Rationale and Objectives
Accurate segmentation of the brain ventricular system on computed tomographic (CT) imaging is useful in neurodiagnosis and neurosurgery. Manual segmentation is time consuming, usually not reproducible, and subjective. Because of image noise, low contrast between soft tissues, large interslice distance, large shape, and size variations of the ventricular system, no automatic method is presently available. The authors propose a model-guided method for the automated segmentation of the ventricular system.
Materials and Methods
Fifty CT scans of patients with strokes at different sites were collected for this study. Given a brain CT image, its ventricular system was segmented in five steps: (1) a predefined volumetric model was registered (or deformed) onto the image; (2) according to the deformed model, eight regions of interest were automatically specified; (3) the intensity threshold of cerebrospinal fluid was calculated in a region of interest and used to segment all regions of cerebrospinal fluid from the entire brain volume; (4) each ventricle was segmented in its specified region of interest; and (5) intraventricular calcification regions were identified to refine the ventricular segmentation.
Results
Compared to ground truths provided by experts, the segmentation results of this method achieved an average overlap ratio of 85% for the entire ventricular system. On a desktop personal computer with a dual-core central processing unit running at 2.13 GHz, about 10 seconds were required to analyze each data set.
Conclusion
Experiments with clinical CT images showed that the proposed method can generate acceptable results in the presence of image noise, large shape, and size variations of the ventricular system, and therefore it is potentially useful for the quantitative interpretation of CT images in neurodiagnosis and neurosurgery.
Because of its relatively short scanning time and low cost, computed tomographic (CT) imaging is widely used in neurosurgery and neurodiagnosis . To better analyze brain CT scans, segmentation of the ventricular system may be of importance for several reasons. First, the ventricular system is useful for the diagnosis of human brain abnormality: ventricular enlargement can be associated with some diseases, such as schizophrenia, ventriculitis, and meningitis. Second, information about the position, shape, and size of the ventricular system is helpful for locating ventricular hemorrhages and staging and treatment evaluation of brain stroke . Because the intensity of the ischemic region on a CT scan is usually between the cerebrospinal fluid (CSF) and gray matter (GM), and can even be overlapped with CSF regions, the accurate segmentation of the ventricular system is useful for ischemic region localization. Third, the segmented ventricular system can be used as an important anatomic landmark to guide the registration of a brain atlas such as the Talairach and Tournoux (TT) atlas with CT scans and thus to increase registration accuracy.
A number of methods have been developed for the extraction of the ventricular system from magnetic resonance images, for example, intensity-based methods such as thresholding and region growing , model-based methods such as atlas warping , geometric and parametric model deformation , and knowledge-based methods . However, no method is presently available for the automatic segmentation of the ventricular system from CT scans. This is due mainly to the following difficulties.
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Figure 1
Histogram enhancement for cerebrospinal fluid (CSF) segmentation: (a) histogram of the whole computed tomographic scan; (b) histogram of whole brain tissue inside the brain skull: it is not suitable to segment the CSF in the brain, because the CSF peak is not distinguishable; and (c) local histogram calculated in the vicinity of the ventricular system: its CSF peak is enhanced and visible and is used to find the threshold of the CSF using Gaussian function fitting. GM, gray matter; WM, white matter.
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Figure 2
Illustration of original images and segmentation results of subjects with different morphometric and pathologic features. The first row shows the original images of four subjects. The second row shows their segmentation results. The third row displays the three-dimensional models built from the segmentation results of the entire ventricles. (a) Subject with a large ischemic region adjacent to right ventricle. (b) Subject with very small ventricles. (c) Subject with serious intraventricular calcification. (d) Subject with very large ventricles.
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Figure 3
Illustration of ventricular leakage problems: the third ventricle has a wide common boundary (region A1) with the lateral ventricle and leaks to the subarachnoid cavity at its posterior-inferior part (region A2); the lateral ventricle (region A3) leaks to the basal cistern through the region (A4) on its inferior neighboring slice.
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Materials and Methods
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Construction of the ROI Model
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Registration of ROI Model to Image
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Generation of ROI in Image
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Ω0=V0∪Ω(V′5,−d1), Ω
0
=
V
0
∪
Ω
(
V
5
′
,
−
d
1
)
,
Ωi=Ω(V′i,d2)−Ω0fori=1,2;Ωi=Ω(V′i,d2)fori=3,4, Ω
i
=
Ω
(
V
i
′
,
d
2
)
−
Ω
0
for
i
=
1
,
2
;
Ω
i
=
Ω
(
V
i
′
,
d
2
)
for
i
=
3
,
4
,
Ω5=V10−Ω0;Ω6=V20−Ω0, Ω
5
=
V
0
1
−
Ω
0
;
Ω
6
=
V
0
2
−
Ω
0
,
and
Ω7=Ω(V′1∪V′2,d2), Ω
7
=
Ω
(
V
1
′
∪
V
2
′
,
d
2
)
,
where d 1 and d 2 are given constants with their values empirically set to 4 and 6 mm, respectively. Region Ω 0 is used to avoid the leakage of the two lateral ventricles, region Ω 7 is used to calculate the CSF intensity threshold, and regions Ω 1 to Ω 6 are used for the segmentation of four ventricles.
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Calculation of the CSF Threshold
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f(x)=∑2i=1hiexp[(x−μi)2/(2σ21)], f
(
x
)
=
∑
i
=
1
2
h
i
exp
[
(
x
−
μ
i
)
2
/
(
2
σ
1
2
)
]
,
where x is the intensity value, μ the mean, σ the standard deviation, and h the height of the Gaussian function.
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Segmentation of the Ventricular System
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Identification of Intraventricular Calcification
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Results
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Table 1
Comparison Between Our Ventricular Segmentation Results and Ground Truth on Images With Different Representative Features
Left Ventricle Right Ventricle Third Ventricle Fourth Ventricle Four Ventricles Subject DSC FP FN DSC FP FN DSC FP FN DSC FP FN DSC FP FN 1 82.1 0.3 30.1 70.4 36.5 15.0 60.1 23.2 47.0 74.2 23.3 27.2 74.1 21.6 22.5 2 87.2 4.6 19.1 84.4 2.0 25.6 47.0 83.9 12.8 57.7 82.7 5.6 78.3 14.1 20.2 3 78.6 0.5 35.0 85.6 14.3 14.4 74.4 29.8 23.1 70.6 41.3 23.0 82.2 10.1 23.2 4 96.1 2.2 7.4 96.4 0.8 6.9 92.0 13.1 8.6 96.4 6.5 6.9 96.3 1.3 7.1 5 92.1 0.4 14.3 90.1 0.2 17.8 51.7 32.1 54.4 46.3 20.8 63.6 90.1 1.1 17.1 6 83.7 3.2 25.7 80.2 0.8 32.5 80.2 17.7 21.2 73.1 19.1 31.4 80.9 5.4 28.5 7 92.5 0.8 13.2 92.2 1.1 13.5 78.9 35.7 11.7 80.7 5.9 28.4 91.5 2.7 13.4 8 82.1 31.5 8.4 78.7 37.6 4.2 66.2 72.2 14.7 31.3 79.3 48.1 78.9 36.8 7.6 9 75.7 32.0 13.6 74.2 41.3 10.8 49.6 89.5 31.1 51.8 76.6 3.3 72.1 40.1 13.1 10 81.2 8.9 25.6 81.5 7.3 26.2 74.9 19.2 28.6 88.7 1.8 18.9 81.0 9.0 25.9 11 81.2 8.6 25.8 79.1 7.8 29.5 69.9 22.6 34.2 79.9 34.1 10.9 79.4 10.7 27.1 12 86.8 6.9 18.0 86.3 7.3 18.6 75.2 49.1 10.2 83.8 11.5 19.6 85.8 9.3 17.9 13 63.9 19.1 44.1 77.3 23.6 22.1 63.7 85.7 13.2 77.2 37.5 13.7 71.1 27.1 29.8 14 89.0 4.2 16.4 90.2 2.5 15.8 76.1 9.3 32.9 66.0 10.6 45.5 88.5 3.8 17.5
DSC, Dice similarity coefficient; FP, false-positive ratio; FN, false-negative ratio.
Table 2
Performance Statistics of Our Method on the Entire Data Set ( n = 50)
Left Ventricle Right Ventricle Third Ventricle Fourth Ventricle Four Venticles DSC FP FN DSC FP FN DSC FP FN DSC FP FN DSC FP FN Mean 85.0 6.1 16.2 85.8 8.37 17.2 67.5 41.8 27.8 58.8 42.9 38.6 84.8 10.1 18.0 Standard deviation 7.8 9.5 10.3 6.8 15.5 7.8 18.3 38.1 19.9 29.7 49.6 31.5 7.1 12.8 7.5
DSC, Dice similarity coefficient; FP, false-positive ratio; FN, false-negative ratio.
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Discussion
Statistical Versus Structural Method
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Shape-based Interpolation
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Limitations and Further Improvement
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Conclusion
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Appendix
boundary Patch–based Region-Growing Procedure
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∂i,k+1=∪p∈∂i,k{q|q∈N26(p),q∈Ω}−[K∪(∪ni=1∂i,k)](k=0,1,2,…), ∂
i
,
k
+
1
=
∪
p
∈
∂
i
,
k
{
q
|
q
∈
N
26
(
p
)
,
q
∈
Ω
}
−
[
K
∪
(
∪
i
=
1
n
∂
i
,
k
)
]
(
k
=
0
,
1
,
2
,
…
)
,
where N 26 ( p ) represents all the 26 neighbors of the voxel p . The procedure of generating ∂ i , k +1 from ∂ i , k continues either until ∂i,ki+1 ∂
i
,
k
i
+
1 is empty or the number of voxels in ∂i,ki+1 ∂
i
,
k
i
+
1 is more than twice the number of voxels in the previous step ∂i,ki ∂
i
,
k
i (ie, # ∂i,ki+1 ∂
i
,
k
i
+
1 > 2 × # ∂i,ki ∂
i
,
k
i ). The last stopping condition is used to avoid leakage.
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X=∪ni=1(∪kij=0∂i,j)∪K. X
=
∪
i
=
1
n
(
∪
j
=
0
k
i
∂
i
,
j
)
∪
K
.
The region X is regarded as the result of the region-growing procedure. For the ventricular segmentation, the candidate region Ω is the related CSF region.
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