GROUP OF AUTOMATION, ELETRONIC AND COMPUTER SCIENCE INVESTIGATION Institución Universitaria ITM
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MORPHOLOGICAL ANALYSIS FOR TEMPORARY BEHAVIOUR DESCRIPTION OF PHOTOELASTICITY IMAGES ON PLASTIC FILMS GROUP OF AUTOMATION, ELETRONIC AND COMPUTER SCIENCE INVESTIGATION Institución Universitaria ITM Medellín - Colombia psivt2013 M.Sc. Juan Carlos Briñez De León Ph.D. Alejandro Restrepo Martínez Ph.D. Francisco López Giraldo
description
psivt2013. MORPHOLOGICAL ANALYSIS FOR TEMPORARY BEHAVIOUR DESCRIPTION OF PHOTOELASTICITY IMAGES ON PLASTIC FILMS. M.Sc . Juan Carlos Briñez De León Ph.D. Alejandro Restrepo Martínez Ph.D . Francisco López Giraldo. GROUP OF AUTOMATION, ELETRONIC AND COMPUTER SCIENCE INVESTIGATION - PowerPoint PPT Presentation
Transcript of GROUP OF AUTOMATION, ELETRONIC AND COMPUTER SCIENCE INVESTIGATION Institución Universitaria ITM
MORPHOLOGICAL ANALYSIS FOR TEMPORARY BEHAVIOUR DESCRIPTION OF PHOTOELASTICITY
IMAGES ON PLASTIC FILMS
GROUP OF AUTOMATION, ELETRONIC AND COMPUTER SCIENCE INVESTIGATION
Institución Universitaria ITMMedellín - Colombia
psivt2013
M.Sc. Juan Carlos Briñez De LeónPh.D. Alejandro Restrepo Martínez
Ph.D. Francisco López Giraldo
AGENDAIntroduction
Methodology
Plastic film deformation
Polarizing optical assembly for image acquisition
Stereology and Eroded surfaces
Results and Analysis
Conclusion
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Introduction
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Introduction
Photoelasticity studies
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Introduction
𝛿=h (𝑛1−𝑛2)𝛿= h𝑃 𝑎𝑠𝑒𝐷𝑒𝑙𝑎𝑦
= Thickness of samples𝑛=𝑅𝑒𝑓𝑟𝑎𝑐𝑡𝑖𝑜𝑛𝑖𝑛𝑑𝑒𝑥𝑒𝑠
Optical properties in thermo-deformable plastic films
ColorFringesOrder changes
Plastic film deformation
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Methodology - Image acquisition
ASTM D882-10, 2010
Lengthwise deformation
Shim
adzu
AGX
100
KNew
ton
Parameter Measurement
Thickness 130 µm
Length 15 cm
Width 2.5cm
Speed 25mm/min
Elastoplastic Viscoelastic
TimeFo
rce
Polarizing optical assembly
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Methodology - Image acquisition
𝐼=𝐼𝑚[1−𝑠𝑒𝑛2(2𝜃)𝑠𝑒𝑛2(𝑎𝛿)]
30 FPS
1280x1024 pixels
ROI576x150 pixels
Maximum intensity
Image Sequence
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Methodology - Image acquisition
THORLABS DCU224C
30 FPS
color image
Stereology in fringes description
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Methodology - Image processing
𝐿𝐿=Intersected pixelsGrid pixels ∗100 %
𝑺𝒕=[𝐿𝐿]𝑁
N = number of frames temporarily extracted from the deformation video
2 4 6 8 10 12 140
10
20
30
40
50
60
70
80
90
100
110
Channel R
Stereology for Morphology description (Example)
Images number
Fringe
frac
tion
in %
Images number1 2 3 4 . . .Fr
inge
frac
tion
in %
Eroded surfaces in fringes description
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Methodology - Image processing
𝑪𝒓= 𝑓 ((𝑩𝒓 ө𝑯 ) ,𝑘)𝑪𝒓=[𝑐𝑖 , 𝑗 ,𝑘]𝑚𝑥𝑛𝑥 𝑁
𝑨𝒓=[𝑎𝑖 , 𝑗 ]𝑚𝑥𝑛𝑩𝒓=𝑨𝒓 ө𝑯
𝑷𝒓=∑𝑖
𝑚
∑𝑗
𝑛
(𝑨𝒓 𝑖 , 𝑗−𝑪𝒓 𝑖 , 𝑗 ,𝑘)
𝑺𝒓= 𝑓 (𝑷𝒓 ,𝑁 )
Mechanical behavior of deformation
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Results and Analysis
0 500 1000 1500 2000 2500 3000 3500 4000 45000
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Force
Force behaviour in plastic films deformation
Images number
Forc
e m
agni
tude
(New
t)
ViscoelasticElastoplastic
Stereology Graph
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Results and Analysis
0 500 1000 1500 2000 2500 3000 3500 4000 450070
75
80
85
90
95
100
105
Channel R
Temporal behavior of a fringes fractions
Images number
Frin
ge fr
actio
n in
% Channel G
Channel B
Slow changesFast changes
0 500 1000 1500 2000 2500 3000 3500 4000 4500-4
-3
-2
-1
0
1
2
3
4
Channel R
Derivate funtion of Stereology curve
Images number
Der
ivat
e fu
ntio
n va
lue
Slow changesFast changes
Derivate function of Stereology Vector
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Results and Analysis
Eroded surfaces
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Results and Analysis
Slow changes in size Fast changes in size
Graphics comparison
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Results and Analysis
0 500 1000 1500 2000 2500 3000 3500 4000 45000
10
20
30
40
50
60
70
80
Force
Force behaviour in plastic films deformation
Images number
Force mag
nitude
(New
t)
0 500 1000 1500 2000 2500 3000 3500 4000 450070
75
80
85
90
95
100
105
Channel R
Temporal behavior of a fringes fractions
Images number
Frin
ge fr
actio
n in
%
Channel G
Channel B
Slow changes
Fast changes
Viscoelastic
Elastoplastic
Correlation coefficient between mechanical and morphological behavior
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Results and Analysis
Correlation coefficient between mechanical and morphological behavior Stereology - Force Erosion cycles - Force
Zone R G B R G B
All data -0.1821 0.0868 0.0699 -0.1634 0.0613 0.0573
Elastoplastic -0.1918 -0.2442 -0.2585 -0.1812 -0.2588 -0.2433
Viscoelastic 0.9746 -0.9648 0.4296 0.9844 -0.9635 0.4640
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Conclusion
Color fringes in image analysis show zones that could be associated with viscoelastic zones of mechanical deformation.
Stereology and erosion surfaces, applied to image analysis, allows the description of mechanical behavior suffered by a plastic film when it supports a load.
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Acknowledgements
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CIMATEL
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Thank you for your time!
Any questions?
