@let@token MTEX an open source texture analysis toolbox

Transcription

MTEX
an open source texture analysis toolbox
Ralf Hielscher
TU Chemnitz, Germany
Belo Horizonte, 2015
What is MTEX?
1
a MATLAB toolbox for quantitative texture analysis
2
a scripting language
3
a tool for generating publication ready plots
4
large, well documented and exhaustively tested
5
free to use, to extend, to modify
R. Hielscher (Germany)
MTEX - a texture analysis toolbox
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What is MTEX?
1
2
3
4
5
why scripts?
reproducible results
templates for common tasks
extensively customizable
batch processing of many data sets
repeated calculations with different parameters
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What is MTEX?
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2
3
4
5
e b s d = loadEBSD ( ’ m y l o n i t e . t x t ’ ) % l o a d d a t a
g r a i n s = calcGrains ( ebsd )
% reconstruct grains
[m, i d ] = max( g r a i n s . area )
% find largest grain
plot ( grains ( id ))
% plot largest grain
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What is MTEX?
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2
3
4
5
e b s d = loadEBSD ( ’ m y l o n i t e . t x t ’ )
ebsd = EBSD ( show methods , plot )
Phase
1
2
3
4
Orientations
3444 (28)
3893 (31)
368 (2.9)
4781 (38)
Mineral
Andesina
Quartz
Biotite
Orthoclase
Color
light blue
light green
light red
cyan
Symmetry
-1
-3 m1
12/ m1
12/ m1
Properties : x , y , bc , mad
Scan unit : um
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What is MTEX?
1
2
3
4
5
grains = grain2d ( show methods , plot )
Phase
1
2
3
4
Grains
1951
776
307
1641
Pixels
3444
3893
368
4781
Mineral
Andesina
Quartz
Biotite
Orthoclase
Symmetry
-1
-3 m1
12/ m1
12/ m1
Properties : GOS , meanRotation
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What is MTEX?
1
2
3
4
5
m =
1.4985 e +06
id =
3369
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What is MTEX?
1
2
3
4
5
plot ( grains ( id ))
Quartz
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What is MTEX?
1
2
3
4
5
Max:
880
{022̄1} Max:
7.89
Min:
0
Min:
0.01
{022̄1}
{022̄1}
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What is MTEX?
1
2
3
4
5
9 years of development
1000 functions
40 000 lines of code, 33 percent comment lines
14 reference paper, about 500 citations
1500 downloads per version
1000 help pages
compatible toolboxes: MSAT, PolyLx, CVA
(Crystallographic Vorticity Axis analysis), Stabix, ebsdam
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What is MTEX?
1
2
3
4
5
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Feature Overview
crystal geometry
odf modeling
pole figure measurements
individual orientation measurements
elastic and plastic deformations
c s = loadCIF ( ’ M a g n e t i t e ’ )
O1 = o r i e n t a t i o n ( ’ E u l e r ’ , 9 0 ∗ degree , 4 5 ∗ degree , 0 , c s )
ori1 = orientation ( show methods , plot )
size : 1 x 1
crystal symmetry : Magnetite (m -3 m )
specimen symmetry : 1
Bunge Euler angles in degree
phi1 Phi phi2 Inv .
90
45
0
0
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Feature Overview
crystal geometry
odf modeling
c s = loadCIF ( ’ M a g n e t i t e ’ )
O1 = o r i e n t a t i o n ( ’ E u l e r ’ , 9 0 ∗ degree , 4 5 ∗ degree , 0 , c s )
r = O1 ∗ M i l l e r ( 1 , 1 , 1 , c s )
r = vector3d ( show methods , plot )
size : 1 x 1
x
y
z
0 0.119107 0.168443
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Feature Overview
crystal geometry
odf modeling
c s = loadCIF ( ’ H e m a t i t e ’ )
O2 = o r i e n t a t i o n ( ’ E u l e r ’ , 1 8 0 ∗ degree , 3 5 ∗ degree , 0 , c s )
MO = i n v (O1) ∗ O2
mori = mi sorienta tion ( show methods , plot )
size : 1 x 1
crystal symmetry : Hematite ( -3 m1 , X || a * , Y || b , Z || c )
phi1 Phi phi2 Inv .
180
35
0
0
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Feature Overview
crystal geometry
odf modeling
o d f = 0 . 8 ∗ unimodalODF (O1) + 0 . 2 ∗ uniformODF ( c s )
odf = ODF ( show methods , plot )
sample symmetry : triclinic
Radially symmetric portion :
kernel : de la Vallee Poussin , hw = 10
center : (90 , 45 , 0)
weight : 0.8
Uniform portion :
weight : 0.2
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Feature Overview
crystal geometry
odf modeling
pf = loadPoleFigure ( ’ Queens alu . p l f ’ )
pf = PoleFigure ( show methods , plot )
file name : Queens_alu . plf
crystal symmetry : cubic (m -3 m )
specimen symmetry : orthorhombic
h
h
h
h
=
=
=
=
{111} ,
{200} ,
{220} ,
{311} ,
r
r
r
r
=
=
=
=
90 x17
90 x17
90 x17
90 x17
points
points
points
points
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Feature Overview
crystal geometry
odf modeling
pf = loadPoleFigure ( ’ Queens alu . p l f ’ )
plot ( pf )
(111)
1
2
3
(200)
4
1
2
(220)
3
1
2
(311)
3
4
0.5
1
1.5
2
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Feature Overview
crystal geometry
odf modeling
o d f = calcODF ( p f )
odf = ODF ( show methods , plot )
file name : Queens_alu . plf
crystal symmetry : cubic
sample symmetry : orthorhombic
Uniform portion :
weight : 0.14633
kernel : de la Vallee Poussin , hw = 4
center : 2444 orientations , resolution : 3.9
weight : 0.85367
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Feature Overview
crystal geometry
odf modeling
o d f = calcODF ( p f )
plotPDF ( odf , p f . h )
(111)
1
2
3
(200)
4
5
1
2
(220)
3
1
2
(311)
3
4
0.5
1
1.5
2
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Feature Overview
crystal geometry
odf modeling
file name : mylonite . txt
Properties : x , y
Phase Orientations
Mineral Symmetry Crystal reference frame
1
3444
Andesina
-1
X || a * , Z || c
2
3893
Quartz
-3 m
X || a * , Y || b , Z || c *
3
368
Biotite
2/ m
X || a * , Y || b * , Z || c
4
4781 Orthoclase
2/ m
X || a * , Y || b * , Z || c
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Feature Overview
crystal geometry
odf modeling
plot ( ebsd )
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Feature Overview
crystal geometry
odf modeling
Phase Grains
Mineral Symmetry Cryst . reference frame
1
1951
Andesina
-1
X || a * , Z || c
2
776
Quartz
-3 m
X || a * , Y || b , Z || c *
3
305
Biotite
2/ m
X || a * , Y || b * , Z || c
4
1641 Orthoclase
2/ m
X || a * , Y || b * , Z || c
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Feature Overview
crystal geometry
odf modeling
plot ( grains )
3 / 13
Feature Overview
crystal geometry
odf modeling
c s = symmetry ( ’ O l i v i n ’ ) ;
C = loadTensor ( ’ O l i v i n e 1 9 9 7 P C . GPa ’ , cs , . . .
’ p r o p e r t y n a m e ’ , ’ e l a s t i c s t i f f n e s s ’ , ’ u n i t ’ , ’ Pa ’ )
C = elastic stiffness tensor
unit
: Pa
mineral
: Olivin ( mmm )
320.5 68.2 71.6
68.2 196.5 76.8
71.6 76.8 233.5
0
0
0
0
0
0
0
0
0
0
0
0
64
0
0
0
0
0
0
77
0
0
0
0
0
0
78.7
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Feature Overview
crystal geometry
odf modeling
SeismicsMultiplot
Vp (km/s)
S-wave anisotropy (%)
Vs1 polarization
[100]
9.5
15
15
10
10
5
5
9
[010]
[001]
8.5
8
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Design Principle - Everything is a List
[ g r a i n s , e b s d . g r a i n I d , e b s d . mis2mean]= c a l c G r a i n s ( e b s d )
Phase
1
2
3
4
Grains
1951
776
307
1641
Pixels
3444
3893
368
4781
Mineral
Andesina
Quartz
Biotite
Orthoclase
Symmetry
-1
-3 m1
12/ m1
12/ m1
Cryst . ref . frame
X || a * , Z || c
X || a * , Y || b , Z || c
X || a , Y || b * , Z || c
X || a * , Y || b , Z || c
4 / 13
g r a i n s (3369)
ans = grain2d ( show methods , plot )
Phase
2
Grains
1
Pixels
700
Id
3369
Phase
2
Pixels
700
Mineral
Quartz
Symmetry
-3 m1
GOS
0.0623375
phi1
1
Cryst . ref . frame
X || a * , Y || b , Z || c
Phi
119
phi2
54
4 / 13
g r a i n s (3369)
for i = 1: length ( g r a i n s )
m2m = e b s d ( g r a i n s ( i ) ) . mis2mean ;
GOS( i ) = s q r t (mean( m o r i . a ng le . ˆ 2 ) ) ;
end
p l o t ( g r a i n s , GOS . / degree )
4 / 13
g r a i n s (3369)
for i = 1: length ( g r a i n s )
m2m = e b s d ( g r a i n s ( i ) ) . mis2mean ;
GOS( i ) = s q r t (mean( m o r i . a ng le . ˆ 2 ) ) ;
end
p l o t ( g r a i n s , GOS . / degree )
g r a i n s (GOS > 5∗ degree )
ans = grain2d ( show methods , plot )
Phase
1
2
4
Grains
13
15
8
Pixels
63
121
76
Mineral
Andesina
Quartz
Orthoclase
Symmetry
-1
-3 m1
12/ m1
Cryst . ref . frame
X || a * , Z || c
X || a * , Y || b , Z || c
X || a * , Y || b , Z || c
4 / 13
Lists of Boundary Segments
e b s d = loadEBSD ( ’ CSL . t x t ’ )
Phase
1
Orientations
154107 (100)
Mineral
iron
Symmetry
m -3 m
Properties : ci , error , iq , x , y
Scan unit : um
5 / 13
[ g r a i n s , ebsd . grainId ] = calcGrains ( ebsd )
Phase
-1
Grains
465
Pixels
75651
Mineral
iron
Symmetry
m -3 m
5 / 13
g r a i n s ( 9 0 ) . boundary
ans = grainBoundary ( show methods , plot )
Segments
11
111
mineral 1
not indexed
iron
mineral 2
iron
iron
5 / 13
gB = g r a i n s . boundary ( ’ i n d e x e d ’ ) ;
gB3 = gB ( angle ( gB . m i s o r i e n t a t i o n , CSL ( 3 ) ) < 3∗ degree )
gB3 = grainBoundary ( show methods , plot )
Segments
4152
mineral 1
iron
mineral 2
iron
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m e r g e d G r a i n s = merge ( g r a i n s , gB3 ) ;
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Frequency (%)
p l o t A n g l e D i s t r i b u t i o n ( gB . m i s o r i e n t a t i o n )
60
iron-iron
random
40
20
0
0
10
20
30
40
50
60
Misorientation angle (degrees)
5 / 13
p l o t A x i s D i s t r i b u t i o n ( gB . m i s o r i e n t a t i o n , ’ c o n t o u r f ’ )
iron - iron
15
10
5
5 / 13
mdf = calcMDF ( gB . m i s o r i e n t a t i o n )
mdf = MDF ( show methods , plot )
crystal symmetry : iron (m -3 m )
kernel : de la Vallee Poussin , halfwidth 2.5
center : 3436 orientations , resolution : 1.2
CSL3
! = 35/
! = 50/
! = 40/
! = 60/
15
CSL7
10
5
0
CSL9
5 / 13
mdf = calcMDF ( gB . m i s o r i e n t a t i o n )
m o r i = calcModes ( mdf , 2 )
mori = mi sorienta tion ( show methods , plot )
size : 1 x 2
phi1
Phi
phi2
Inv .
62.7843 48.0359 333.939
0
103.129 26.8018 284.91
0
5 / 13
Noisy Orientation Data
6 / 13
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KAM
2.5
2
1.5
1
0.5
0
10
20
no noise
30
40
δ = 0.25◦
50
60
δ = 0.5◦
70
80
δ = 0.75◦
90
100
δ = 1◦
7 / 13
Basic Denoising Techniques
noisy data, mean filter: first and second neighbor
8 / 13
Basic Denoising Techniques
noisy data, mean filter: first and second neighbor
median filter: first, third, and fifth neighbor
8 / 13
Advanced Denoising Techniques
smoothing spline filter with α = 0.1 , α = 0.58, and α = 5
9 / 13
Advanced Denoising Techniques
smoothing spline filter with α = 0.1 , α = 0.58, and α = 5
half quadratic filter with α = 0.025, α = 0.1, and α = 0.5
9 / 13
KAM of Denoised Data
2.5
2
1.5
1
0.5
0
10
20
no noise
α = 0.4
30
40
no de noising
α=1
50
60
α = 0.01
70
80
α = 0.04
90
100
α = 0.1
10 / 13
A deformed grain
11 / 13
A deformed grain
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A deformed grain
11 / 13
A deformed grain
11 / 13
A deformed grain
11 / 13
A deformed grain
11 / 13
Not Indexed Data
12 / 13
Not Indexed Data
12 / 13
Not Indexed Data
12 / 13
Not Indexed Data
12 / 13
Not Indexed Data
12 / 13
Not Indexed Data
12 / 13
Announcement
Chemnitz MTEX Workshop 2016
Scope: bring together old and new MTEX users to share their
ideas and applications
Schedule:
MTEX beginners tutorial
new developments in MTEX
step by step introduction to specific use cases by
invited speakers
recent applications of MTEX
Date: February 2015
Location: Chemnitz University of Technology, Germany
Organizer: R. Hielscher
13 / 13

@let@token MTEX an open source texture analysis toolbox

Transcription

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