MTEX 6.0.beta.4 4/2024
Pseudo 3d EBSD and Grain maps
With version 6.0, MTEX starts to support pseudo 3d EBSD data. This means that EBSD maps are no longer restricted to the xyplane. For example it is now possible to consider EBSD maps that represent the three faces of a cube. To make this possible, multiple changes at the core of MTEX had to be introduced:
ebsd.pos
gives the position of the EBSD measurements and is of type vector3d many grain properties like vertices
grains.V
, centroidgrains.centroid
or long axisgrains.longAxis
are now of type vector3d. ebsd.N
,grains.N
gives the normal direction of a EBSD map it is not possible to merge EBSD maps with different normal direction into one variable
Free three dimensional plotting of EBSD maps, pole figures, etc.
 Plotting of EBSD and grain maps is now possible in 3d
 The alignment of x, y and z on the screen is now controlled by an object of type @plottingConvention. The code
would plot an EBSD map with its normal direction out of the screen and the yvector pointing to north. * A default plotting convention can be stored directly in the EBSD or grain variable via
 The plotting convention can also be passed to any spherical plot. This allows e.g. to plot pole figures with an arbitrary direction pointing out of the screen.
 As consequence
'upper'
and'lower'
refers to the outOFScreen direction.
Interface to Neper Neper is an open source software package for 3d polycrystal generation and meshing. It is now possible to call Neper from within MTEX, simulate microstructures, generated slices through a 3d volume and import those slices into MTEX. Have a look at NeperInterface for more information.
MTEX 5.11.0 3/2024
MTEX 5.11 will be the last release before MTEX 6.0. It significantly improves grain reconstruction from 2d EBSD data.
Much Faster Grain Reconstruction
Thanks to using the jc_voronoi as tessellation method and some addition speedups grain reconstruction is now more than 10 times faster then previously. The method used for Voronoi tessellation is now specified in mtex_settings
by the option 'VoronoiMethod'
. You may want to set this option to 'qhull'
if you experience problems with the 'jcvoronoi'
engine.
Much Better Grain Reconstruction
With MTEX 5.11 MTEX uses alpha shapes to determine the shape of the grains in the presence of large unindexed regions. Those alpha shapes are controlled by a single parameter 'alpha'
with specifies to which extend indexed regions are allowed to grow into not indexed regions. Have a look at grain reconstruction for an illustration of the new method.
Vector Fields in Orientation Space
Functionality of Vector Fields in Orientation Space has been greatly extended. It includes now functions to compute the divergence div(vF)
, the curl curl(vF)
and the antiderivative of a vector field vF
on orientation space. This new functionality can be used to efficiently model texture evolution by numerically solving the continuity equation as it is demonstrated for the single slip model. Crucial for this approach is the new command doEulerStep
which updates an ODF or a list of orientation according to a vector field an orientation space which may be given e.g. by the Taylor model.
Lankford Parameter
The command calcLankford
allows for the computation of the Lankford or Rvalue. A full discussion of the corresponding analysis can be found here.
Transformation ODF
The command variants(p2c,odfParent)
takes now as a second input a parent ODF and return the child ODF under the assumption that all variants appear with the same frequency. This is in more detail explained in the section Transformation Texture.
Inner Planes in Crystal Shapes
Using the commands plotInnerFace
, plot(cS,sS)
and arrow3d
it is now possible to plot internal lattice planes, directions or slip systems into the crystal shape. This is explained in more detail at Crystal Shapes.
Numerous minor improvements and bug fixes
 new command
transformReferenceFrame(odf,csNew)
that allows to switch between different setups of the same symmetry, i.e. between 121 and 112.  improved h5 interface
 new function
cor(odf1,odf2)
to compute the correlation between two ODFs.  new function
lineIntersect
to compute the intersection between a line and a plane.  new class
S1Fun
to represent directional properties in the plane.  new function
volume(S2F,center,radii)
to compute the volume of a spherical function within a ball.  replaces
CLim
bysetColorRange
calcParentEBSD
computes also the variant and packet ids many bug fixes
MTEX 5.10.1 9/2023
This is mainly a bug fix release.
MTEX 5.10.0 5/2023
Weighted Burgers Vector
With the function weightedBurgersVec(ebsd)
it is now possible to compute the weighted burgers vector both, using the integral approach as well as the differential approach.
Bain Group Determination
The function calcVariantId
now returns an id for the variant, the packet and the Bain group. The usage of this function is demonstrated here.
Numerous minor addon, speed improvements, bug fixes
 New option
'max'
toangle(mori)
to compute the largest misorientation angle. Helpful for identifying twinning.  Added checks for symmetry and positive definiteness when defining stress, strain and elasticity tensors.
 Add morphological filter
erode(ebsd)
as a simple method for data cleaning in EBSD maps.  Pseudesymmetries like 532 are now natively supported using the syntax
crystalSymmetry('532')
symmetrise(t,'iso')
return the isotropic portion of a tensorsymmetricDecomposition
computes the symmetric decomposition of a tensor normalize the Taylor factor according to the strain
 display boundary length as default output
 better import of h5 files
 many more fixes and speed improvements
MTEX 5.9.0 2/2023
Habit Plane Detection
MTEX 5.9 includes powerful functions for the determination of predominant habit planes and habit plane distributions. For the setting of a fully transformed microstructure the are described in the paper plane determination from reconstructed parent phase orientation maps. Those functions include
 new function
calcTraces(grains)
andcalcTraces(ebsd)
to compute habit plane traces from families of grains or EBSD data.  new function
calcGBND(traces,ori)
to compute the grain boundary normal distribution from a list of habit plane traces and the corresponding grain orientations.  new function
characteristicShape(gB)
to compute the characteristic shape from lists of grain boundaries
Orientation dependent functions
The orientation distribution function (ODF) describes the relative volume of crystal orientations within a material. As such it is a function that associates to each orientation a number with unit mrd (multiples of random distribution). However, in material science many other orientation depended functions are of importance, e.g., the Taylor factor with respect to some outer strain depends on the local orientation. While ODFs have ever since been at the heart of MTEX, this release is the first one that includes full support for orientation dependent functions. Those functions are called SO3Fun and behave similar to spherical functions S2Fun. In particular one can
 add, subtract, multiply and divide with them
 compare them
 detect global and local extrema
 visualize them in 3d and 2d sections
 compute gradients
While implementing these new features we also significantly speed up all operations related with ODF operations. A full documentation of these new features can be found here.
MTEX 5.8.2 11/2022
This is mainly a bug fix release. New functionalities include
fibre.fit(ori)
andfibre.fit(odf)
robustly finds fibers in data sets of individual orientations and ODFs.angle(f1,f2)
computes the angle between two fibers.calcSymAxis(pf)
allows to find rotational symmetries in pole figures or arbitrary spherical functions.
MTEX 5.8.0 01/2022
MTEX 5.8 improves further on parent grain reconstruction by implementing the novel variant graph algorithm which is faster and more accurate than the previous grain graph algorithm.
Improved parent grain reconstruction
Along with the new reconstruction algorithm the following new features have been implemented:
 manual interactive parent orientation selection using
selectInteractive(job)
 new option
'reconsiderAll'
in <parentGrainReconstructor.calcGBVotes.htmlcalcGBVotes(job)
to recheck all assignments of parent orientations.  new option
'bestFit'
in <parentGrainReconstructor.calcGBVotes.htmlcalcGBVotes(job)
to consider only the best fitting neighbor job.votes
is now a table which contains the parentId votes and the probabilities for all grains
Misc Changes
 new option
'region'
forplot(ebsd)
to plot only a rectangular subregion of the map
MTEX 5.7.0 05/2021
MTEX 5.7 improves on parent grain reconstruction. Changes include:
Improved parent grain reconstruction
 The ordering of the variants is stored within the OR misorientation
p2c
asp2c.variantMap
. In particular the variants inp2c.variants
are ordered by default according to the Morito convention. This can be easily check by the commandround2Miller(p2c.variants)
 The command
job.calcGBVotes
andjob.calcTPVotes
compute votes associated with probabilities that are stored injob.votes
and can easily be analyzed.  The options
'noP2C'
and'noC2C'
have been replaced by'p2c'
and'c2c'
.  New option
job.useBoundaryMisorienation
which makes the parent grain reconstructor to use the misorientations along the grain boundaries instead of the misorientations between the grain mean orientations.  added ShojiNishiyama orientation relationship.
Other Changes
 The command
findByOrientation
accepts a fiber as input.  The antipodal
axisAngleColorKey
allows for option'antipodal'
.
MTEX 5.6.1 03/2021
This is mainly a bug fix release.
MTEX 5.6.0 01/2021
MTEX 5.6 greatly simplifies parent grain reconstruction by introducing the class parentGrainReconstructor
. During the reconstruction procedure this class keeps track of the correspondence between measured child grains and the reconstructed parent grains. It provides the following functions for recovering parent orientations which can be applied multiple times and in any order to achieve the best possible reconstruction.
calcParent2Child
 optimize parent to child orientation relationshipcalcGBVotes
 compute votes from child/child and parent/child grain boundariescalcTPVotes
 compute votes from child/child/child triple pointsjob.calcParentFromVote
 recover parent orientations from votesjob.calcParentFromGraph
 recover parent orientations from graph clusteresjob.mergeSimilar
 merge similar parent grainsjob.mergeInclusions
 merge inclusionsjob.revert
 undo parent grain reconstructions
The usage of this new class is demonstrated in Beta Titanium Reconstruction and Parent Martensite Reconstruction.
Compatibility fixes
MTEX 5.6 fixes several incompatibilities with MATLAB versions earlier then 2019b.
MTEX 5.5.0 11/2020
Orientation Embedding
Orientational embeddings are tensorial representations of orientations with the specific property that each class of symmetrically equivalent orientations has a unique tensor representation. In contrast to the well known representation by Rodrigues vectors those embeddings do not suffer from boundary effects, i.e., the Euclidean distance between the tensors is always close to the misorientation angle. This allows to lift any method that works for multivariate data to orientations. More details of this representation can be found in the chapter orientation embeddings and the paper
 R. Hielscher, L. Lippert, Isometric Embeddings of Quotients of the Rotation Group Modulo Finite Symmetries, arXiv:2007.09664, 2020.
Low Angle Boundaries
With MTEX 5.5 we make low angle grain boundary analysis much more straight forward by allowing to pass to the command calcGrains
two thresholds, i.e.,
generates grains bounded by high angle grain boundaries with a threshold of 10 degree and inner low angle boundaries with an threshold of 1 degree. The latter ones are stored as grains.innerBoundary
. In order to estimate the density of inner boundaries per grain the commands subBoundaryLength
and subBoundarySize
have been introduced. The documentation page Subgrain Boundaries describes the analysis of low angle boundaries in more detail.
New Functionalities
 For single phase EBSD maps you can access the orientations now more easily by
ebsd.orientations
instead ofebsd('indexed').orientations
. Orientations corresponding to not indexed pixels will be returned as NaN and thus automatically ignored during any further computation. grains.isBoundary
checks grains to be boundary grainsgrains.isInclusion
checks grains to be inclusionsmerge(grains,'inclusions')
merges inclusions into their hostsmerge(grains,'threshold',delta)
merges grains with a certain misorientation angle interpolation of EBSD maps at arbitrary coordinates by the command
interp
works now for hexagonal grids as well. In particular this allows to remap EBSD data from hexagonal to square grids and vice versa. Have a look at the chapter Interpolation for more details. calcMis2Mean
computes the misorientation to a grain reference orientation, i.e., the grain reference orientation deviation (GROD). KAM computation has been speed up significantly for hexagonal and square grids. Make sure to use the command
ebsd = ebsd.gridify
before the KAM computation.  new option
'edgeAlpha'
to control the transparency of grain boundaries, e.g. in dependency of the misorientation angle.  more easily add new / change phases in an EBSD map by one of the following commands
 new option to plot arrows in spherical plots by
export(ebsd,fileName)
allows to export to EBSD data to.ang
,.ctf
,.crc
and.hdf5
files, thanks to Azdiar Gazder new function
rot = fit(l,r)
to compute the rotations that best rotates all the vectorsl
onto the vectorsr
orientation.load
andvector3d.load
allows now to import additional properties.
Important Bug Fixes
volume(odf)
gave wrong results in the presence of specimen symmetry and for centers close to the boundary of the fundamental region.
slipSystem.symmetrise
gave incorrect number of slipsystems due to a rounding error
MTEX 5.4.0 7/2020
Parent Grain Reconstruction
MTEX now includes a number of functions for variant analysis and to recover parent grain structure. Examples include beta phase reconstruction in Titanium and Martensite reconstruction from Austenite grains. The reconstruction is mainly build around the following new commands
calcParent
computes the best fitting parent orientations from child orientationscalcChildVariants
separates child variants into packetscalcParent2Child
computes best fitting parent to child orientation relationship from child to child misorientationsvariants
computes all parent or child variants
New Functionalities
 new function
ebsd.interp
to interpolate EBSD maps at arbitrary x,y coordinates, example smooth(grains)
keeps now triple points and outer boundary fixed by default the field
grains.triplePoints.angles
returns the angles between the boundaries at the triple points  new option
'removeQuadruplePoints'
tocalcGrains
 harmonic approximation of spherical functions respecting symmetry
export(ebsd,'fileName.ang')
exports to .ang filesneighbours(grains)
now returns a list of pairs of neighboring grainsgrains.numNeighbours
returns the number of neighboring grainsselectByGrainId
allows to select boundary segments by pairs of grains new helper function
majorityVote
 new option
'noAntipodal'
for many commands likesymmetrise
,unique
,dot
,angle
 new predefined orientation relationship
orientation.Burgers
MTEX 5.3.1 6/2020
New Functions
 interp to interpolate EBSD maps
 grain properties longAxis, shortAxis
 grain boundary curvature
Bug Fixes
 loading ang files
 importing ODFs
 inverse pole figures misses orientations
 convex hull of grains has now correct boundaries
 Other Changes*
 vector3d/mean now returns not normalized vectors
 new flag
noAntipodal
to supress antipodal symmetry in calculations
MTEX 5.3.0 4/2020
MTEX 5.3 is a humble release without big shiny improvements. On the other hand is has seen some internal changes which lead to significant speed improvements in some functions. Technically speaking the class symmetry is not derived from rotation anymore but is a handle class. From the users perspective almost no change will be noticed. Developers should replace length(cs)
by numSym(cs)
.
Much Better and Faster Halfquadratic Filter
Denoising of EBSD data using the halfQuadraticFilter
is now about 10 times faster, handles outliers much better and runs native on hexagonal grids.
New Functions
plotWaveVelocities
illustrates anisotropy of seismic wavesgrainMean
grain averages of arbitrary properties shape functions
surfor
,paror
,caliper
multiplicity
for Miller, orientation and fiber
MTEX 5.2.3 11/2019
 replaced
calcODF(ori)
bycalcDensity(ori)
 bug fix in ODF reconstruction from XRD data
 bug fix in EBSD export to ctf
 bug fix in grain reconstruction
 some more minor bug fixes
MTEX 5.2.0 10/2019
New Documentation
MTEX got a new homepage which was needed to include a much more exhaustive online documentation which has now
 a sidebar for quick navigation
 a search field
 a complete function reference to all MTEX functions and classes
 UML diagrams illustrating the hierarchy of the classes
 much more content
The new documentation is not yet perfect though we are working hard to improve it. That's why we are extremely happy for everybody who contributes additions to the documentation. This includes the correction of spelling errors, theoretical parts, examples etc. Check out how to contribute to the documentation.
More Colors
All plotting commands in MTEX support now much more colors. By default all the color names of the CSS palette can be chosen, e.g., aqua, orange, gold, goldenrod, etc. To see a full list of supported colors do
colornames_view
The following function have been included to handle colors more efficiently
Improved Import Wizard
Importing EBSD data using the import wizard allows to interactively realign the data and check with respect to the pole figures.
Speed Improvements
 much faster visualization of the large EBSD maps if
gridify
is used  faster Fourier transforms on the sphere and the orientation space
 support for <https://docs.mosek.com/9.0/toolbox/installinterface.html> as faster replacement for linprog from the Optimization Toolbox
Support for hexagonal EBSD grids
The function gridify
now works also for EBSD data measured on a hexagonal grid. As a consequence denoising and GND computation for those data is also on the way.
Plastic Deformations
MTEX 5.2. introduces a bunch of new tensor classes to make modelling of plastic deformations more straight forward.
The relationships between those tensors are explained in the section plastic deformations.
Spherical Bingham Distribution
Native support for spherical Bingham distributions, including the ability to fit them to directional distributions.
Tensors
 Improved methods for the visualization of elastic properties, see Seismic demo
 several new functions like
trace
,svd
,det
, double dot product:
 the function
mean
computes now Voigt, Reuss, Hill and geometric means
Improved Figure Layout
 fix layout
 plot at fixed positions
Misc Changes
 allow to export EBSD data to
.ctf
thanks to Frank Niessen  compute the volume of a crystal shape
 label crystal faces in crystal shapes
 new function
std
for computing the standard deviation of orientations  new function
calcKearnsFactor
grainBoundary.ebsdId
is now the id and not the index of the EBSD data allow to index ebsd data and grains by id using
{}
brackets
 new options to scatter
MTEX 5.1.0 04/2018
Dislocation systems
Starting with version 5.1 MTEX introduces a class representing dislocation systems. Dislocation systems may be lists of edge or screw dislocations and are either defined by its burgers and line vectors
by a family of slipsystems
or as the family of predefined dominant dislocation systems by
More information how to calculate with dislocation systems can be found here.
Geometrically neccesary dislocations
The newly introduced dislocation systems play an important role when computing geometrically neccesary dislocations from EBSD data. The workflow is illustrate the script GND and consists of the following steps:
 define the dominant dislocation systems
 transform the dislocation systems into specimen coordinates for each pixel of the EBSD map
 compute the curvature tensor for each pixel in the EBSD map
 fit the dislocation systems to the curvature tensors.
 compute the total energy in each pixel
Tensor arithmetics
dyad
, trace
, det
, mean
, diag
, eye
, sym
Birefringence
MTEX 5.1 includes some basic methods to analyze and simulate optically isotropic materials. This includes the computation of the optical axis, birefringence and spectral transmission. The new features are demonstrated in BirefringenceDemo.
Color Keys
In MTEX 5.1 the color keys used for coloring EBSD have been a bit reorganised.
 seperate classes for directional color keys. So far these classes are
HSVDirectionKey
,HKLDirectionKey
,TSLDirectionKey
. This has become neccesary as some orientation color keys depend directional color keys with different symmetry.
 new color key
axisAngleColorKey
that implements the coloring described in K. Thomsen, K. Mehnert, P. W. Trimby and A. Gholinia: Quaternionbased disorientation coloring of orientation maps, Ultramicroscopy, 2017. In central idea is to colorise the misorientation axis with respect to the specimen reference system.
 The existing color keys have been renamed for better consistency. The new names are
BungeColorKey
,ipfHSVKey
,ipfHKLKey
,ipfTSLKey
,ipfSpotKey
,spotColorKey
,PatalaColorKey
Spherical functions
 new function
discreteSample
to compute random samples from spherical density functions  new option to
symmetrise
to symmetrise a spherical function with respect to an axis
Misc
 new fuction
fitEllipse
to assign ellipses to grains  the functions
symmetrise(tensor)
andsymmetrise(S2F)
do support symmetrisation with respect to a certain axis.  the function
export(ori)
allows to export arbitrary additional properties together with the Euler angles, e.g. the half axes and orientation of the grain ellipses  the function
loadOrientation_generic
allows to import arbitrary additional properties together with the orientations, e.g., weights  new option
logarithmic
 new function
grad
to compute the gradient of and ODF at a certain orientation  explicitely set the number of rows and columns in a MTEXFigure plot with
 EBSD hdf5 interface works now for Bruker data as well
MTEX 5.0.0 03/2018
Replace all executables by two mex files
In MTEX many functionalities are based on the non equispaced fast Fourier transform (NFFT). Until now this dependency was kept under the hood, or more precisely, hidden in external executable files which often caused troubles on MAC systems. Starting with MTEX 5.0. all the executables have been replaced by two mex files provided by the NFFT package. This change (hopefully) comes with the following advantages
 better compatibility with MAC systems, no SIP disabled required
 increased performance, e.g., due to multi core support
 better maintainability, as all MTEX code is now Matlab code
 the pole figure to ODF inversion algorithm is now entirely implemented in Matlab making it simple to tweak it or add more sophisticated inversion algorithms
Spherical functions
Many functions in MTEX compute directional dependent properties, e.g. pole figures, inverse pole figures, wave velocities, density distribution of misorientation axis or boundary normals. Until now those functions took as an input an of vector of directions and gave as an output a corresponding vector of function values, e.g. the command
returns for a list of specimen directions r
the corresponding list of pole figure intensities pfi
for the ODF odf
. Starting with MTEX 5.0 it is possible to ommit the list of specimen directions r
or replace it by an empty list []
. In this case the command
returns a spherical function pdf
also called pole density function. One can evaluate this spherical function using the command eval at the list of specimen directions r
to obtain the pole figure intensities
However, there are many more operations that can be performed on spherical functions:
For a complete list of functions read here.
Symmetry aware spherical functions
Since most of the directional dependent properties obey additional symmetry properties the class S2FunHarmonic has been extended to respect symmetry in the class S2FunHarmonicSym.
Multivariate spherical functions, vector fields and spherical axis fields
In some cases it is useful that a spherical function gives not only one value for a certain direction but several values. This is equivalent to have concatenate several univariate spherical function to one multivariate function. This can be accomplished by
which gives a spherical function with 3 values per direction. More information how to work multivariate functions can be found here.
If we interpret the 3 values of S2Fmulti
as \(x\), \(y\), and, \(z\) coordinate of a 3 dimensional vector, the function S2Fmulti
can essentially be seen as a spherical vector field associating to each direction a three dimensional vector. The most important example of such a vector field is the gradient of a spherical function:
The resulting variable g
is of type S2VectorField. A complete list of functions available for vector fields can be found here.
Another example for vector fields are polarisation directions pp
, ps1
, ps2
as computed by
The main difference is, that polarisation directions are antipodal, i.e. one can not distinguish between the polarisation direction d
and d
. In MTEX we call vector fields with antipodal values are represented by variables of type AxisField.
Scalar tensor properties are returned as spherical functions
Any scalar or vectorial property of a tensor is not returned as a spherical function or spherical vector field. Examples are the velocity properties mentioned above, Youngs modulus, shear modulus, Poisson ration etc. In particular, plotting those directional dependend quantities is as simple as
This makes the old syntax
obsolete. It is not supported anymore.
Crystal shapes
MTEX 5.0 introduces a new class crystalShape. This class allows to plot 3dimensional representations of crystals on top of EBSD maps, pole figures and ODF sections. The syntax is as follows
ODF component analysis
MTEX 5.0 allows for decomposing ODF into components using the command calcComponents. In its simplest form
returns a list of modal orientaions mods
and a list of weights which sum up to one. A more advanced call is
which returns in centerId also for each orientation from oriList
to which component it belongs.
Clustering of orientations
The ODF component analysis is used as the new default algorithm in calcCluster for orientations. The idea is to compute an ODF out of the orientations and call calcComponents with
Then center
are the clusters center and centerId
gives for each orientation to which cluster it belongs. Substantional in this method is the choise of the kernel halfwidth used for ODF computation. This can be adjusted by
New tensor classes
With MTEX 5.0 we start introducing specific tensor classes. So far we included the following classes
more tensors are supposed to be included in the future. The central advantage is that tensor specific behaviour and functions can now better be implemented and documented, e.g., that the inverse of the compliance tensor is the stiffness tensor and vice versa. For user the important change is that e.g. the stiffness tenssor is now defined by
instead of the depreciated syntax
Improved spherical plotting
In MTEX 4.X it was not possible to display the upper and lower hemisphere in pole figure plots, inverse pole figure plots or ODF section plots. This was a server restriction as for certain symmetries both hemispheres do not have to coincide. In MTEX 5.0 this restriction has been overcome. MTEX automatically detects whether the upper and lower hemisphere are symmetrically equivalent and decides whether both hemispheres needs to be plotted. As in the previous version of MTEX this can be controlled by the options upper
, lower
and complete
.
As a consequence the behaviour of MTEX figures have changed slightly. By default MTEX now always plots into the last axis. In order to annotate orintations or directions to all axes in a figure use the new option add2all
.
plotIPDF(SantaFe,[xvector,yvector+zvector]) [~,ori] = max(SantaFe) plot(ori,'add2all')
We also introduced two new functions plotSection and quiverSection to visualize spherical functions restricted to a plane. As an exaple one can now plot the slowness surfaceses of wave velocities in the plane perpendicular to Y with
see here for more information.
Other new functions
 odf.grad computes the gradient of an ODF at some orientation
 grain2d.hist can now plot histogram of arbitrary properties

fibreVolume
works also for specimen symmetry  allow to change the length of the scaleBar in EBSD plots
MTEX 4.5.2 11/2017
This is mainly a bug fix release
 some more functions get tab completetion for input arguments
 the option 'MarkerSize' can also be a vector to allow for varying Markersize
 new option 'noSymmetry' for plotPDF and plotSection
orientation relation ships
 new functions for computing variants and parents for a orientation relation ship *
 new predefined orientation relation ship
MTEX 4.5.1 08/2017
This is mainly a bug fix release
 some functions get tab completetion for input arguments
 allow different colormaps in one figure
 updated interfaces
 added Levi Civita permutation tensor
 improved round2Miller
 grains.boundary('phase2','phase1') rearranges the misorientation to be from phase2 to phase 1
MTEX 4.5 03/2017
3d orientation plots
MTEX 4.5 supports plotting of orientations, fibres, and ODFs in 3d in various projections like
 Bunge Euler angles
 Rodrigues Frank space
 axis angles space
Misorientations
 MTEX introduces round2Miller which determines to an arbitrary misorientation
mori
two pairs of lower order Miller indeces such that which are aligned bymori
 MTEX includes now some of the important misorientation relationsships like
Grain Reconstruction
New option to handle non convex other shapes of EBSD data sets
 Grain boundary indexing* The commands gB('phase1','phase2').misorientation returns now always a misorientation from phase1 to phase2
Tensors
EBSD
Rotating, flipping of EBSD data is now done with respect to the center of the map. Previously all these opertions where done relatively to the point (0,0). Use
to get back the behavior of previous versions.
Colorbar
MTEXColorbar
allows now to have a title next to it. Use
Bug Fix This release contains several important bug fixes compare to MTEX 4.4.
MTEX 4.4 01/2017
Slip Systems
MTEX 4.4 introduces support for slip systems. Slip systems are defined by a plane normal and a slip direction
Slip systems are instrumental for computating the following properties
Fibres
MTEX 4.4 adds support for fibres in orientation space. As an example the alpha fibre in cubic materials can be defined in the following ways
 as a predefined fibre
 by a pair of directions
 by two orientations
 by a list of orientations
All commands that took a pair of directions to specify a fibre, e.g., fibreODF, fibreVolume, plotFibre have been rewritten to accept a fibre as a single input argument. I.e. a fibre ODF is now defined by
Up to now the following functions are implemented for fibres
 plot to Rodrigues space, Euler space, pole figures, inverse pole figures
oR = fundamentalRegion(cs,cs) f = fibre(oR.V(1),oR.V(2)) plot(oR) hold on plot(fibre,'color','r','linewidth',2) hold off
 compute the angle between orientation and fibre
Ignore Symmetry
Many functions support now the flag noSymmetry
. Among them are angle
, axis
, dot
, cunion
.
Clustering of orientations
The new command calcCluster allows to cluster a given set of orientations into a given number of clusters.
MTEX 4.3.2 07/2016
Alignment of Miller plots
You can now specify the alignment of the crystal aaxis or baxis in Miller plots by
This might also be specify in mtex_settings.m mtex_settings.
MTEX 4.3  03/2016
Alignment of Miller plots
Starting with MTEX 4.3 plots with respect to the crystal coordinate system, i.e., inverse pole figure plots, misorientation axis plot, ipf keys, are always aligned such that the baxis points towards east. This follows the convention given in the International Table of Crystallography. The alignment can be adjusted using the option xAxisAlignment
Plotting vector fields at grain centers or grain boundaries
There are three new commands
that allow visualizing directions for EBSD data, grains and at grain boundaries. The input argument dir
should be a list of vector3d
and may represent e.g. slip directions, polarization direction, etc.
EBSD data in raster format
Until MTEX 4.2 EBSD data have been always considered as a onedimensional list of data, i.e., the often present structure of a regular grid was completely ignored. Starting with MTEX 4.3 EBSD data can be converted in a regular grid by
Missing data are represented as NaN in the regular representation. Gridified EBSD data may be addressed analogously like matrixes, i.e.,
will give pixel 100 in the ydirection and 200 in the xdirection. Analogously.
will give the stripe if pixels with y coordinate between 50 and 100.
Orientation gradients and GND
Gridified EBSD data allows also to compute orientation gradients by
as well as an estimate of the geometrically necessary dislocation density (GND) using the command calcGND
Auxilary new functionality
 grain2d.calcParis  Percentile Average Relative Indented Surface
 tensor.diag
 reduce works now also for EBSD data on Hex grids
MTEX 4.2  11/2015
MTEX 4.2 introduces basic functionality for triple junction analysis in grain maps.
Triple points
Triple points are automatically computed during grain reconstruction and can be accessed by
More details on how to work with triple points can be found here.
large EBSD data sets
Analyzing large EBSD data sets may be quite annoying due to memory consumption and slow plotting. As a work around MTEX includes a new function reduce which allows reducing the data set to each nth pixel, i.e.,
contains only 25 percent of the data of the original data set. This functionality is assumed to be used for experimenting around with the data set and setting up a proper analysis script. The final analysis should, if possible, be done with the entire data set.
New option to ignore symmetry
When computing the angle between crystal directions, the misorientation angle between orientations and the misorientation axis symmetry can be ignored with the flag noSymmetry
Axis distributions in specimen coordinates
In order to plot axis distributions in specimen coordinates, you can now do
or
New option to work around Matlab opengl bug
In mtex_settings.m mtex_settings there is a new option that may help to work around the Matlab opengl bug. Switching it of may give nicer graphics.
CSL misorientations
The function CSL requires now as a mandatory argument the crystal symmetry of the phase, i.e.
Grain boundaries
Grain boundaries segments have a new option midPoint
which may be used for attaching a vector displaying the misorientation axis or some other direction.
More ODF sections
 phi1
 Phi
 gamma
 omega
Along with the old syntax, there is now a new syntax that allows for more fine control of the ODF sections.
Ordering of crystal symmetries
One can now check whether a crystal symmetry cs1
is a subgroup of crystal symmetry cs2
by
Further, the largest proper subgroup of some crystal symmetry cs
is now accessible by
cs.properSubGroup
MTEX 4.1  09/2015
MTEX 4.1 introduces new possibilities to the analysis of misorientations. For the first time, it covers all geometric aspects of misorientations between arbitrary crystal symmetries. Furthermore, MTEX 4.1 introduces filters to smooth EBSD data.
Smoothing of EBSD Data
Smoothing of EBSD data might be necessary if the orientation data are corrupted by noise which influences the estimation of orientation dependent properties like KAM or GND. The general syntax for smoothing EBSD data is
This applies the spline filter to the orientation data. Beside the spline filter, many other filters are available. A general discussion on this topic can be found here. To make use of a different than the dafault filter use the syntax
The command smooth can also be used to fill not indexed measurement points. This behavior is enabled by the option fill
Support for antipodal symmetry for misorientations
When working with boundary misorientations between the same phase one can not distinguish between a misorientation mori
and its inverse inv(mori). Starting with MTEX 4.1 this symmetry is supported for misorientations and misorientation distribution functions.
Antipodal symmetry effects the asymmetric region in orientation space as described below, as well as the distance between misorientations. Boundary misorientations between the same phase have set the flag antipodal
by default.
Asymmetric regions in orientation space
MTEX 4.1 has now full support of asymmetric regions in orientation space. For any combination of crystal symmetries they can be defined by
and visualized by
One can check, whether an orientation is within the fundamental region by
similarly as for a sphericalRegion. The fundamental region with antipodal symmetry is defined by.
For a fixed rotational angle omega
, the intersection of the fundamental region with the sphere with radius omega gives the fundamental sector for the corresponding rotational axes. The axis sector can be computed by
Axis and angle distributions
Thanks to the implementation of the asymmetric region plotAxisDistribution
and plotAngleDistribution
works in MTEX 4.1 for any combination of crystal symmetries.
The following syntax is obsolete
As replacement use the more verbose syntax
Rotational axis in specimen coordinates
It is now possible to compute the misorientation axis between two orientations in specimen coordinate system. This is done by
To do so with random misorientations from an EBSD data set do
Axis angle plots
(Mis)Orientation, ODFs, and MDFs can now be plotted in axis angles sections. Those plots respect the fundamental sector depending on the misorientation angle and for all combinations of crystal symmetries. The angle sections are scaled such that they represent the corresponding volume in orientation space. This can be switch off as described below
Replace plotODF by a plotSection
In most cases, you can replace plotODF
by aplot. Only for misorientations, the default plot is scattered
.
More default settings for EBSD maps and pole figure plots
 new MTEXpref to show/hide the micronbar in EBSD maps. The default is set in
mtex_settings.m
toon
. The following command switches them off.
 new MTEXpref to show/hide the coordinates in EBSD maps. The default is set in
mtex_settings.m
tooff
. The following command switches them on.
 new MTEXpref to display coordinates in pole figure plot. The default is set in
mtex_settings.m
to display the directionsX
andY
. The following command switches it toRD
andND
.
Other improvements since MTEX 4.0.0
During the minor revisions of MTEX also several minor improvements have been added which are summarized below
 check for inclusions in grains: the following command returns a list of true/false depending whether a grain in
grainList
is an inclusion inhostGrain
 allow syntax
 allow to show / hide the scale bar by the MTEX menu or by
 allow to place labels above/below the marker by
 new EBSD interface to ACOM Nanomegas *.ang files
 plot relative to the crystal coordinate system are now always aligned such that x points to the east and y points to north
 misorientation axis with respect to crystal and specimen reference frame
 new function
intersect
to compute intersections between grain boundary segments an a line
 option for plotting angle distributions in percent
 reintroduced min/max in pole figure like plot
 3d plots of pole figures can now be simultanously rotated
 you can now restrict an EBSD data set to a line to plot profiles
 additional syntax to define a list if Miller indices
 interface to Bruker phl files
 new properties for grainBoundary
gB
 for a crystal symmetry
cs
you can access a, b ,c and reciprocal axes by
 compute KAM with misorientation angle threshold or grain boundary threshold
MTEX 4.0.0  10/2014
MTEX 4 is a complete rewrite of the internal class system which was required to keep MTEX compatible with upcoming Matlab releases. Note that MTEX 3.5 will not work on Matlab versions later than 2014a. As a positive side effect, the syntax has been made more consistent and powerful. On the bad side MTEX 3.5. code will need some adaption to run on MTEX 4. There are two general principles to consider
Use dot indexing instead of getting and setting methods
The syntax
is obsolete. set
and get
methods are not longer supported by any MTEX class. Instead use dot indexing
Note, that this syntax can be nested, i.e., one can write
to get the rotational angle of all Forsterite orientations, or,
to get the x coordinate of the first crystallographic coordinate axis  the aaxis. As a nice bonus, you can now use TAB completion to cycle through all possible properties and methods of a class.
Use camelCaseCommands instead of under_score_commands
Formerly, MTEX used different naming conventions for functions. Starting with MTEX 4.0 all function names consisting of several words, have the first word spelled with lowercase letters and the consecutive words starting with a capital letter. Most notable changes are * plotPDF
* plotIPDF
* plotODF
* calcError
Grain boundaries are now directly accessible
MTEX 4.0 introduces a new type of variables called grainBoundary
which allows to represent arbitrary grain boundaries and to work with them as with grains. The following lines give some examples. Much more is possible.
Plotting EBSD, grain, grainBoundary data has different syntax
The syntax of the plot commands has made more consistent throughout MTEX. It is now
where obj is the object to be plotted, i.e., EBSD data, grains, grain boundaries, spherical vectors, pole figures, etc., and the data are either pure numbers or RGB values describing the color. Examples are
Colorization according to phase or phase transition is the new default when calling plot
without data argument, i.e., the following results in a phase plot
In order to colorize ebsd data according to orientations, one has first to define an orientationMapping by
Then one can use the command oM.orientation2color
to compute RGB values for the orientations
The orientation mapping can be visualized by
EBSD data are always spatially indexed
Starting with MTEX 4.0 EBSD data alway have to have x and y coordinates. EBSD data without spatial coordinates are imported simply as orientations. As a consequence, all orientation related functionalities of EBSD data have been moved to orientations
, i.e., you can not do anymore
But instead you have to explicitely state that you operate on the orientations, i.e.
This makes it more easy to apply the same functions to misorientations to grain mean orientations grains.meanOrientation
, ebsd misorientation to mean mean ebsd.mis2mean
or boundary misorientations grains.boundary.misorientation
Different syntax for reconstructing grains from EBSD data
In MTEX 3.5 the command
duplicates the ebsd data into the grain variable allowing to access the EBSD data belonging to a specific grain by
In MTEX 4.0 the command calcGrains
returns as an additional output the list of grainIds that is associated with the EBSD data. When storing these grainIds directly inside the EBSD data, i.e., by
one can access the EBSD data belonging to a specific grain by the command
MTEX 4.0 distinguishes between crystal and specimen symmetry
In MTEX 4.0 two new variable types specimenSymmetry
and crystalSymmetry
have been introduced to distinguish clearly between these two types of symmetry. Calling
is not allowed anymore! Please use instead
Pole figure indexing is now analogously to EBSD data
You can now index pole figure data by conditions in the same manner as EBSD data. E.g. the condition
is an index to all pole figure data with a polar angle smaller than 80 degree. To restrict the pole figure variable pf
to the data write
In the same manner, we can also remove all negative intensities
In order to address individuell pole figures within a array of pole figures pf
use the syntax
or
The old syntax
for accessing the first pole figure will not work anymore as it now refers to the first pole figure measurement. The direct replacement for the above command is
MTEX 4.0 supports all 32 point groups
In MTEX 4.0 it is for the first time possible to calculate with reflections and inversions. As a consequence, all 32 point groups are supported. This is particularly important when working with piezoelectric tensors and symmetries like 4mm. Moreover, MTEX distinguishes between the point groups 112, 121, 112 up to 3m1 and 31m.
Care should be taken, when using nonLaue groups for pole figure or EBSD data.
Support for threedigit notation for Miller indices of trigonal symmetries
MTEX 4.0 understands now uvw and UVTW notation for trigonal symmetries. The following two commands define the same crystallographic direction, namely the a1axis
Improved graphics
MTEX can now display colorbars next to pole figure, tensor or ODF plots and offers much more powerfull options to customize the plots with titles, legends, etc.
Functionality that has been (temporarily) removed
This can be seen as a todo list.
 3d EBSD data handling + 3d grains
 some grain functions like aspectRatio, equivalent diameter
 logarithmic scaling of plots
 3d plot of ODFs
 some of the orientation color maps
 fibreVolume in the presence of specimen symmetry
 Dirichlet kernel
 patala colorcoding for some symmetry groups
 v.x = 0
 misorientation analysis is not yet complete
 some colormaps, e.g. blue2red switched
 histogram of volume fractions of CSL boundaries
 remove id from EBSD?
 changing the phase of a grain should change phases in the boundary
 KAM and GOSS may be improved
 write import wizard for orientations, vectors, tensors.
MTEX 3.5.0  12/2013
Misorientation colorcoding
 Patala colormap for misorientations
 publication: S. Patala, J. K. Mason, and C. A. Schuh, Improved representations of misorientation information for grain boundary, science, and engineering, Prog. Mater. Sci., vol. 57, no. 8, pp. 13831425, 2012.
 implementation: Oliver Johnson
 syntax:
Fast multiscale clustering (FMC) method for grain reconstruction
 grain reconstruction algorithm for highly deformed materials without sharp grain boundaries
 publication: C. McMahon, B. Soe, A. Loeb, A. Vemulkar, M. Ferry, L. Bassman, Boundary identification in EBSD data with a generalization of fast multiscale clustering, Ultramicroscopy, 2013, 133:1625.
 implementation: Andrew Loeb
 syntax:
Misc changes
 one can now access the grain id by
 the flags
'north'
and'south'
are obsolete and have been replaced by'upper'
and'lower'
 you can specify the outer boundary for grain reconstruction in nonconvex EBSD data set by the option
'boundary'
 you can select a polygon interactively with the mouse using the command
Bug fixes
 .osc, .rw1 interfaces improved
 .ang, .ctf interfaces give a warning if called without one of the options
convertSpatial2EulerReferenceFrame
orconvertEuler2SpatialReferenceFrame
 fixed: entropy should never be imaginary
 removed function
SO3Grid/union
 improved MTEX startup
 many other bug fixes
 MTEX3.5.0 should be compatible with Matlab 2008a
MTEX 3.4.2  06/2013
bugfix release
 fixed some inverse pole figure color codings
 option south is working again in pole figure plots
 geometric mean in tensor averagin, thanks to Julian Mecklenburgh
 improved support of osc EBSD format
 tensor symmetry check error can be turned of and has a more detailed error message
 improved syntax for Miller Miller(x,y,z,'xyz',CS) Miller('polar',theta,rho,CS)
 ensure same marker size in EBSD pole figure plots
 allow plotting Schmid factor for grains and EBSD data
 allow to annotate Miller to AxisDistribution plots
 improved figure export
 allow for negative phase indices in EBSD data
 bug fix: https://code.google.com/p/mtex/issues/detail?id=115
 improved ODF fibre plot
MTEX 3.4.1  04/2013
bugfix release
 much improved graphics export to png and jpg files
 improved import wizard
 Miller(2,0,0) is now different from Miller(1,0,0)
 new EBSD interfaces h5, Bruker, Dream3d
 various speedups
 fix: startup error http://code.google.com/p/mtex/issues/detail?id=99
 fix: Rigaku csv interface
MTEX 3.4.0  03/2013
New plotting engine
MTEX 3.4 features a completely rewritten plotting engine. New features include
 The alignment of the axes in the plot is now described by the options
xAxisDirection
which can benorth
,west
,south
, oreast
, andzAxisDirection
which can beoutOfPlane
orintoPlane
. Accordingly, there are now the commands
 The alignment of the axes can be changed interactively using the new MTEX menu which is located in the menubar of each figure.
 northern and southern hemisphere are now separate axes that can be stacked arbitrarily and are marked as north and south.
 Arbitrary plots can be combined in one figure. The syntax is
 One can now arbitrarily switch between scatter, contour and smooth plots for any data. E.g. instead of a scatter plot the following command generates now a filled contour plot
 obsolete options:
fliplr
,flipud
,gray
,
Colormap handling
 User defined colormap can now be stored in the folder
colormaps
, e.g. asred2blueColorMap.m
and can set interactively from the MTEX menu or by the command
ODF
 The default ODF plot is now phi2 sections with plain projection and (0,0) being at the top left corner. This can be changed interactively in the new MTEX menu.
 The computation of more than one maximum is back. Use the command
EBSD data
 MTEX is now aware about the inconsistent coordinate system used in CTF and HKL EBSD files for Euler angles and spatial coordinates. The user can now convert either the spatial coordinates or the Euler angles such that they become consistent. This can be easily done by the import wizard or via the commands
 It is now possible to store a color within the variable describing a certain mineral. This makes phase plots of EBSD data and grains more consistent and customizable.
 A better rule of thumb for the kernel width when computing an ODF from individual orientations via kernel density estimation.
 inpolygon can be called as
Tensors
 new command to compute the Schmid tensor
 new command to compute Schmid factor and active slip system
 it is now possible to define a tensor only by its relevant entries. Missing entries are filled such that the symmetry properties are satisfied.
 faster, more stable tensor implementation
 new syntax in tensor indexing to be compatible with other MTEX classes. For a 4 rank thensor
C
, we have now
 For a list of tensors
C
we have
Import / Export
 command to export orientations
 command to import vector3d
 new interface for DRex
 new interface for Rigaku
 new interface for Saclay
General
 improved instalation / uninstalation
 new setting system
has been replaced by
MTEX 3.3.2  01/2013
bugfix release
 fix: better startup when using different MTEX versions
 fix: backport of the tensor fixes from MTEX 3.4
 fix: show normal colorbar in ebsd plot if scalar property is plotted
 fix: http://code.google.com/p/mtex/issues/detail?id=82
 fix: http://code.google.com/p/mtex/issues/detail?id=76
 fix: http://code.google.com/p/mtex/issues/detail?id=48
 fix: http://code.google.com/p/mtex/issues/detail?id=71
 fix: http://code.google.com/p/mtex/issues/detail?id=70
 fix: http://code.google.com/p/mtex/issues/detail?id=69
 fix: http://code.google.com/p/mtex/issues/detail?id=65
 fix: http://code.google.com/p/mtex/issues/detail?id=68
MTEX 3.3.1  07/2012
bugfix release
 fix: single/double convention get sometimes wrong with tensors
 fix: tensor checks did not respect rounding errors
 fix: ingorePhase default is now none
 fix: calcAngleDistribution works with ODF option
 fix: respect rounding errors when importing pole figures and ODFs
MTEX 3.3.0  06/2012
Grains: change of internal representation
Reimplementation of the whole grain part:
 the grain selector tool for spatial grain plots was removed, nevertheless, grains still can be selected spatially.
 scripts using the old grain engine may not work properly, for more details of the functionalities and functioning of the @GrainSet please see the documentation.
 new functionalities: merge grains with certain boundary.
EBSD
The behavior of the 'ignorePhase'
changed. Now it is called in general 'not indexed'
and the not indexed data is imported generally. If the crystal symmetry of an EBSD phase is set to a string value, it will be treated as not indexed. e.g. mark the first phase as 'not indexed'
By default, calcGrains
does also use the 'not Indexed'
phase.
 create customized orientation colormaps
Other
 the comand
set_mtex_option
is obsolete. Use the matlab commandsetMTEXpref(...)
instead. Additionally, one can now see all options by the commandgetpref('mtex')
MTEX 3.2.3  03/2012
bugfix release
 allow zooming for multiplot objects again; change the zorder of axes
 symmetries allows now options a   x additional to x   a
 fix http://code.google.com/p/mtex/issues/detail?id=35
 fix http://code.google.com/p/mtex/issues/detail?id=38
 fix http://code.google.com/p/mtex/issues/detail?id=28
 fix export odf
MTEX 3.2.1  11/2011
New Features
 Import and Export to VPSC
 export EBSD data with all properties
 improved ODF calculation from pole figures by using quadrature weights for the pole figure grid
 implemented spherical Voronoi decomposition and computation of spherical quadrature weights
 plot odfspace in omegasections, the i.e. generalization of sigmasections
Bug Fixes
 S2Grid behaves more like vector3d
 vector3d/eq takes antipodal symmetry into account
 Euler angle conversion was sometimes wrong
 tensors multiplication was sometimes wrong
 rank 3 tensors get options 'doubleConvention' and 'singleConvention' for the conversion into the Voigt matrix representation
 documentation fixes
 Miller('[100]') gives not the correct result
 import wizard now generates correct CS definition
 import filter for uxd files should now work more reliable
MTEX 3.2  05/2011
3d EBSD Analysis
This release for the first time supports 3d EBSD data. In particular, MTEX is now able to
 import 3d EBSD data from stacked files
 visualize 3d EBSD data by plotting interactive slices through the specimen
 3d grain detection
 the topology of 3d grains, i.e. boundaries, neighboring grains, etc.
Misorientation Analysis
 computation of the uncorrelated misorientation distribution (MDF) for one or two ODFs
 computation of the theoretical angle distribution of an ODF or MDF
 computation of the misorientation to mean for EBSD data
New Syntax for EBSD and grain variables
EBSD and grain variables can now be indexed by phase, region or grain / ebsd variables. Let us assume we have a two phase ebsd variable containing 'Fe' and 'Mg' then can restrict our dataset to the Fe  phase only by writing
ebsd('Fe')
The same works with grains and also with more than one phase. Please have a look into the documentation for information how to index ebsd and grain variables.
Accordingly the following syntax is now depreciated.
calcODF(ebsd,'phase',2)
It should be replaced by
calcODF(ebsd('Fe'))
Other Enhangments
 better import and export of pole figures, odfs and EBSD data
 automatic centering of a specimen with respect to its specimen symmetry
 download and import tensors from http://www.materialproperties.org/
 new interfaces for Rigaku, Siemens, Bruker and many other Xray devices and formats
 support for rank three tensors, i.e, for piezo electricity tensors
 improved documentation
 many bug fixes
MTEX 3.1  03/2011
Tensor Arithmetics This release introduces tensor analysis into MTEX, this includes
 import of tensors via the import wizard
 basic tensor operations: multiplication, rotation, inversion
 advanced visualization
 computation of averaged tensors from EBSD data and ODFs
 computation of standard elasticity tensors like: Youngs modulus, linear compressibility, Christoffel tensor, elastic wave velocities
Other Enhancements
 support for different crystal reference frame conventions
 automatic conversion between different reference frames
 definition of crystal directions in direct and reciprocal space
 more predefines orientations: Cube, CubeND22, CubeND45, CubeRD, Goss, Copper, SR, Brass, PLage, QLage, ...
 improved EBSD and grain plots
 new and improved interfaces
 many bug fixes
MTEX 3.0  10/2010
Crystal Geometry
This release contains a completely redesigned crystal geometry engine which is thought to be much more intuitive and flexible. In particular, it introduces two new classes rotation and orientation which make it much easier to work with crystal orientations. Resulting features are
 no more need for quaternions
 support for Bunge, Roe, Matthies, Kocks, and Canova Euler angle convention
 a simple definition of fibres
 simply check whether two orientations are symmetrically equivalent
Other Enhancements
 automatic kernel selection in ODF estimation from EBSD data
 support for Bingham model ODFs
 estimation of Bingham parameters from EBSD data
 faster and more accurate EBSD simulation
 faster grain reconstruction
 improved documentation
 improved output
 MTEX is now compatible with NFFT 3.1.3
MTEX 2.0  10/2009
Grain Analysis for EBSD Data
MTEX is now able to partition spatial EBSD data into grains. This allows for the computation of various grain characteristics, as well as the computation and visualization of the grain boundaries and neighborhood relationships. Main features are:
 Grains statistics (area, diameter, mean orientation, ...)
 Missorientation analysis
 Interactive selection of grains by various criteria
 ODFcalculations for any subset of grains
 A large palette of plotting possibilities.
Visualization Improvements
 ODF fibre plot
 support for different xaxis alignment  plotx2north, plotx2east
 plot EBSD data with respect to arbitrary properties
 plot zero regions of ODFs and pole figures white
 pole figure contour plots
 color triangle for spatial EBSD plots
General Improvements
 ODF import / export
 rotate EBSD data
 Pole figure normalization
 improved interfaces and import wizard
 speed improvement of several sidefunctions as well as corefunctions of @quaternions and spherical grids.
Incompatible Changes to Previous Versions
 The flags reduced and axial have been replaced by the flag antipodal
MTEX 1.2  05/2009
Improved EBSD import
 importweighted EBSD (e.g. from odf modeling)
 new HKL and Chanel interfaces (.ang and .ctf files)
 import of multiple phases
 import of arbitrary properties as MAD, detection error, etc.
Improved EBSD plotting
 plot EBSD data in axis angle and Rodrigues space
 annotations in these spaces
 plot arbitrary properties as MAD, detection error, etc.
 better orientation colorcoding
 superpose odf, pole figure and EBSD plots
 better interpolation
General Improvements
 support for different crystal geometry setups
 faster and more accurate volume computation
 improved function modalorientation
 improved documentation
Incompatible Changes to Previous Versions
 The flag reduced has been replaced by the flag axial
MTEX 1.1  12/2008
Improved Import Wizzard
 Load CIF files to specify crystal geometry
 Import EBSD data with coordinates
 More options to specify the alignment of the specimen coordinate system
 support for popla *.epf files, *.plf files, and *.nja files
Improved Pole Figure Analysis
 Background correction and defocusing
 Outlier detection and elimination
Improved EBSD Data Support
 Spatial plot of EBSD data
 Modify EBSD data in the same way as pole figures
Improved Plotting
 GUI to modify plots more easily
 Annotate orientations into pole figure plots
 Annotate orientations into ODF sections
 Coordinate systems for ODF and pole figure plots
 More flexible and consistent option system
 Default plotting options like FontSize, Margin, ...
 Speed improvements
Bug Fixes
 ModalOrientation works now much better
 Plot (0,0) coordinate in ODF plot at upper left
 Fixed a bug in ODF estimation from EBSD data
MTEX 1.0  06/2008
New Installer Including Binaries for Windows, Linux, and Max OSX
 MTEX ships now with an automated installer and binaries for Windows, Linux, and Mac OSX. This makes it in unnecessary to install any additional library and to compile the toolbox. (Thanks to F. Bachmann, C. Randau, and F. Wobbe)
New ODF Class
 The new function
FourierODF
provides an easy way to define ODFs via their Fourier coefficients. In particular, MTEX allows now to calculate with those ODFs in the same manner as with any other ODFs.
New Interfaces
 New PoleFigure interface for xrdml data (F. Bachmann)
Improved Plotting
 Plot EBSD data and continuous ODFs into one plot
 Miller indices and specimen directions can now be plotted directly into pole figures or inverse pole figures.
 New plotting option north, south for spherical plots
 Improved colorbar handling
 Spherical grids
 More spherical projections
Incompatible Changes With Previous Releases
 The flag hemisphere in S2Grid has been replaced by north, south, and antipodal making it more consistent with the plotting routine.
Improved Documentation
MTEX comes now with over 500 help pages explaining the mathematical concepts, the philosophy behind MTEX and the syntax and usage of all 300 functions available in MTEX. Furthermore, you find numerous examples and tutorials on ODF estimation, data import, calculation of texture characteristics, ODF and pole figure plotting, etc.
Bug Fixes
 Fixed zero range method
 Fixed automatic ghost correction
 Fixed some loadPoleFigure issues
 Many other bug fixes.
MTEX 0.4  04/2008
Speed Improvements
 ODF reconstruction and PDF calculation are about 10 times faster now (thanks to the new NFFT 4.0 library)
 ODF plotting and the calculation of volume fractions, the texture index, the entropy and Fourier coefficients is about 100 times faster
New Support of EBSD Data Analysis
 Import EBSD data from arbitrary data formats.
 New class EBSD to store and manipulate with EBSD data.
 Plot pole figures and inverse pole figures from EBSD data.
 Recover ODFs from EBSD data via kernel density estimation.
 Estimate Fourier coefficients from EBSD data.
 Simulate EBSD data from ODFs.
 Export EBSD data.
New Functions
fibreVolume
calculates the volume fraction within a fibre.plotSpektra
plots the Fourier coefficients of an ODF.setcolorrange
and the plotting option colorrange allow for consistent color coding for arbitrary plots. A colorbar can be added to any plots.
mat2quat
andquat2mat
convert rotation matrices to quaternions and vice versa.
Incompatible Changes With Previous Releases
 New, more flexible syntax for the generation of S2Grids
 Slightly changed the syntax of
unimodalODF
andfibreODF
.  Default plotting options are set to {}, i.e. 'antipodal' has to add manually if desired
 Crystal symmetry triclinic is not called tricline anymore.
MTEX 0.3  10/2007
 new function
fourier
to calculate the Fourier coefficents of an arbitrary ODF  new option
ghost correction
in function calcODF  new option
zero range
in function calcODF  new function loadEBSD to import EBSD data
 simplified syntax for the import of diffraction data
 new import wizard for pole figure data
 support of triclinic crystal symmetry with arbitrary angles between the axes
 default plotting options may now be specified in mtex_settings.m
 new plot option 3d for a threedimensional spherical plot of pole figures
 contour levels may be specified explicitly in all plot functions plotodf, plotpdf and plotipdf
 new plot option logarithmic
 many bugfixes
MTEX 0.2  07/2007
 new functions texture index, entropy, volume
 creatly improved help
 improved installation
 new options for plotting routines for specific ODF sections
 many bugfixes
MTEX 0.1  03/2007
 initial release