compute the average tensor for a vector of orientations |
calcVoronoi (quaternion) |
compute the the Voronoi decomposition for unit quaternions |
calcVoronoi (vector3d) |
compute the area of the Voronoi decomposition |
calcVoronoiArea (vector3d) |
compute the area of the Voronoi decomposition |
call_extern |
execute extern program with arguments |
cat (Miller) |
concatenate lists of Miller indices to one list |
cat (S2Grid) |
|
cat (quaternion) |
|
cat (rotation) |
|
cat (vector3d) |
|
cell2file |
write cellstring to file |
char (Miller) |
Miller indece to string |
char (SO3Grid) |
convert to char |
char (crystalSymmetry) |
object -> string |
char (quaternion) |
quaternion to char |
char (rotation) |
quaternion to char |
char (specimenSymmetry) |
object -> string |
char (sphericalRegion) |
|
char (tensor) |
|
char (vector3d) |
convert to char |
check (DelaunaySO3) |
ignore this |
check (symmetry) |
check symmetry |
check_installation |
check whether all binaries are working properly |
check_option |
check for option in option list |
checkEulerAngleConvention |
|
checkFundamentalRegion (Miller) |
checks Miller indice to be within the fundamental region |
checkFundamentalRegion (orientation) |
checks whether a orientation sits within the fundamental region |
checkInside (sphericalRegion) |
check for points to be inside the spherical region |
checkOption |
check for option in option list |
checkSymmetry (tensor) |
|
ChristoffelTensor (tensor) |
Christoffel tensor of an elasticity tensor for a given direction |
circle (vector3d) |
annotated a circle |
cleanUp (sphericalRegion) |
|
ClebschGordan |
ClebschGordan.m by David Terr, Raytheon, 6-17-04 Modified on 11-9-04 |
ClebschGordanTensor |
A = [[1 1 -1];[1 1 1];[-1 1 1]]; |
coarser (S1Grid) |
makes S1Grid more coarse |
conj (tensor) |
conjugate of a tensor |
connectedComponents |
label connected componentes in an graph (adjacency matrix) |
contour (vector3d) |
spherical contour plot |
contourf (vector3d) |
spherical filled contour plot |
coolColorMap |
COOL Shades of cyan and magenta color map COOL(M) returns an M-by-3 matrix containing a "cool" colormap. COOL, by itself,
is the same length as the current figure's colormap. If no figure exists, MATLAB creates one.
|
copy (S2Grid) |
copy certain condition from grid |
copy (SO3Grid) |
copy nodes by indece |
cprproject_read |
|
cross (quaternion) |
pointwise cross product of three quaternions |
cross (vector3d) |
pointwise cross product of two vector3d |
cross_outer (vector3d) |
pointwise cross product of two vector3d |
crossCorrelation (orientation) |
computes the cross correlation for the kernel density estimator |
CSL |
coincidence site lattice misorientations for cubic symmetry |
ctranspose (quaternion) |
transpose quaternion |
ctranspose (tensor) |
conjugate of a tensor |
ctranspose (vector3d) |
transpose vector |
cubeOrientation |
returns the cube orientation |
cunion |
disjoint union |
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D
deg2dim |
dimension of the harmonic space up to order l |
degree |
x * degree = x in standard arc measure |
delete (S1Grid) |
delte points from S1Grid |
delete (S2Grid) |
elilinates points from grid |
delete (SO3Grid) |
clear nodes by indece Input SOG - @SO3Grid indece - int32 |
delete_option |
clear options in option list |
dim2deg |
dimension to harmonic degree of Wiegner D functions |
directionalMagnitude (tensor) |
magnitude of a tensor in direction v |
discretesample |
Samples from a discrete distribution |
disjoint (symmetry) |
returns the disjoint of two symmetry groups |
display (DelaunaySO3) |
standard output |
display (Miller) |
standard output |
display (S1Grid) |
standart output |
display (S2Grid) |
standard output |
display (SO3Grid) |
standard output |
display (crystalSymmetry) |
standard output |
display (orientation) |
standart output |
display (quaternion) |
standart output |
display (rotation) |
standart output |
display (tensor) |
standard output |
display (vector3d) |
standard output |
displayClass |
|
dist (S1Grid) |
distance to all points of S1Grid |
dist_outer (S1Grid) |
distance to all points of S1Grid |
doclink |
on Octave skip this |
docmethods |
for octave skip this |
docopt |
DOCOPT Web browser for UNIX platforms. DOCOPT is an M-file that you or your system manager can edit to specify the Web browser
to use with MATLAB. It is used for the WEB function with the -BROWSER option. It is also used for links to external Web sites
from the the Help browser and from Web menu items. DOCOPT applies only to non-Macintosh UNIX platforms.
|
dot (Miller) |
inner product between two Miller indece |
dot (orientation) |
compute minimum dot(o1,o2) modulo symmetry |
dot (quaternion) |
inner product of quaternions g1 and g2 |
dot (rotation) |
compute rot1 . rot2 |
dot (vector3d) |
pointwise inner product |
dot_angle (quaternion) |
compute minimum q1 . q2 modulo rotation about zaxis and angle omega |
dot_outer (Miller) |
inner product between two Miller indece |
dot_outer (SO3Grid) |
return outer inner product of all nodes within a eps neighborhood |
dot_outer (orientation) |
dot_outer |
dot_outer (quaternion) |
outer inner product between two quaternions |
dot_outer (rotation) |
dot_outer |
dot_outer (vector3d) |
outer dot product |
double (S1Grid) |
convert to double |
double (quaternion) |
quaternion to double |
double (tensor) |
|
double (vector3d) |
converts vector3d to double |
dspacing (Miller) |
space between crystal planes |
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E
efopen |
file open with error message |
eig (tensor) |
compute the eigenvalues and eigenvectors of a tensor |
EinsteinSum (tensor) |
tensor multiplication according to Einstein summation |
end (quaternion) |
overloads end function |
end (vector3d) |
overloaded end function |
ensurecell |
ensures that v is a cell with size s |
ensureCS (symmetry) |
ensures that an obj has the right crystal symmetry |
ensureNonNeg |
remove small negative values |
eq (S1Grid) |
implements G1 == G2 |
eq (crystalSymmetry) |
check S1 == S2 |
eq (quaternion) |
? q1 == q2 |
eq (sphericalRegion) |
|
eq (symmetry) |
check S1 == S2 |
eq (tensor) |
checks whether two tensors are equal |
eq (vector3d) |
? v1 == v2 |
equal |
check all elements of A to be equal |
equispacedS2Grid |
defines an equispaced spherical grid |
equispacedSO3Grid |
defines a equispaced grid in the orientation space |
Euler (quaternion) |
quaternion to euler angle |
euler2quat |
converts euler angle to quaternion |
EulerAngleConvention |
|
evalkappa |
eigenvalues of orientation tensor to bingham distribution parameters |
expm (tensor) |
matrix exponential of a tensor |
export (quaternion) |
export quaternions to a ascii file |
export (vector3d) |
|
extract_argoption |
extract options from option list |
extract_kernel |
|
extract_option |
extract options from option list |
extract_SO3grid |
|
extractOptions |
extract options from option list |
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F
fclencurt |
Fast Clenshaw Curtis Quadrature |
fibre2quat |
arbitrary quaternion q with q * h = r |
fibreVolume (orientation) |
ratio of orientations close to a certain fibre |
fibreVonMisesFisherKernel |
|
file2cell |
reads a file rowise into a cellstr |
find (S1Grid) |
find close points |
find (S2Grid) |
return index of all points in a epsilon neighborhood of a vector |
find (SO3Grid) |
return indece and distance of all nodes within a eps neighborhood |
find (quaternion) |
return indece and distance of all nodes within a eps neighborhood |
find (vector3d) |
return index of all points in a epsilon neighborhood of a vector |
find_option |
find postions of the options in option_list |
find_type |
parse arguments list for a specific type an returns the first occurance |
findTetra (DelaunaySO3) |
find tetrahegon |
Fourier (tensor) |
compute the Fourier coefficients of the tensor |
fundamentalSector (symmetry) |
get the fundamental sector for a symmetry in the inverse pole figure |
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G
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H
horzcat (quaternion) |
implements [q1,q2,q3..] |
horzcat (sphericalRegion) |
|
horzcat (tensor) |
overloads [T1,T2,T3..] |
horzcat (vector3d) |
overloads [v1,v2,v3..] |
hotColorMap |
HOT Black-red-yellow-white color map HOT(M) returns an M-by-3 matrix containing a "hot" colormap. HOT, by itself, is the
same length as the current figure's colormap. If no figure exists, MATLAB creates one.
|
hr2quat |
arbitrary quaternion q with q * h = r |
hsvColorMap |
HSV Hue-saturation-value color map HSV(M) returns an M-by-3 matrix containing an HSV colormap. HSV, by itself, is the same
length as the current figure's colormap. If no figure exists, MATLAB creates one.
|
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I
idquaternion |
the identical rotation - quaternion(1,0,0,0) |
idRotation |
the identical rotation |
ind2char |
calculates coordinate from one index i - index s - size of matrix |
interp (vector3d) |
dirty spherical interpolation - including some smoothing |
inv (orientation) |
inverse of an orientation |
inv (quaternion) |
quaternion of the inverse roation |
inv (tensor) |
inverse of a tensor |
inversion |
the inversion - reflection at the origin |
isappr |
check double == double |
isempty (quaternion) |
overloads isempty |
isempty (vector3d) |
overloads isempty |
isempty_cell |
isempty for cells |
iseven |
check double mod 2 == 0 |
isImproper (rotation) |
|
isLower (sphericalRegion) |
|
isMisorientation (orientation) |
check whether o is a misorientation |
isnull |
ckeck double == 0 |
isOctave |
|
isPerp (vector3d) |
check whether v1 and v2 are orthogonal |
ispos |
check double > 0 |
isUpper (sphericalRegion) |
|
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K
K_symmetrised (kernel) |
evaluate kernel modulo symmetries |
kde |
Reliable and extremely fast kernel density estimator for one-dimensional data; Gaussian kernel is assumed and the bandwidth
is chosen automatically; Unlike many other implementations, this one is immune to problems caused by multimodal densities
with widely separated modes (see example). The estimation does not deteriorate for multimodal densities, because we never
assume a parametric model for the data. INPUTS: data - a vector of data from which the density estimate is constructed;
n - the number of mesh points used in the uniform discretization of the interval [MIN, MAX]; n has to be a power of two;
if n is not a power of two, then n is rounded up to the next power of two, i.e., n is set to n=2^ceil(log2(n)); the default
value of n is n=2^12; MIN, MAX - defines the interval [MIN,MAX] on which the density estimate is constructed; the default
values of MIN and MAX are: MIN=min(data)-Range/10 and MAX=max(data)+Range/10, where Range=max(data)-min(data); OUTPUTS: bandwidth
- the optimal bandwidth (Gaussian kernel assumed); density - column vector of length 'n' with the values of the density estimate
at the grid points; xmesh - the grid over which the density estimate is computed; - If no output is requested, then the
code automatically plots a graph of the density estimate. cdf - column vector of length 'n' with the values of the cdf Reference:
Kernel density estimation via diffusion Z. I. Botev, J. F. Grotowski, and D. P. Kroese (2010) Annals of Statistics, Volume
38, Number 5, pages 2916-2957.
|
kernelDensityEstimation (vector3d) |
calculates a density function out of (weighted) unit vectors |
KLCV (orientation) |
Kullback Leibler cross validation for optimal kernel estimation |
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L
LaboTeXColorMap |
return LaboTeX colormap |
LaplaceKernel |
|
Laue (symmetry) |
return the corresponding Laue group |
LaueName (symmetry) |
get Laue name |
ldivide (orientation) |
o .\ v |
legendre0 |
Legendrepolynome bis zur Odnung N und gibt sie als Matrix zur�ck erste Dimension -> Ordnung zweite Dimension -> x |
length (quaternion) |
overloads length |
length (symmetry) |
number of symmetry elements |
length (tensor) |
returns the number of tensors |
length (vector3d) |
overloads length |
line (vector3d) |
|
linearCompressibility (tensor) |
computes the linear compressibility of an elasticity tensor |
load_generic |
load file using import data and txt2mat |
loadCIF |
import crystal symmetry from cif file |
loadPHL |
|
localOrientationGrid |
define a equispaced grid localized to a center orientation |
logm (tensor) |
matrix logarithm of a tensor |
LSCV (orientation) |
least squares cross valiadation |
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M
mat2quat |
converts direction cosine matrix to quaternion |
matrix (quaternion) |
quaternion to direction cosine matrix conversion converts direction cosine matrix to quaternion |
matrix (rotation) |
quaternion to direction cosine matrix conversion converts direction cosine matrix to quaternion |
matrix (tensor) |
return tensor as a matrix |
max (S1Grid) |
return maximum value |
max (tensor) |
|
maxAngle (symmetry) |
get the maximum angle of a fundamental region without interplay |
mean (orientation) |
mean of a list of orientations, principle axes and moments of inertia |
mean (quaternion) |
mean of a list of quaternions, principle axes and moments of inertia |
mean (vector3d) |
computes the mean vector |
mean_CS (quaternion) |
fast mean of |
measurePoleFigure |
simulate a polefigure measurement |
mhyper |
multivariat hypergeometric function 1F1(1/2,p/2, kappa) |
Miller2quat |
calculate quaternion from Miller indece |
min (S1Grid) |
return maximum value |
min (tensor) |
|
minus (S1Grid) |
|
minus (quaternion) |
overloads minus |
minus (tensor) |
add two tensors |
minus (vector3d) |
overload minus |
mldivide (orientation) |
o \ v |
mldivide (quaternion) |
|
mldivide (rotation) |
o \ v |
mpower (quaternion) |
q^n |
mrdivide (quaternion) |
scalar division |
mrdivide (tensor) |
implements T / S |
mtex_assert |
|
mtex_path |
return install dir of mtex |
mtexCifPath |
returns the default path to crystallographic information files (CIF) |
mtexdata |
load of data provided with mtex and often used in documentation |
mtexDataPath |
returns the default path to mtex sample data |
mtexdegchar |
returns the degree character |
mtexEBSDPath |
returns the default path to EBSD data files |
MTEXmenu |
show up MTEX menu |
mtexODFPath |
returns the default path to ODF-files |
mtexPoleFigurePath |
returns the default path to PoleFigure data files |
mtexTensorPath |
returns the default path to tensor-files |
mtimes (SO3Grid) |
outer quaternion multiplication |
mtimes (orientation) |
orientation times Miller and orientation times orientation |
mtimes (quaternion) |
quaternionen multiplication q1 * q2 |
mtimes (rotation) |
r = a * b |
mtimes (tensor) |
implements T1 * T2 |
mtimes (vector3d) |
scalar multiplication |
multiplicityPerpZ (symmetry) |
maximum angle rho |
multiplicityZ (symmetry) |
maximum angle rho |
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N
n2str |
num2str with exact zero |
nadjacent |
Returns the adjacency matrix of the n-neighbours. |
nanmax |
FORMAT: [Y,IDX] = NANMAX(A,DIM,[B]) |
nanmean |
FORMAT: Y = NANMEAN(X,DIM) |
nanmedian |
FORMAT: Y = NANMEDIAN(X,DIM) |
nanmin |
FORMAT: [Y,IDX] = NANMIN(A,DIM,[B]) |
nansum |
FORMAT: Y = NANSUM(X,DIM) |
ndims (quaternion) |
overloads ndims |
ne (quaternion) |
q1 ~= q2 ? |
ne (sphericalRegion) |
|
ne (tensor) |
checks whether two tensors are not equal |
ne (vector3d) |
? v1 == v2 |
newer_version |
check matlab version |
nfold (symmetry) |
maximal n-fold of symmetry axes |
niceEuler (orientation) |
orientation to euler angle |
norm (quaternion) |
quaternion norm sqrt(a^2+b^2+c^2+c^2) |
norm (vector3d) |
vector norm |
normalize (quaternion) |
normalize quaternion |
normalize (vector3d) |
normalize a vector |
numel (tensor) |
returns the number of tensors |
NWSE |
|
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O
option2str |
transforms option list to comma separated list |
orth (vector3d) |
an arbitrary orthogonal vector |
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P
parseXML |
PARSEXML Convert XML file to a MATLAB structure. |
parulaColorMap |
PARULA Blue-green-orange-yellow color map PARULA(M) returns an M-by-3 matrix containing a colormap. The colors begin with
dark purplish-blue and blue, range through green and orange, and end with bright yellow. PARULA is named after a bird, the
tropical parula, which has these colors.
|
patchPatala (vector3d) |
Syntax |
pauseline |
|
pcolor (vector3d) |
spherical contour plot |
pdfMatrix (DelaunaySO3) |
called by pdf |
permute (quaternion) |
overloads permute |
permute (rotation) |
overloads permute |
perp (vector3d) |
conmpute an vector best orthogonal to a list of directions |
pertube (quaternion) |
pertube data randomly by epsilon |
perturbe (quaternion) |
pertube data randomly by epsilon |
plot (S1Grid) |
plot grid |
plot (orientation) |
annotate a orientation to an existing plot |
plot (quaternion) |
|
plot (sphericalRegion) |
plots a spherical region |
plot (symmetry) |
plot symmetry |
plot (tensor) |
plot a tensor T |
plot (vector3d) |
plot three dimensional vector |
plot (kernel) |
plot the kernel function |
plot (patalaOrientationMapping) |
plot colorbar with patala misorientation colorcoding |
plot3d (vector3d) |
plot spherical data |
plotAngleDistribution (orientation) |
plot the angle distribution |
plotAngleDistribution (symmetry) |
plot axis distribution |
plotAxisDistribution (orientation) |
plot uncorrelated axis distribution |
plotCustom (vector3d) |
Syntax plotcustom(v,@(x,y) drawCommand(x,y)) % |
plotFourier (kernel) |
plot the Chybeyshev coefficients of the kernel function |
plotHKL (crystalSymmetry) |
plot symmetry |
plotIPDF (orientation) |
plot orientations into inverse pole figures |
plotODF (orientation) |
Plot EBSD data at ODF sections |
plotPDF (orientation) |
plot orientations into pole figures |
plotPDF (kernel) |
plot Radon transformed kernel |
plotS2Grid (tensor) |
define a plotting grid suitable for tensor plots |
plotS2Grid |
create a regular S2Grid for plotting |
plotSO3Grid |
give a regular grid in orientation space |
plus (S1Grid) |
|
plus (quaternion) |
pointwise addition |
plus (tensor) |
add two tensors |
plus (vector3d) |
poitwise addition |
PoissonRatio (tensor) |
computes the Poisson ratio of an elasticity tensor |
polar (S2Grid) |
polar coordinates of S2Grid |
polar (vector3d) |
cartesian to spherical coordinates Input v - @vector3d Output theta - polar angle rho - azimuthal angle r - radius |
polarCoordinates (sphericalRegion) |
compute polar coordinates of with respect to a spherical region |
power (quaternion) |
q.^n |
prod (quaternion) |
overloads q1 * q2 * q3 |
progress |
display progress |
project2EulerFR (orientation) |
projects orientation to a fundamental region |
project2EulerFR (quaternion) |
projects quaternions to a fundamental region |
project2FundamentalRegion (Miller) |
projects vectors to the fundamental sector of the inverse pole figure |
project2FundamentalRegion (orientation) |
projects orientation to a fundamental region |
project2FundamentalRegion (quaternion) |
projects quaternions to a fundamental region |
project2FundamentalRegion (rotation) |
projects rotation to a fundamental region |
project2FundamentalRegion (vector3d) |
projects vectors to the fundamental sector of the inverse pole figure |
project2ODFsection (orientation) |
project orientation to ODF sections used by plotODF |
properGroup (symmetry) |
return the corresponding Laue group |
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Q
qmatrix (quaternion) |
returns the quaternion multiplication matrix |
qq (quaternion) |
returns w * q' * q |
qqplot (orientation) |
quantile-quantile of misorientation angle against random angular misorientation |
quadric (tensor) |
quadric |
quantile |
n percent quantile of x |
quiver (vector3d) |
Syntax quiver(v,d) |
quiverGrid (tensor) |
|
qwarning |
warning with option to stop |
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R
randp |
randp(lambda) returns Poisson distributed Vector with mean lambda |
randq |
returns random quaternions |
randv |
|
range |
RANGE Sample range. Y = RANGE(X) returns the range of the values in X. For a vector input, Y is the difference between the
maximum and minimum values. For a matrix input, Y is a vector containing the range for each column. For N-D arrays, RANGE
operates along the first non-singleton dimension.
|
rdivide (quaternion) |
scalar division |
rdivide (tensor) |
|
rdivide (vector3d) |
scalar division |
real (quaternion) |
real-part of of quaternion |
real (tensor) |
|
red2blueColorMap |
creates a colormap, ranging from dark blue via white to dark red. |
refine (DelaunaySO3) |
step 1: compute center of any two orientation connected by an edge |
refine (S1Grid) |
refine S1Grid |
refine (S2Grid) |
refine S2Grid |
refine (vector3d) |
refine vectors |
reflection |
defines a reflection at plane with normal n |
region (Miller) |
return spherical region associated to a set of crystal directions |
region (vector3d) |
|
regularS2Grid |
Syntax regularS2Grid('points',[72 19]) regularS2Grid('resolution',[5*degree 2.5*degree]) regularS2Grid('theta',theta,'rho',rho) |
regularSO3Grid |
give a regular grid in orientation space |
rep |
implements R like "rep" elementeweise |
repcell |
equivalent to repmat for cells |
repentry |
reshape by element |
repmat (quaternion) |
overloads repmat |
repmat (rotation) |
overloads repmat |
repmat (vector3d) |
overloads repmat |
reshape (quaternion) |
overloads reshape |
reshape (rotation) |
overloads reshape |
reshape (vector3d) |
overloads reshape |
restrict2Lower (sphericalRegion) |
|
restrict2Upper (sphericalRegion) |
|
restrictEBSD_ang |
read file header |
rhoInside |
|
rhoRange (sphericalRegion) |
compute range of the polar angle of a spherical region |
RK_symmetrised (kernel) |
sum Radon trasformed kernel |
rmallappdata |
removes all figure appdata |
Rodrigues (quaternion) |
quaternion to rodrigues representation |
rodrigues2quat |
|
rotate (Miller) |
rotate crystal directions |
rotate (sphericalRegion) |
rotate of a spherical region |
rotate (tensor) |
rotate a tensor by a list of rotations |
rotate (vector3d) |
rotate vector3d by quaternion |
rotation_special (symmetry) |
returns symmetry elements different from rotation about c-axis |
round (Miller) |
tries to round miller indizes to greatest common divisor |
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S
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T
tensorSize (tensor) |
overloads size |
text (Miller) |
plot Miller indece |
text (vector3d) |
display a text in a spherical plot |
text3 (vector3d) |
plot three dimensional arrows |
times (orientation) |
vec = ori .* Miller |
times (quaternion) |
implements quaternion .* quaternion and quaternion .* vector3d |
times (rotation) |
r = a .* b |
times (tensor) |
multiply a tensor by a scalar |
times (vector3d) |
.* - componenwtise multiplication |
times_outer |
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transform (tensor) |
transform a tensor to a given crystal frame |
transformationMatrix (crystalSymmetry) |
compute the transformation matrix from cs1 to cs2 |
transformReferenceFrame (Miller) |
change reference frame |
transformReferenceFrame (orientation) |
only applicable for crystal symmetry |
transformReferenceFrame (tensor) |
set properties of a tensor variable |
transpose (quaternion) |
transpose array of quaternions |
transpose (rotation) |
transpose array of rotations |
transpose (tensor) |
conjugate of a tensor |
transpose (vector3d) |
transpose vector |
TSP (vector3d) |
traveling salesman problem on the 2 dimensional unit-sphere |
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U
uminus (quaternion) |
overload unitary minus |
uminus (rotation) |
implements -rotation |
uminus (vector3d) |
overloads unitary minus |
union (symmetry) |
returns the union of two symmetry groups |
unique (Miller) |
disjoint list of Miller indices |
unique (orientation) |
disjoint list of quaternions |
unique (quaternion) |
disjoint list of quaternions |
unique (rotation) |
disjoint list of rotations |
unique (vector3d) |
disjoint list of vectors |
UpDown |
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V
vdisp |
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vec2cell |
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vec42quat |
returns a quaternion q with q u_1 = v1 and q u2 = v2 |
velocity (tensor) |
computes the elastic wave velocity(km/s) from the elastic stiffness Cijkl tensor and density (g/cm3) |
vertcat (quaternion) |
implements [q1;q2;q3..] |
vertcat (tensor) |
overloads [T1,T2,T3..] |
vertcat (vector3d) |
overloads [v1,v2,v3..] |
Voigt (tensor) |
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volume (orientation) |
ratio of orientations with a certain orientation |
volume (sphericalRegion) |
volume of a spherical region |
volume (kernel) |
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volumeCompressibility (tensor) |
computes the volume compressibility of an elasticity tensor |
vonMisesFisherKernel |
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W
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X
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Y
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Z
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