Rationale and Objectives
A reliable and cost-effective method for osteoporosis screening is important in addressing the increase in osteoporotic fractures due to aging populations. Diagnostic computed tomographic (dCT) images may contain densitometric information useful for osteoporosis screening. The aim of this study was to investigate the relationship between areal bone mineral density (aBMD) and volumetric information on dCT imaging and its suitability for building an osteopenia screening system. The goal of this system is to estimate aBMD and predict bone disease condition on the basis of dCT images of the lumbar spine.
Materials and Methods
Dual-energy x-ray absorptiometry (DXA) aBMD and computed tomographic (CT) images were obtained from 44 male patients (mean age, 60 years). An aBMD from CT images (aBMD CT ) was computed from the CT volume using established relationships of Hounsfield units to bone density and used to estimate DXA-derived aBMD (aBMD DxA ). Estimated aBMD CT was then applied to diagnose osteopenia of the lumbar spine using statistical methods.
Results
For the estimation of aBMD DxA from aBMD CT , the proposed approach yielded a high correlation factor of r = 0.852, with a root mean square error of 0.0884 g/cm 2 . The correlation was strongest when every slice in the dCT volume and both trabecular and cortical bone components were used. The classifier achieved an overall classification accuracy of 80.1% and an area under the receiver-operating characteristic curve of 0.894.
Conclusions
This clinical study demonstrates that aBMD DxA can be determined from routine CT data. Estimated aBMD DxA can be extended to form a dCT imaging–based opportunistic screening system for the detection and management of osteopenia.
Osteoporosis is a skeletal disease characterized by low bone mass and microarchitectural deterioration of bone tissue, with consequent increases in bone fragility and susceptibility to fracture. The progression of osteoporosis is often gradual, with few obvious symptoms before bone fracture . Therefore, osteoporosis must be detected and treated early to avoid fragility fractures. The main methods of diagnosing osteoporosis are the use of bone mineral density (BMD) values measured by dual-energy x-ray absorptiometry (DXA) and quantitative computed tomographic (QCT) imaging. Unfortunately, the frequency of bone screening among the population is still low. One way to improve screening rates is to exploit the densitometric information contained in diagnostic computed tomographic (dCT) images performed for other medical reasons, such as presurgical planning or diagnosis of diseases. Opportunistic osteoporosis screening using routine computed tomographic (CT) images allows physicians to receive early notification of potential bone loss and the opportunity to prescribe measures for early treatment or management.
QCT imaging can be distinguished from dCT imaging in that it is a dedicated CT technique to determine BMD. QCT imaging also requires the use of calibration, whereas dCT imaging may be used in the absence of calibration for diagnosis or presurgical planning. Although dCT imaging is performed more frequently because of the generality of its application, bone assessments cannot currently be made on the basis of dCT scans, because the absence of calibration phantoms means that dCT BMD values are less reliable than QCT BMD values. Diagnostic CT imaging is also often performed with the use of an intravenous contrast agent, which further affects BMD measurements.
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Materials and methods
Overview
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Vertebral Body Segmentation and HU Correction
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Vertebra localization and segmentation
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Vertebral body segmentation
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Intensity correction
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HUoffset=+40−μmuscle, HU
offset
=
+
40
−
μ
muscle
,
is then added to each voxel of the segmented vertebral body.
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Generation of aBMD CT from Routine CT Images
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ρ=1.112×HU+47kg/m3. ρ
=
1.112
×
HU
+
47
kg
/
m
3
.
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BMCCT=∑ρ×Sy×S2x. BMC
CT
=
∑
ρ
×
S
y
×
S
x
2
.
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Abone=Apixel×Sy×Sx. A
bone
=
A
pixel
×
S
y
×
S
x
.
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aBMDCT=BMCCTAbone. aBMD
CT
=
BMC
CT
A
bone
.
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Regression of aBMD DxA from aBMD CT
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aBMDCT=k1×aBMDDXA+k2, aBMD
CT
=
k
1
×
aBMD
DXA
+
k
2
,
where k1 k
1 and k2 k
2 are the scaling and offset constants, respectively. This assumption of linearity is supported by experimental data provided in the “Results” section. The values of the constants can be directly obtained by linear least squares regression, but the results will be adversely affected by the presence of large outliers due to infrequent but large errors in the estimation of vertebral area and bone mineral content. Random sample consensus (RANSAC) is used instead to obtain a robust estimation of the linear transformation parameters. The RANSAC procedure randomly selects pairs of points to construct linear models, and the available data are fitted to the tentative model. Points lying far away are treated as outliers, and the model is considered a potential candidate only if there are fewer than a preset number of outliers. For a valid candidate, the inlier points are collectively used to generate a regression fit. This process is continued for several iterations to yield a number of potential candidate models, which are evaluated on the basis of the standard deviation of the inlier points from the regression fit. The model with the minimum standard deviation is adopted as the best-fitting model.
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Classification of Osteopenia from aBMD CT
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Experiments
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Subjects and imaging
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Correlation between DXA and HU with volumetric information
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Estimation of aBMD DxA and aBMD CT
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Impact of segmentation of cortical and trabecular bone
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Evaluation of aBMD CT osteopenia classifier
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Comparison of aBMD CT and vBMD CT for aBMD DxA regression and osteopenia classification
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Results
Evidence of Correlation between aBMD DxA and HU
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Table 1
Correlation Coefficients Using Different Slice Sampling Schemes
Top, Middle, and Bottom Slices, r 2 (r) Entire Volume, r 2 (r) Mean without RANSAC 0.286 (0.535) 0.478 (0.691) Mean with RANSAC 0.465 (0.682) 0.647 (0.804)
RANSAC, random sample consensus.
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Estimating aBMD DxA from aBMD CT
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aBMDDXA=0.866×aBMDCT+0.194g/cm2. aBMD
DXA
=
0.866
×
aBMD
CT
+
0.194
g
/
cm
2
.
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Impact of Different Bone Tissues on DXA Correlation
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Table 2
Correlation of aBMD DxA by Computing aBMD CT from Different Bone Tissues
Bone Tissue Used r 2 (r) Cortical bone 0.479 (0.692) Trabecular bone 0.655 (0.809) Both cortical and trabecular bone 0.726 (0.852)
aBMD CT , areal bone mineral density derived from computed tomographic images; aBMD DxA , areal bone mineral density derived from dual-energy x-ray absorptiometry.
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Osteopenia Classification on the Basis of T Score
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vBMD and aBMD for Prediction and Classification
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Table 3
Comparison between Volumetric and Areal Bone Mineral Density
Method r 2 (r) RMSE (g/cm 2 ) AUC vBMD CT 0.808 (0.653) 0.104 0.871 aBMD CT 0.852 (0.726) 0.0884 0.894 Difference −5.16% (−10.1%) 17.6% −2.57%
aBMD CT , areal bone mineral density derived from computed tomographic images; AUC, area under the receiver-operating characteristic curve; RMSE, root mean square error; vBMD CT , volumetric bone mineral density derived from computed tomographic images.
The difference was obtained by subtracting the areal from the volumetric bone mineral density results.
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Discussion
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Conclusions
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