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“Chang attenuation 
correction 
method on SPECT” 
Final Presentation 
Nuclear medicine2 
Hossein Aslian 
July14-2014 
Contents: 
1.Introduction 
2.The definition and purpose 
3.Chang method 
4.Conclusion 
5.References 
1
Rotating scintillator 
camera 
 In SPECT similar to 
CT-scan, projection 
data are acquired 
from different view 
around patient. 
 Although image 
processing and 
image reconstruction 
methods are the 
same as CT, there are 
some significant 
differences between 
them. 
2/14 
1. Introduction
One of the most significant differences is that 
SPECT images depredate due to: 
Photon 
Attenuation 
Scattering 
Detector 
Response 
Images are reconstructed regardless of 
photons attenuation amount 
Image reconstruction is done through 
attenuation simplification 
Importing and registering maps from 
another modality 
 They are three methods for attenuation 
correction from the perspective of image reconstruction 
3/14 
1. Introduction
Degradation caused by attenuation! 
Intensity is higher due to lower attenuation 
Intensity is lower due to higher attenuation 
Consequence of attenuation 
Where in the body radioactivity is located 
Depends on size of the patient and tissue 
Depends on energy of radiation activity 
TThheerreeffoorree wwee hhaavvee ttoo rreedduuccee tthhee eeffffeecctt ooff aatttteennuuaattiioonn 
4/14 
2. Definition and purpose 
FFiigg..11:: 
HH..ZZiiaaddii,,””DDeetteerrmmiinnaattiioonn ooff 
tthhee AAtttteennuuaattiioonn MMaapp iinn 
EEmmiissssiioonn TToommooggrraapphhyy””,,JJ 
NNuuccll MMeedd ,, 22000033
From Prof.Bertocchi lecture notes we know that 
a general way to compensate attenuation is 
conjugate counting 
 It refers to acquiring data for directly opposing views and 
then combining these data into a single data set. 
D 
a b 
Detector.1 Detector.2 
1) Arithmetic mean 
2) Geometric mean 
SSoo,, iitt ddeeppeennddss oonn ttoottaall ttiissssuuee tthhiicckknneessss DD,, bbuutt nnoott oonn ssoouurrccee ddeepptthh aa,,bb 
5/14 
3. Attenuation correction 
Basic ways
Chang attenuation correction method 
Even with geometric mean we cannot have a quantitative accuracy. 
The best-known and most widely employed method that 
performs AC with FBP is due to Chang (1978). 
FBP It is the most commonly used method 
for image reconstruction in SPECT 
However physical phenomena 
cannot be modeled by FBP: 
Chang proposed one 
post reconstruction 
method 
In particular effect of 
attenuation 
6/14 
3. Chang Method
Chang attenuation correction Steps: 
1. An initial image reconstructed by FBP 
2. Estimated object geometry and counter 
to measure path length 
3. Assumed the linear attenuation at given energy 
is constant for all body tissue: 
4. Using Attenuation Correction Factor for each 
pixel 
5. Multiplying the reconstructed image by ACF for 
each pixel and finding corrected image 
= 
6. Next slides 
7/14 
3. Chang Method
Chang ACF term: 
Projection 
Pixel(x1,y1) 
d1 
d2 
Pixel(x2,y2) 
M : number of projection 
Mu : attenuation coefficient 
di : path length 
 d1>d2: ACF1>ACF2 
 Gray level pixel1< Gray level pixel2 
 AFC1 pixel1=more increase 
 AFC1 pixel1=less increase 
8/14 
3. Chang Method
9/14 
3. Chang Method 
Fig.2: H.Ziadi,”Determination ooff tthhee 
AAtttteennuuaattiioonn MMaapp iinn EEmmiissssiioonn 
TToommooggrraapphhyy””,,JJ NNuuccll MMeedd ,, 22000033 
Schematics of Profiles 
Pixel number Pixel number Pixel number 
Pixel Value 
Pixel Value 
Pixel Value
Complete implementation 
of chang method: 
Step 6: Finding error projection 
6.1: forward projected profile obtained: 
Forward projection is the image obtained with the first order correction 
6.2 subtract the forward projected from the original measured 
projection profile 
Final attenuation ccoorrrreecctteedd iimmaaggee bbyy cchhaanngg mmeetthhoodd 
10/14 
3. Chang Method
11/14 
4. Conclusion
12/14 
4.2 Attenuation correction 
methods
1. Ch.Chen, "Emission Tomography",Elsevier 
press,2004 
2. A.Webb, "Introduction into biomedical imaging 
system",Wiely,2005 
3. Jennifer Prekeges, "Nuclear Medicine 
Instrumentation", Jones & Bartlett Learning,2009 
4. Lecture notes by Professor Bertochi and 
professor Benuti,MMP2014,ICTP 
13/14 
5. References
Full of thanks 
14/14

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Chang’s attenuation correction method hossein aslian

  • 1. “Chang attenuation correction method on SPECT” Final Presentation Nuclear medicine2 Hossein Aslian July14-2014 Contents: 1.Introduction 2.The definition and purpose 3.Chang method 4.Conclusion 5.References 1
  • 2. Rotating scintillator camera  In SPECT similar to CT-scan, projection data are acquired from different view around patient.  Although image processing and image reconstruction methods are the same as CT, there are some significant differences between them. 2/14 1. Introduction
  • 3. One of the most significant differences is that SPECT images depredate due to: Photon Attenuation Scattering Detector Response Images are reconstructed regardless of photons attenuation amount Image reconstruction is done through attenuation simplification Importing and registering maps from another modality  They are three methods for attenuation correction from the perspective of image reconstruction 3/14 1. Introduction
  • 4. Degradation caused by attenuation! Intensity is higher due to lower attenuation Intensity is lower due to higher attenuation Consequence of attenuation Where in the body radioactivity is located Depends on size of the patient and tissue Depends on energy of radiation activity TThheerreeffoorree wwee hhaavvee ttoo rreedduuccee tthhee eeffffeecctt ooff aatttteennuuaattiioonn 4/14 2. Definition and purpose FFiigg..11:: HH..ZZiiaaddii,,””DDeetteerrmmiinnaattiioonn ooff tthhee AAtttteennuuaattiioonn MMaapp iinn EEmmiissssiioonn TToommooggrraapphhyy””,,JJ NNuuccll MMeedd ,, 22000033
  • 5. From Prof.Bertocchi lecture notes we know that a general way to compensate attenuation is conjugate counting  It refers to acquiring data for directly opposing views and then combining these data into a single data set. D a b Detector.1 Detector.2 1) Arithmetic mean 2) Geometric mean SSoo,, iitt ddeeppeennddss oonn ttoottaall ttiissssuuee tthhiicckknneessss DD,, bbuutt nnoott oonn ssoouurrccee ddeepptthh aa,,bb 5/14 3. Attenuation correction Basic ways
  • 6. Chang attenuation correction method Even with geometric mean we cannot have a quantitative accuracy. The best-known and most widely employed method that performs AC with FBP is due to Chang (1978). FBP It is the most commonly used method for image reconstruction in SPECT However physical phenomena cannot be modeled by FBP: Chang proposed one post reconstruction method In particular effect of attenuation 6/14 3. Chang Method
  • 7. Chang attenuation correction Steps: 1. An initial image reconstructed by FBP 2. Estimated object geometry and counter to measure path length 3. Assumed the linear attenuation at given energy is constant for all body tissue: 4. Using Attenuation Correction Factor for each pixel 5. Multiplying the reconstructed image by ACF for each pixel and finding corrected image = 6. Next slides 7/14 3. Chang Method
  • 8. Chang ACF term: Projection Pixel(x1,y1) d1 d2 Pixel(x2,y2) M : number of projection Mu : attenuation coefficient di : path length  d1>d2: ACF1>ACF2  Gray level pixel1< Gray level pixel2  AFC1 pixel1=more increase  AFC1 pixel1=less increase 8/14 3. Chang Method
  • 9. 9/14 3. Chang Method Fig.2: H.Ziadi,”Determination ooff tthhee AAtttteennuuaattiioonn MMaapp iinn EEmmiissssiioonn TToommooggrraapphhyy””,,JJ NNuuccll MMeedd ,, 22000033 Schematics of Profiles Pixel number Pixel number Pixel number Pixel Value Pixel Value Pixel Value
  • 10. Complete implementation of chang method: Step 6: Finding error projection 6.1: forward projected profile obtained: Forward projection is the image obtained with the first order correction 6.2 subtract the forward projected from the original measured projection profile Final attenuation ccoorrrreecctteedd iimmaaggee bbyy cchhaanngg mmeetthhoodd 10/14 3. Chang Method
  • 12. 12/14 4.2 Attenuation correction methods
  • 13. 1. Ch.Chen, "Emission Tomography",Elsevier press,2004 2. A.Webb, "Introduction into biomedical imaging system",Wiely,2005 3. Jennifer Prekeges, "Nuclear Medicine Instrumentation", Jones & Bartlett Learning,2009 4. Lecture notes by Professor Bertochi and professor Benuti,MMP2014,ICTP 13/14 5. References
  • 14. Full of thanks 14/14