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Evolution: A Framework for
Advanced SPECT Reconstruction
with Compensation for Image
Degrading Factors
Eric C. Frey, Ph.D.
Division of Medical Imaging Physics
Russell H. Morgan Department of Radiology
Johns Hopkins University
Slides not to be reproduced without permission of the author
1
Acknowledgements
JHU: Algorithm Conception, Development,
Implementation, Optimization, Validation, …
Benjamin Tsui, PhD, Paul Segars, Ph.D.
Dan Kadrmas PhD, Wen-Tung Wang, Ph.D.
Yong Du, PhD, Xiyun Song,PhD,
Xin He, PhD, Bin He
Rich Wahl, MD, Harvey Ziessman, MD,
Sybille Goetze, MD, Heather Jacene, MD,
GE Healthcare: Integration, Validation, Optimization, …
Lana Volokh, PhD,
PhD,Aharon Peretz
Eyal Shai
Bella Yuzefovich, PhD
Jonathan Sachs, MD
Clinical Bone SPECT Images and Evaluation
Dr. Einat Even-Sapir, MD, PhD
Dept. of Nuclear Medicine, Tel Aviv University
Slides not to be reproduced without permission of the author
2
Disclosure
Under a licensing agreement between the General
Electric Company and the Johns Hopkins University, I (Eric
Frey) am entitled to a share of royalty received by the
University on sales of the Evolution product described in
this presentation. The terms of this arrangement are being
managed by the Johns Hopkins University in accordance
with its conflict of interest policies.
Slides not to be reproduced without permission of the author
3
Goals
• Describe Evolution and its constituents
– Reconstruction
– Optimization
– Validation
• Describe Evolution reconstruction and its
components
• Show some results from preclinical validation
• Discuss optimization of acquisition and
reconstruction parameters
• Demonstrate application of Evolution
reconstruction to clinical data
– Bone SPECT
– Myocardial perfusion SPECT
Slides not to be reproduced without permission of the author
4
Iterative
Reconstruction
Algorithm
What is Evolution?
GE
JHU
GE & JHU
Evolution
Reconstruction
Preclinical
Validation
Integration
Optimization
Optimization
Optimization
Clinical
Validation
Clinical
Validation
Clinical
Validation
Models for
Imaging
System
Attenuation
Map
Evolution for
Evolution for
?Prostate?
?Cardiac?
Slides not to be reproduced without permission of the author
Evolution for
Bone
5
Evolution Reconstruction
– Statistical Iterative Reconstruction
– Compensation for Physical Image Degrading
Factors
Slides not to be reproduced without permission of the author
6
Statistical Image Reconstruction
• Projection data are corrupted by Poisson
noise
• Statistical reconstruction methods
– Explicitly model Poisson noise
– Operate by finding activity distribution that
“best fits” measured projection data
– “Best fit” is judged by value of objective
function
Slides not to be reproduced without permission of the author
7
Iterative Reconstruction-Based
Compensation
Initial
Estimate
Project
at each
View
Computed
Projections
Compare
Computed &
Measured
Measured
Projections
Objective
Function
New
Estimate
Update
Estimate
Slides not to be reproduced without permission of the author
Iterative
Algorithm
8
Maximum Likelihood (ML)
Objective Function
• “Likelihood” is a statistical concept
• Find activity distribution that is “closest” to
projection data
• Problem: tends to fit noise in projections
Slides not to be reproduced without permission of the author
9
Maximizing the Objective Function
– Requires iterative procedure
– A variety of iterative algorithms have been
proposed
– Properties of iterative algorithms
•
•
•
•
Reconstruction time
Theoretical rigor
Complexity to implement
Properties of image
– Noise magnitude and texture
– Spatial resolution
– Contrast resolution
Slides not to be reproduced without permission of the author
10
Common Iterative Algorithms
• Expectation Maximization (EM)
– Easily applicable to Poisson Likelihood Objective
function (ML-EM)
– Converges very slowly (many iterations required)
• Ordered subsets expectation maximization
(OS-EM)
– Much faster than EM (speedup ≈ # subsets)
– Not theoretically rigorous
– Problematic for very noisy data and large #
subsets
Slides not to be reproduced without permission of the author
11
Iterative Reconstruction-Based
Compensation
Initial
Estimate
Project
at each
View
Computed
Projections
Compare
Computed &
Measured
Models of
Degrading Effects
New
Estimate
Measured
Projections
Objective
Function
Update
Estimate
Slides not to be reproduced without permission of the author
Iterative
Algorithm
12
Image Degrading Factors
• SPECT Projection images are degraded
by
– Attenuation in patient
– Scatter in patient
– Collimator-detector response
– Poisson noise
Slides not to be reproduced without permission of the author
13
SPECT Image Formation
Point response function
Real Collimator
Ideal
Absorbed
Scattered
Attenuation
Multiply
Scattered
Source
Scattered
Slides not to be reproduced without permission of the author
Scatter
CDR blurring
14
Characteristics of Attenuation
• Attenuation depends on depth, material,
isotope
1
1
Tc-99m
0.8
Attenuation Factor
Attenuation Factor
0.8
Muscle
Lung
Bone
0.6
Muscle
Lung
Bone
0.6
0.4
0.4
0.2
0
Tl-201
0.2
0
5
10 15 20
Depth (cm)
25
30
0
0
5
Slides not to be reproduced without permission of the author
10 15 20
Depth (cm)
25
30
15
Characteristics of Scatter
• Importance of scatter increases with depth
• More scatter for isotopes emitting lower energy photons
• Shape of scatter response varies spatially and is patientdependent
# Scattered Photons
Tc-99m
# Unscattered Photons
6.0
5.0
Tc-99m
Tl-201
4.0
3.0
2.0
1.0
0.0
0
5
10 15 20 25 30 35 40
Slides not to be reproduced without permission of the author
Source depth (cm)
16
Characteristics of the CDR
• Width of CDR increases with distance from face of
collimator
• CDR is constant in planes parallel to face of collimator
6 cm
LEGP
LEHR
Distance from 5 cm
Collimator Face
10 cm
15 cm 20 cm
Slides not to be reproduced without permission of the author
17
Effect of Geometric CDR on
SPECT Images
• Loss of resolution
• Spatially varying resolution
Point Source
Phantom
FBP Reconstruction
from Projections with
LEHR Collimator
Slides not to be reproduced without permission of the author
18
Poisson Noise
• Projection data corrupted by Poisson
noise
• Noise level determined by
– injected activity
– imaging time
– sensitivity of collimator-detector system
• Noise is spatially varying
• Noise is irreversible, but effects can be
“controlled”
Slides not to be reproduced without permission of the author
19
Effect of Poisson Noise
OS-EM Reconstruction
• Noise increases with # updates
• Post-filter needed to control noise
Updates
12
25
60
120
240
480
No
Post-filter
3D Butterworth
Post-filter
order=8
cutoff=0.24 pixel-1
Updates= # iterations x # subsets
Slides not to be reproduced without permission of the author
20
Modeling Attenuation in Evolution
• Requires patient-specific attenuation map
• Can be obtained by
• transmission imaging
• x-ray CT image
• Good registration is critical (better than 1
pixel)
Slides not to be reproduced without permission of the author
21
Scatter Modeling in Evolution
• Estimated using effective scatter source
estimation (ESSE)
– Physics-based method
– Accurately models spatial variance of scatter
response
• Better than alternative approaches such
as triple-energy window (TEW) method
which can
– provide less accurate scatter compensation
– result in increase image noise
Slides not to be reproduced without permission of the author
22
CDR Modeling in Evolution
• Models spatially varying geometric CDR
based on analytical formulas
• Supports modeling of full CDR
I-131 Point Source
30 cm
MEGP
Collimator
HEGP
Collimator
Distance from
Collimator Face
5 cmSlides not to 10
cm without15
cm of the author
20 cm
be reproduced
permission
23
Atten
Comp
Atten &
Scatter
Comp
Reconstructed Pixel Value
No Comp
From
Unscattered+
Scattered
Photons
From
Unscattered
Photons
Efficacy of Attenuation and
Scatter Compensation
Unscattered-NC
Scattered+Unscattered-NC
Unscattered-AC
Scattered+Unscattered-AC
Scattered+Unscattered-ASC
150
100
50
0
0
20
40 60 80 100 120
Pixel Number
Slides not to be reproduced without permission of the author
24
Efficacy of CDR Compensation
• Resolution improves with iteration but remains limited:
cannot totally recover resolution
• Resolution remains spatially varying
• Resolution for LEHR better than for LEGP
OS-EM w/CDR compensation
FBP
Phantom
Updates
128
320
640
1280
LEGP
LEHR
Slides not to be reproduced without permission of the author
25
Effect of Compensation on
Image Noise
• Noise increases w/
iteration
• Attenuation Comp
has larger noise
where attenuation is
greatest
• CDR comp results in
“lumpy” noise
• Texture of noise
w/CDR comp
– varies spatially
– depends on
collimator
Updates
128
320
640
1280
No
Comp
Atten
CDR
LEGP
CDR
LEHR
Slides not to be reproduced without permission of the author
26
Tools for Validation and Optimization
•
•
•
•
Phantoms
MC Simulation
Observer studies
ROC Analysis
Slides not to be reproduced without permission of the author
27
Tools for Validation: Phantoms
• Physical Phantoms
Cylindrical Phantoms
270o
180o
RSD
Phantom
Torso
Phantom
0o
90o
• Mathematical Phantoms
MCAT Phantom
NCAT Phantom
Slides not to be reproduced without permission of the author
28
Tools for Validation: Phantoms
• Phantom population
Slides not to be reproduced without permission of the author
29
MC Simulation
Comparison of MC Simulation and Experiment
3.39 cm diameter Sphere w/In-111 in Elliptical
Example of Simulation of In-111 Zevalin Distribution
Computer Cluster
Activity
Attenuation Low-Noise
Slides not to be reproduced without permission
Mapof the authorProjections
SPECT
Projection
30
Preclinical Validation
• Validate accuracy of models of degrading
effects compared to simulation and
experiment
– Simple activity distributions
– Realistic activity distributions
• Validate effect on reconstructed images
– Contrast, noise, SNR
– Observer studies
Slides not to be reproduced without permission of the author
31
Observer Studies
• Evaluate image quality with respect to
detection of
– Bone lesions
– Perfusion defects
• Use
– Human observer studies
– Mathematical observer studies
• Similar to computer aided diagnosis tools
• Designed to predict human observer performance
– > 90% correlation in predicting performance
– > 96% correlation in predicting rankings
Slides not to be reproduced without permission of the author
32
Observer Studies
• Use ROC Analysis
• Area under ROC
curve is measure of
performance
– AUC=1 for perfect
performance
– AUC=0.5 for guessing
True Positive Fraction (sensitivity)
1
0.8
FBP
0.6
OSADS
0.4
OSADS-NCC
OSADS-MBCC
0.2
OSADS-True CC
0
0
0.2
0.4
0.6
0.8
1
False Positive Fraction (1-specificity)
Slides not to be reproduced without permission of the author
33
Validation Using Simple Phantoms
Tc-99m
9.7 cm diameter circular cylinder
filled with styrofoam beads and
water (dens=32% of water)
Camera
270o
180o
31.2 x 22.8 cm water-filled
elliptical cylinder
0o
90o
1 cm diameter
sphere w/ Tc-99m
Non-Uniform Attenuator
Slides not to be reproduced without permission of the author
34
Validation Using Simple Phantoms:
Tc-99m
Slides not to be reproduced without permission of the author
35
Validation using MCAT Phantom
-45o
0o
45o
Error in SPR over all views: <5%
90o
-45o
0o
45o
90o
135o
135o
projector
MC simulation
Difference
Slides not to be reproduced without permission of the author
36
Validation: Bone SPECT
• Hot sphere on warm background
– background:sphere = 1:20
– 120 views, 360 degrees, 2.21 mm pixels
– Collimator
1.3 cm
1.0 cm
3.5 cm
0.9 cm
Phantom
OS-EM
2 it, 10 subsets
Chang
not to be reproduced without permission
of theAC
author
Study performed by GESlides
Haifa
OS-EM w/CDR
4 it, 10 subsets
Chang AC
37
Validation: Torso Phantom Reconstruction
Activity ratios: heart : liver: torso = 10 : 10 : 1
A=Attenuation Compensation
AD=Attenuation and CDR Compensation
AS=Attenuation and Scatter Compensation
ADS=Attenuation, CDR and Scatter Compensation
FBP
OSEM
OSEM OSEM
A
AD
OSEM
AS
OSEM
ADS
VLA
Polar
map
Slides not to be reproduced without permission of the author
38
Preclinical Validation
In-111 Imaging
RSD
Phantom
NC
A
AS
NC=No Compensation
A=Attenuation Compensation
AD=Attenuation and CDR Comp
Coronal
Projection CT Image
AGS
ADS
Atn Map
AS=Attenuation and Scatter Compensation
ADS=Attenuation, CDR and Scatter Comp
Slides not to be reproduced without permission of the author
39
0
-20
No Comp
Atn Comp
Atn + Scatter
Atn+Scat+ Geom CDR
Atn+Scat+Full CDR
-40
-60
-80
5.6 cc sphere
20.6 cc sphere
A
Liver
Lungs
-100
Heart
% Error in Activity Estimate
Accuracy of Activity Quantitation:
RSD
Phantom
and
In
111
% Error in total activity estimation: (true-estimate)/true x 100%
Slides not to be reproduced without permission of the author
With appropriate
reconstruction, quantitative SPECT is possible!
40
Preclinical Validation: In-111 Prostascint
Clinical Images w/Simulated high-contrast lesion
OS-EM
No effects modeled,
20 updates, (clinical default)
Post-filtered
OS-EM ,
Attenuation Modeling,
12 updates, (“optimized”)
Post-filtered
OS-EM
Atten, CDR and Scatter Modeling,
16 updates, (“optimized”)
Post-filtered
Slides not to be reproduced without permission of the author
41
Clinical Applications
• Bone SPECT
– Optimization
– Clinical Validation
• Myocardial Perfusion SPECT
– Optimization
– Clinical Application
Slides not to be reproduced without permission of the author
42
Bone SPECT Optimization
• Is OS-EM w/ CDR compensaton better
than OS-EM w/ no compensation for
– Same acquisition time
– Half acquisition time
– Same collimator
– LEGP vs. LEHR collimator
Slides not to be reproduced without permission of the author
43
Bone SPECT Optimization:
Phantom Study
• Methods
• Results
– Hot spheres on warm
background
– Computed sphere SNR
and Contrast Recovery
– LEHR better than
LEGP
– OSEM w/CDR better
than OSEM w/o CDR
– OSEM w/ CDR at ½
acquisition time better
than OSEM w/o CDR
1.3 cm
1.0 cm
3.5 cm
0.9 cm
Slides not to be reproduced without permission of the author
Study performed by GE Haifa
44
Bone SPECT Optimization:
Simulation Study
•
•
•
•
•
•
NCAT Phantom Population
LEHR Collimator
Clinical count level
Simulated Poisson noise
Mathematical Observer (MO)
ROC Analysis
Activity map
Attenuation map
Noisy
Projections
L.Volokh, B.Tsui et al, “Efficacy of corrective reconstruction with collimatordetector response compensation for short tc-99m bone SPECT acquisition in a
bone lesion detection Slides
task,”
SNM 2005.
not to be reproduced without permission of the author
45
Bone SPECT Optimization:
Simulation Study
• Multiple lesion locations
• Lesion contrasts
– 2:1, 3:1, 5:1
• Lesion Sizes
– 0.5, 1.0, 2.0 cm
sternum
ribs
thoracic spine
lumbar spine
ilium
pubis
hip
MIP image for 10 min SPECT
acquisition reconstructed
with CDR compensation
Slides not to be reproduced without permission of the author
46
NC=no comp
CDR= w/CDR comp
Full Time=Normal clinical
acq. time
Half Time=half clinical acq
time
Half time reduces AUC
Half time w/CDR as good or
better than full time w/o
CDR
Area under ROC Curve
Bone SPECT Optimization:
Simulation Study Results
1
0.95
0.9
0.85
0.8
0.75
0.7
NC-Full Time
NC-Half Time
3
6
Slides not to be reproduced without permission of the author
CDR-Full Time
CDR-Half Time
8
9
10
47
Clinical Application of Evolution for Bone
Today
20 min
15 min
Whole Body Planar
Today’s
procedure
SPECT 1
Evolution - ½ time
20 min
7.5 min
Whole Body Planar
SPECT 1
Reduce overall acquisition
time by 30% w/same quality
Evolution - WB SPECT
7.5 min
SPECT 1
7.5 min
SPECT 2
7.5 min
SPECT 3
3D Imaging in same time
as planar imaging
Slides not to be reproduced without permission of the author
48
Clinical Validation
Bone SPECT
• 46 patients, 102 lesions, Consensus read by 4 physicians
• OS-EM full-time vs. half-time OS-EM
– 14 studies had similar quality
– 32 studies half-time had poorer quality
– 5 lesions detected missed on half-time acquisition
• OS-EM full-time vs. half-time OS-EM w/CDR
–
–
–
–
–
74% of studies had similar quality
5 studies: OS-EM had better quality
7 studies: Half-count OS-EM w/CDR had better quality
1 lesion seen only on OS-EM w/CDR
1 lesion changed from 1 to 2 (5 point scale) on OS-EM w/CDR
Z. Keidar et al, “Half-time bone SPECT acquisition - Assessment of a new Collimator
Slides not to be reproduced without permission of the author
Detector Response (CDR) reconstruction algorithm,” submitted to SNM, 2006
49
Clinical Validation
Bone SPECT
In 34 of 120 patients (28%),
Multi-FOV SPECT detected
lesions that would have been
missed had planar and a
single SPECT been performed
Courtesy of Dr. E. Even-Sapir,
Slides not to be reproduced without permission of the author
Tel Aviv Medical Center
50
Clinical Validation
Bone SPECT
Lesion missed on wholebody planar images
MIP
Planar
OS-EM w/CDR
Images from Dr. E. Even-Sapir,
Tel Aviv Medical Center Slides not to be reproduced without permission of the author
51
Clinical Validation
from
Bone SPECT Images
Dr. E. Even-Sapir,
Prostate Cancer: high risk for bone metastases.
What FOV for spot SPECT?
Tc-MDP SPECT
Planar Wholebody Slides not to be reproduced without permission of the author
Tel Aviv Medical Center
MIP
52
Clinical Validation
Bone SPECT
Prostate cancer w/ high risk for bone metastases
Images from
Dr. E. Even-Sapir,
Tel Aviv Medical Center
SPECT
Spot Planar
Slides not to be reproduced without permission of the author
53
Clinical Validation
Bone SPECT
Was SPECT correct?
Images from
Dr. E. Even-Sapir,
Tel Aviv Medical Center
SPECT
CT
F-18 PET
24 min
SPECT
MIP
Image quality approaching
Slides PET
not to be reproduced without
permission
of the author
F-18 PET MIP
54
Cardiac SPECT Optimization
• Questions
– Which combination of compensations?
• A, AS, AD, ADS?
– What is optimal number of iterations/subsets?
– What is optimal post-reconstruction filter?
– 180 or 360° acquisition arc?
– Can we reduce acquisition time?
Slides not to be reproduced without permission of the author
55
Perfusion Defects
– Six different locations with 36 different sizes
• Size: randomly varied ±25% around the mean
• Contrast: randomly varied in the range 10-35%
I
II
III
IV
V
VI
Short Axis
Long Axis
Slides not to be reproduced without permission of the author
56
Optimization of Iterative
Reconstruction
0.95
Area under ROC Curve
Area under ROC Curve
0.95
0.9
0.85
-1
-1
4
OSAD-5
0.9
OSA-5
0.85
0.28 pixel
0.16 pixel
2
OSAS-6
-1
0.12 pixel
0.8
OSADS-10
0.8
6
8
Iterations
10
12
0.12
0.16
0.2
0.24 0.28
-1
Cutoff Frequency (pixels )
Slides not to be reproduced without permission of the author
0.32
57
Cardiac SPECT
Optimization
1
3
AUC
0.9
6
4
1
2
5
0.8
0.7
0.6
defect 1
ADS
defect 2
defect 5
defect 3
defect 4
A
defect 6
N
AUC for defects in 6 different locations when using ADS,A and N method.
AUC values varied with defect location
Sometimes A is worse than N
ADS as good as or better than any method for all defect
locations Slides not to be reproduced without permission of the author
58
Cardiac SPECT Optimization:
180 or 360° Arc
Method
180°
360°
p-value
ADS
0.782
0.780
0.32
AD
0.777
0.770
0.26
AS
0.770
0.762
0.1
A
0.764
0.756
0.2
N
FBP
0.741
0.735
0.25
0.740
0.718
0.0066*
* Statistically
significant
p<0.05
Slides not to be reproduced
withoutdifference
permission of theat
author
59
Cardiac SPECT Optimization
Acquisition Time
MO Study
0.9
0.85
Clinical count level=1.0
0.8
0.75
0.7
0.65
0.6
0.01
OSEM-NC
OSEM-ADS
0.1
1
10
100
Relative Count Level
Area Under ROC Curve
Area Under ROC Curve
0.9
Compare MO and
Human Observers
0.85
0.8
0.75
0.7
0.65
OSEM-ADS: Human Observers
OSEM-ADS: CHO
1000
0.6
0.01
0.1
1
10
100 1000
Relative Count Level
• OSEM w/ ADS better than OSEM w/ No Compensation (NC)
• Can reduce acquisition time by ½ w/o degrading lesion detectability
Slides not to be reproduced without permission of the author
60
Cardiac Imaging
Clinical Validation
• Clinical validation by GE and JHU in
progress
FB
A
AD
ADS
VLA
SA
FB: Filtered Backprojection
A: OS-EM w/ Atten. Comp.
AD: OS-EM w/Atten. and DRF Comp.
ADS: OS-EM
w/Atten., DRF & SRF Comp.
Slides not to be reproduced without permission of the author
Butterworth Post filter (order=5, cutoff=0.28 pixel-1)
61
Summary
Statistical Image Reconstruction
• Statistical reconstruction
– Allows compensation for image degrading
factors
– Requires application-specific optimization
– Can provide improved image quality
– Can provide quantitative SPECT images
Slides not to be reproduced without permission of the author
62
Summary
Compensation for Degrading Effects
• Attenuation
– works well with high-quality attenuation map
• Scatter
– works well when appropriately implemented
– Model-based can provide reduced noise compared to
energy-window based (E.g., TEW)
• CDR
–
–
–
–
–
Improves resolution
Reduced high frequency noise
Does not completely restore resolution
Resolution remains spatially varying
Introduces spatially-varying noise texture
• Noise
– Appropriate # of subsets, iterations and postSlides not to be reproduced without permission of the author
reconstruction
filter help control noise
63
Summary
Evolution Framework
• Evolution Framework
– Evolution Reconstruction
• OS-EM
• Models for Attenuation, CDR, Scatter
– Preclinical Validation
– Application-specific optimization
– Clinical Validation
Slides not to be reproduced without permission of the author
64
Summary
Current Status of Evolution
• Evolution for Bone now available
• Evolution for Cardiac, Prostate
– Clinical validation in progress
Slides not to be reproduced without permission of the author
65
Summary
Evolution for Bone
• OSEM w/CDR allows SPECT in ½ time (7.5 min)
of clinical standard with equivalent or better image
quality compared to OSEM w/o CDR
• Can perform whole body SPECT (4 FOV) in same
time as wholebody + 1 FOV SPECT
– Equal or better contrast compared to planar
– 3D information provides better localization information
– No need to interrupt clinical flow or guess at
appropriate FOV for SPECT
– Image quality approaching PET w/o equipment
upgrade
Slides not to be reproduced without permission of the author
66