Development of a computer system for measuring the twisting or tortuosity in arteries from medical MRI images for potential monitoring of vascular disease progression and treatment.
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Aterial tortuosity mesurement system
1. ARTERIAL TORTUOSITY
MEASUREMENT SYSTEM FOR
EXAMINING CORRELATIONS WITH
VASCULAR DISEASE
Karl Diedrich
2. Compare vascular disease to negatives
No vascular disease
Vascular Disease
High risk aneurysm relative (10% risk)
Normal aneurysm risk (5%)
Aneurysm
suruda, D. Parker, J. MacDonald, and L.A. Cannon-Albright, “Confirmation of chromosome 7q11 locus for predisposition to intracranial aneurysm,” Hu
2
3. Centerlines with bifurcation guides
enterline bifurcations guide Anterior Cerebral artery (ACA) centerline selec
selection of end points
Cross section Projection
3
4. Tortuosity measurement
e Factor Metric (DFM) = Length(L)/distance between end
MCA-ACA
bifurcation
L
d
Internal carotid artery
End of slab
Repeated measurements, same patient 4
8. Medical image segmentation
Z-Buffer segmentation [1] of arteries
tic Resonance Angiography images highlight flowing arterial blood
L. Alexander, and J. S. Tsuruda, “Enhanced image detail using continuity in the MIP Z-buffer: applications to magnetic resonance angiography,” Journal of Magnetic Resonance Ima
8
9. MIP Z-buffer segmentation
Intensity is position in
image slice stack of
maximum pixel
intensity; dark is closer,
brighter is farther
Contiguous blood
vessels are smooth
d J. S. Tsuruda, “Enhanced image detail using continuity in the MIP Z-buffer: applications to magnetic resonance angiography,” Journal of Magnetic Re
9
10. 2-D seed image
Original intensity
values for smooth
clusters over the
threshold
Used as seeds to
grow 3-D image
from
10
11. Seed histogram threshold
Histogram of 2-D seed
20% of histogram from the left is used to find
intensity threshold for 3-D region growing
Count
20% below
135
Intensity value
11
12. 3-D Region Growing
Check if pixels
neighboring 26 voxels
are above seed
histogram threshold
and add non-maximal
3-D pixels
12
14. Hole Fill
No filling Bubble filling
Bubble filling uses
connected components to
fill bubbles completely
enclosed bubbles in
aneurysm
Voxel filing fills in individual
voxels with artery
neighbors in (variable) 24
of 26 directions within 8 Voxel filling Bubble + voxel filling
voxels
Bubble fill -> 3 voxel fills ->
bubble fill
1.5 T scanner, region growing >= 0.20 14
15. Paper 1
Centerline Algorithms for Quantitative Assessmen
Karl T. Diedrich, John A. Roberts, Richard H. Schmidt and Dennis L. Parker
15
16. Least cost path centerline
Cost functions
Goal node Cross section
Least cost paths back to
goal node voxel
Backtrace from distal ends to goal and remove s
16
17. Centerline
Path costs
L. Zhang et al., “Automatic detection of three-dimensional vascular tree centerlines and bifurcations in high-resolution magnetic resonance
Goal node
Removed short path
This path made first
Branch meets previous line
17
18. Distance From Edge (DFE)
Pythagorean theorem d2 = x2 + y2 + z2
d
y
x
Diagonal distances are
longer than straight
18
19. M
Modified Distance From Edge (MDFE)
Increase MDFE of central voxels (V).
MDFE(Vi) = DFE(Vi) + N(Vi)/Nmax
N(Vi) = neighbor voxels with same DFE
Nmax = possible neighbours
Cross
Center voxel has same DFE in Z sections
DF MD
Higher intensity in image is higher value FE 19
20. Inverse cost function
Cost(Vi) = A * (1 - MDFE(Vi)/max_MDFE(Vi) )b +1
Inverts to make lower cost internal
Lower intensity
lower cost
Inversion
cost
function
MD Cost 20
22. Center of mass movement
Segmentation
Mean x, y, z position of each voxel, Vi, and up to 26 neighbors; R
Segmentation collapsing to center of mass
Accumulate the distance moved
22
23. Center of mass cost
cost is the total distance move. Exterior voxels move farther to COM; highe
23
24. Binary thinned artery
des segmentation to single lines. Pass to centerline algorithm to
ht Journal - Implementation of a 3D thinning algorithm,” 12-Oct-2007. [Online]. Available: http://www.insight-journal.org/browse/publication/181. [A
24
26. Phantom stability & accuracy
A-B) MDFE C-D) COM
ability, brighter centerline
Green known centerline. E-F) BT-MDFE G-H) BT-COM
Red calculated centerline.
Yellow is overlap. Stability Accuracy
26
27. Helix and line phantom
Root Mean Square Error (RMSE) of accuracy. Lower is better.
A lg orith m S ta b ility R MS E of
Ac c u ra c y
MD F E 0 .8 8 0 0 .2 4 0
C OM 0 .9 8 0 0 .6 1 0
B T-MD F E 1 .0 0 0 1 .8 3 3
B T-C O M 1 .0 0 0 1 .8 3 0
27
28. Artery centerline stability
A) MDFE B) MDFE C) COM
D) COM E) BT-COM F) BT-COM
Arrows show errors in ICA siphon loop 28
30. Kissing vessels (ICA)
DFE cost cross section Kiss COM cost cross section
Kiss
Segmentation Kiss
MDFE cost
M cost, completes loop Binary thinned
30
31. Stability of arterial centerlines
A lg orit IC A Portion B oth Me a n S ta n d a rd Me a n S ta n d a rd
hm s ip h on s IC A IC A num ber d e v ia tion s ta b ili d e v ia tion
a c c u ra te s ip h on s c orre c t of tre e s of tre e s ty s ta b ility
c orre c t in
im a g e
MD F E 6 /1 6 0 .3 7 5 1 /8 3 8 .8 7 5 1 4 .6 7 2 0 .6 7 7 0 .0 7 6
C O M 1 6 /1 6 1 .0 0 0 8 /8 3 5 .1 2 5 1 3 .3 1 4 0 .8 7 7 0 .0 4 2
B T- 1 0 /1 6 0 .6 2 5 4 /8 3 7 .5 0 0 1 3 .6 1 7 0 .8 8 3 0 .0 6 8
C OM
31
32. Paper 2
of an arterial tortuosity measure with application to hypertensio
32
33. Lopsided phantom accuracy
d phantom challenges COM
COM MDFE DFE-COM
A lg orith m N u m b e r of tre e s S ta b ility R MS E of Ac c u ra c y
C OM 6 0 .9 1 8 0 .8 7 9
MD F E 6 0 .8 1 9 0 .4 1 7
D F E -C O M 6 0 .9 0 5 0 .4 1 3
33
34. DFE-COM ICA siphon
A lg IC A Portio B oth Porti Me a n S ta n d a r Me a n S ta n d a
orit s ip h n IC A IC A on num d s ta b ili rd
hm on s s ip h o c orre c orre ber d e v ia ti ty d e v ia ti
accu ns c t in ct of on of on
ra te c orre im a g im a g tre e s tre e s s ta b ilit
ct e es y
C O M 1 5 /1 6 0 .9 3 8 7 /8 0 .8 7 5 3 7 .0 0 1 2 .3 5 2 0 .8 7 2 0 .0 4 5 9
0
MD F 7 /1 6 0 .4 3 8 1 /8 0 .1 2 5 3 9 .8 7 1 3 .2 2 8 0 .6 7 3 0 .0 7 3 2
E
5
D F E - 1 5 /1 6 0 .9 3 8 7 /8 0 .8 7 5 3 8 .6 2 1 1 .4 3 9 0 .8 2 5 0 .0 4 3 4
C OM
5
34
35. Visual versus quantitative ranking
DFM to mean human 0.72 Spearmen rank c
Between humans 0.88±0.048
25 arteries
5 observers
35
36. Hypertension in microvessels
HTN NOR
eries (LSA) in hypertensives (HTN) increased tortuosity, less number than normotensives (NOR) (7 T
g et al., “Hypertension correlates with lenticulostriate arteries visualized by 7T magnetic resonance angiography,” Hypertension, vol. 54, no. 5, pp. 10
36
37. Resolution effect on tortuosity
Same subjects at different resolutions by acquisition and interpolation
37
38. Hypertension and tortuosity
A rte ry P-v a lu e
L e ft AC A 0 .0 0 3 7 7
R ig h t AC A 0 .0 5 9 3
L to R AC A 0 .0 1 6 5
L e ft IC A 0 .0 2 1 5
R ig h t IC A 0 .1 4 2
L e ft L S A s 0 .0 0 1 6 1
R ig h t L S A s 0 .0 0 0 5 2 0
L e ft L S A s 0 .0 0 9 7 7
R ig h t L S A s 0 .0 0 0 8 0 0
L e ft L S A 1 0 .0 2 3 8
R ig h t L S A 1 0 .0 0 9 0 5
L e ft L S A 1 0 .0 8 8 0
R ig h t L S A 1 0 .0 7 8 6
HTN N = 18±3.0
NEG N = 18±3.8
1-sided Wilcoxon signed rank test
38
39. Negative controls
Korean negative control consistently lower
Utah hospital same as North Carolina negative control
ffects of healthy aging on intracerebral blood vessels visualized by magnetic resonance angiography,” Neurobiology
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43. Aneurysms and tortuosity
A rte ry P-v a lu e
L e ft AC A 0 .0 0 0 5 4
R ig h t 0 .0 7 9
AC A
L to R 0 .3 2 0
AC A
B a s ila r 0 .1 5 7
L e ft IC A 0 .0 9 7
R ig h t 0 .0 7 8
IC A
L e ft VA 0 .0 4 3
R ig h t VA 0 .4 3 1
urysm N = 53±10
ative N = 36±5.9
ded Wilcoxon signed rank test
43
44. Loeys-Dietz tortuosity
A rte ry P-v a lu e
AC A le ft 0 .4 7 4
AC A 0 .1 3 1
rig h t
B a s ila r 0 .0 0 4 5
0
L -R AC A 0 .0 6 3 1
IC A le ft 0 .3 2 2
IC A 0 .2 1 6
rig h t
V A le f t 0 .0 0 0 4
3
VA rig h t 0 .0 5 0 9
Dietz N = 4.5±1.2
ve N = 36±5.9
d Wilcoxon signed rank test
tially distinguish LDS from Marfan with tortuosity
44
45. Tortuosity distribution
Arnold-Chiari malformation: occurs 1 in 1280,
13.3% of LDS patients [1]
Marfan diagnosis: LDS can be misdiagnosed as Marfan
Loeys-Dietz
(LDS)
mean = 1.9
Collection of negative controls and vascular
omes caused by mutations in the TGF-beta receptor,” The New England Journal of Medicine, vol. 355
45
46. Components of medical informatics
Signal processing
Applied image processing to anatomical measurement
Database design 5/5
Applied database design to medical image analysis
Decision making
Aided diagnosing Loeys-Dietz syndrome
Modeling and simulation
Simulated artery shapes to challenge centerline algorithms
Optimizing interfaces between human and machine
Artery and centerline measurement and display
Centerline visualizations
Medical informatics: a real discipline?,” Journal of the American Medical Informatics Association: JAMIA, vol. 2, no. 4, pp. 207-21
46
47. Experiment conclusions
Methods detected increased arterial tortuosity
Hypertensive sample
Loeys-Dietz syndrome sample
Increased tortuosity could distinguish Loeys-
Dietz from related Marfan
Correlated Loeys-Dietz syndrome TGFBR2
genotype with tortuosity phenotype
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48. System conclusions
Flexible analysis system
Change groups in comparisons
Change and modify tortuosity algorithms
Reanalyze with new data
Secondary use of existing images
Enabled by interpolation of images
Enables quick less expensive testing of hypotheses
Use to decide on best prospective studies
48
49. Acknowledgments
Committee: John Roberts, Richard Schmidt, Lisa Canon-
Albright, Paul Clayton, Dennis Parker
Co-authors: John Roberts, Richard Schmidt, Lisa Canon-
Albright, Dennis Parker, Chang-Ki Kang, Zang-Hee Cho,
Anji T. Yetman
This work was support by NLM Grants: T15LM007124,
and 1R01 HL48223, and the Ben B. and Iris M. Margolis
Foundation.
Many thanks to the students and staff at Utah Center
for Advanced Imaging Research (UCAIR)
49
50. Acknowledgments
nstitute (NRI), Gachon University of Medicine and Science
, Division Of Cardiology, Primary Children's Medical Cent
, University of Utah
n and Leo
50
Notas do Editor
First make a centerline representing the artery. Simpler to make measurements on. Find end-points to measure from.
Slab ends at variable point. Tortuosity measurement can be taken at peak or end of curves.
Higher peaks for more tightly wound coils. Oscillating shapes create oscillating curve.
Radio frequency coils generate signal. Gradient coils encode spatial position.
Segmentation separates flowing arterial blood from stationary background tissues.
Cast rays through 3D data and display position of brightest point on each ray. Arterial blood is smooth in the image. MIP-Z smoothness defines a set of seed points; not full 3D artery segmentation.
Slow moving or recirculating blood in aneurysms have low signal; appear as background.
Hole filling especially needed in aneurysms. Aneurysm is a dilation 1.5 X vessel diameter. Holes touching outside aren’t filled in by connected component bubble filling.
Compare centerline algorithms used for anatomy assessment.
How we make a centerline. Cost function applied to segmentation has to be cheap in middle and expensive outside. Least cost centerline goes to middle. Working from the goal node assign the least cost back to the goal node from every voxel in the segmentation. Next slide describes removing short paths.
Optional cost function. MDFE higher in middle; lower on outside. Needs reversing.
Centerline will go to low cost middle.
Black area in middle actually has a gradient of values.
Dim short branches were pruned by shortest paths centerline algorithm.
Compare algorithm stability starting from different goal nodes. Phantom generated starting with lines of dots and fill in around dots. Original dots used as true centerline.
Green known centerline. Red is calculated centerline missing green. Yellow is overlap between known and calculated. Brighter stability plot; all centerlines not taking the same path. Display scales stability intensity.
BT-DFE and BT-COM are BT eroded data input into other algorithm. The stability measure for an image was the percentage of centerline voxels in the accumulated image called centerline for all of the centerline roots. Stability is fraction of all points that are the same from all starting points.
Only COM doesn’t have errors in ICA siphon loop.
Sometime the MDFE is correct but not from all goal nodes.
BT eroded data so few alternatives exist. BT is inherently stable.
Apply centerline hypertensive population
Made phantom to challenge COM algorithm. Weighted COM with DFE to make voxels toward middle have more weight in centerline calculation. COM centerline pulled to one side.
Humans are more similar to each other than to computer. Repeated experiment and got lower correlations between neurosurgeons.
Hypertensives have less microvessels.
Images not all at same resolution. Double resolution increases tortuosity about 5%. Closer resolutions more similar tortuosity scores. 0.23x0.23x0.36
DFM curve was good enough to show statistical significant difference, but not clinically useful due to overlap. Hypertension can be used as a training set testing tortuosity measurements to increase separation between groups to find clinically significant measure. Phase frequency artifact. Pulsatile flow. X and Y position are recorded at different times.
Repeat experiment with Utah population. Utah and North Carolina negatives similar. Shows that Utah hospital control of patients with headaches or head injuries are a valid negative control. Difference not explained by sex or age. Ethnicity is different. Utah and NC are both mostly white European populations. Use specific negative controls for each test population.
Only compared within Utah population. Utah hypertensive population on hypertensive medication.
Highest, median and low tortuosity subjects all have intracranial aneurysms. Marfan syndome can be misdiagnosis of Loeys-Dietz syndrome.
Compared Aneurysms, high-risk aneurysms, high-risk no aneurysms versus Utah negative control.
Database and plotting interface allow distribution viewing. Arnold-Chiari malformation: structural defects in the cerebellum, the part of the brain that controls balance Combination of tortuosity and medical record screening for Marfan, Arnold-Chiari malformation can identify LDS plotDFM(pwd=kpwd, conType='RODBC', arteryIds=c(5), cmdline=TRUE, legendx=.5, legendy=.95, hist=TRUE)
Biomedical informaticians always have to talk about what biomedical informatics is.