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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Endocrinol.</journal-id>
<journal-title>Frontiers in Endocrinology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Endocrinol.</abbrev-journal-title>
<issn pub-type="epub">1664-2392</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fendo.2022.884306</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Endocrinology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Deep-learning image reconstruction for image quality evaluation and accurate bone mineral density measurement on quantitative CT: A phantom-patient study</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Yali</given-names>
</name>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1694362"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Yaojun</given-names>
</name>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Xi</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1752077"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Binbin</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Chunyu</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Sihui</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1663419"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Duoshan</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1729473"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Danyang</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Huilong</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Xiangyang</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Xiaopeng</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gao</surname>
<given-names>Jianbo</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1777242"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1667816"/>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>Department of Radiology, The First Affiliated Hospital of Zhengzhou University</institution>, <addr-line>Zhengzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Xiaoguang Cheng, Beijing Jishuitan Hospital, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Songtao Ai, Radiology/Shanghai Ninth Hospital, China; Patrizio Barca, University of Pisa, Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yan Wu, <email xlink:href="mailto:yanzi155@hotmail.com">yanzi155@hotmail.com</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally and share first authorship</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Bone Research, a section of the journal Frontiers in Endocrinology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>08</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>884306</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Li, Jiang, Yu, Ren, Wang, Chen, Ma, Su, Liu, Ren, Yang, Gao and Wu</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Li, Jiang, Yu, Ren, Wang, Chen, Ma, Su, Liu, Ren, Yang, Gao and Wu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Background and purpose</title>
<p>To investigate the image quality and accurate bone mineral density (BMD) on quantitative CT (QCT) for osteoporosis screening by deep-learning image reconstruction (DLIR) based on a multi-phantom and patient study.</p>
</sec>
<sec>
<title>Materials and methods</title>
<p>High-contrast spatial resolution, low-contrast detectability, modulation function test (MTF), noise power spectrum (NPS), and image noise were evaluated for physical image quality on Caphan 500 phantom. Three calcium hydroxyapatite (HA) inserts were used for accurate BMD measurement on European Spine Phantom (ESP). CT images were reconstructed with filtered back projection (FBP), adaptive statistical iterative reconstruction-veo 50% (ASiR-V50%), and three levels of DLIR(L/M/H). Subjective evaluation of the image high-contrast spatial resolution and low-contrast detectability were compared visually by qualified radiologists, whilst the statistical difference in the objective evaluation of the image high-contrast spatial resolution and low-contrast detectability, image noise, and relative measurement error were compared using one-way analysis of variance (ANOVA). Cohen&#x2019;s kappa coefficient (k) was performed to determine the interobserver agreement in qualitative evaluation between two radiologists.</p>
</sec>
<sec>
<title>Results</title>
<p>Overall, for three levels of DLIR, 50% MTF was about 4.50 (lp/cm), better than FBP (4.12 lp/cm) and ASiR-V50% (4.00 lp/cm); the 2&#xa0;mm low-contrast object was clearly resolved at a 0.5% contrast level, while 3mm at FBP and ASiR-V50%. As the strength level decreased and radiation dose increased, DLIR at three levels showed a higher NPS peak frequency and lower noise level, leading to leftward and rightward shifts, respectively. Measured L1, L2, and L3 were slightly lower than that of nominal HA inserts (44.8, 95.9, 194.9 versus 50.2, 100.6, 199.2mg/cm<sup>3</sup>) with a relative measurement error of 9.84%, 4.08%, and 2.60%. Coefficients of variance for the L1, L2, and L3 HA inserts were 1.51%, 1.41%, and 1.18%. DLIR-M and DLIR-H scored significantly better than ASiR-V50% in image noise (4.83 &#xb1; 0.34, 4.50 &#xb1; 0.50 versus 4.17 &#xb1; 0.37), image contrast (4.67 &#xb1; 0.73, 4.50 &#xb1; 0.70 versus 3.80 &#xb1; 0.99), small structure visibility (4.83 &#xb1; 0.70, 4.17 &#xb1; 0.73 versus 3.83 &#xb1; 1.05), image sharpness (3.83 &#xb1; 1.12, 3.53&#xa0;&#xb1; 0.90 versus 3.27 &#xb1; 1.16), and artifacts (3.83 &#xb1; 0.90, 3.42 &#xb1; 0.37 versus 3.10 &#xb1; 0.83). The CT value, image noise, contrast noise ratio, and image artifacts in DLIR-M and DLIR-H outperformed ASiR-V50% and FBP (<italic>P</italic>&lt;0.001), whilst it showed no statistically significant between DLIR-L and ASiR-V50% (<italic>P</italic>&gt;0.05). The prevalence of osteoporosis was 74 (24.67%) in women and 49 (11.79%) in men, whilst the osteoporotic vertebral fracture rate was 26 (8.67%) in women and (5.29%) in men.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Image quality with DLIR was high-qualified without affecting the accuracy of BMD measurement. It has a potential clinical utility in osteoporosis screening.</p>
</sec>
</abstract>
<kwd-group>
<kwd>bone mineral density</kwd>
<kwd>osteoporosis</kwd>
<kwd>deep learning iterative reconstruction</kwd>
<kwd>Catphan 500</kwd>
<kwd>European Spine Phantom</kwd>
</kwd-group>
<contract-num rid="cn001">U1504821</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="10"/>
<table-count count="5"/>
<equation-count count="5"/>
<ref-count count="35"/>
<page-count count="15"/>
<word-count count="6192"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>1 Introduction</title>
<p>The elderly men and postmenopausal women had a high incidence rate of osteoporosis and related vertebral fracture (<xref ref-type="bibr" rid="B1">1</xref>). Vertebral fracture, especially thoracolumbar osteoporotic compression fracture, often occurs in the mid-thoracic (T7-8) and thoracolumbar spine (T12-L1) (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>). Bone mineral density (BMD) obtained from quantitative computed tomography (QCT) is a volumetric measure of vertebral trabecular bone with high sensitivity and accuracy for predicting bone strength and fracture risk (<xref ref-type="bibr" rid="B4">4</xref>&#x2013;<xref ref-type="bibr" rid="B6">6</xref>). QCT not only reduces the influence of overlying ribcage (<xref ref-type="bibr" rid="B2">2</xref>) but also prevents severe spinal degeneration and vascular calcification without requiring the oral contrast agent and body position (<xref ref-type="bibr" rid="B5">5</xref>) compared with dual-energy X-ray absorptiometry (DXA). QCT is superior to DXA in BMD measurement for early screening of osteoporosis. However, a high level of radiation exposure delivered to patients with QCT limits its further clinical application (<xref ref-type="bibr" rid="B6">6</xref>). Recently, the combination of low-dose CT (LDCT) and lumbar QCT has been initiated by the China Health Big Data (China Biobank) project for opportunistic screening of osteoporosis and lung cancer simultaneously in terms of reducing radiation dose, repeated scan, patient time, and additional costs. Wu et&#xa0;al. (<xref ref-type="bibr" rid="B5">5</xref>) described the study protocol of the combination of QCT with LDCT. Inherently, Cheng et&#xa0;al. (<xref ref-type="bibr" rid="B7">7</xref>) conducted a multicenter population-based cohort study with QCT to determine the prevalence of osteoporosis in China.</p>
<p>Unfortunately, image noise increased obviously after reducing radiation dose, while image quality decreased significantly, particularly in the spine (<xref ref-type="bibr" rid="B5">5</xref>), contributing to an inevitable decrease in diagnostic performance. An iterative reconstruction (IR) algorithm is introduced to reduce image noise and preserve image quality between radiation risk and diagnostic performance (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>). But many IR algorithms can change the magnitude of the image noise and texture details and may cause an adverse impact on the detection of low-contrast lesions, particularly at high strength levels (<xref ref-type="bibr" rid="B10">10</xref>&#x2013;<xref ref-type="bibr" rid="B12">12</xref>).</p>
<p>Currently, a new-generation deep-learning image reconstruction (DLIR) (TrueFidelity, GE Healthcare) was proposed to improve the CT image quality. It utilizes deep neural networks that consist of layers of mathematical equations, with millions of connections and parameters to generate CT images, and is designed with a fast reconstruction speed for routine CT use, even in acute care settings. And it consists of three selectable reconstruction strength levels (low, medium, and high) to control the amount of noise reduction corresponding to clinical applications and radiologist preference (<xref ref-type="bibr" rid="B13">13</xref>).</p>
<p>To assess the image quality of LDCT, accurate BMD measurement, and the performance of DLIR for image quality at ultralow-dose level, Li et&#xa0;al. (<xref ref-type="bibr" rid="B14">14</xref>) systemically evaluated the physical image quality on Catphan 500 phantom. Results indicated that the CT number linearity was unbiasedly contributing to accurate BMD quantification. DLIR performed better than iterative model reconstruction (IMR, level 2) at 0.25 and 0.75 mGy, but they didn&#x2019;t evaluate the accuracy of BMD value on European Spine Phantom (ESP). Therefore, on the basis of Li et&#xa0;al.&#x2019;s experiment, our study aimed to evaluate CT image quality and accurate BMD measurement on the Catphan 500 phantom and ESP and patient study using DLIR algorithm in comparison to 50% adaptive statistical iterative reconstruction-veo (ASiR-V 50%) and filtered back projection (FBP) reconstruction algorithms.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>2 Materials and methods</title>
<p>This prospective study was strictly adhered to HIPAA Privacy Rule and approved by the ethics committee of the First Affiliated Hospital of Zhengzhou University and Beijing Jishuitan Hospital. The China Biobank project is a multicenter cohort study and has been registered with the US clinical trials database (<uri xlink:href="https://clinicaltrials.gov/ct2/show/NCT03699228">https://clinicaltrials.gov/ct2/show/NCT03699228</uri>; trial identifier: NCT03699228). Our hospital is one of the collaborating hospitals and provided the patient cohort for this study. The informed consent of the patients was all obtained.</p>
<p>Data acquisitions were obtained from Catphan 500 phantom (Phantom Laboratory, Salem, NY, USA) and ESP (No. 145, Germany ORM company), as well as patients on Revolution CT (GE Healthcare, WI, USA) from April 2020 to June 2021. The weekly air calibration and monthly QA were performed by qualified technologists before data acquisitions and BMD measurement throughout the whole study using the Model 3 synchronous QA phantom. To reduce the uncertainty of measurements, data acquisitions were scanned 10 consecutive times separately on Catphan 500 and ESP without repositioning.</p>
<sec id="s2_1">
<title>2.1 Catphan 500 Phantom</title>
<p>The Catphan 500 phantom consists of 4 modules, including CTP401, CTP528, CTP515, and CTP486 modules. The module CTP528, CTP515, and CTP486 were selected to evaluate the high-contrast spatial resolution, low-contrast detectability, and image noise, respectively (<xref ref-type="bibr" rid="B15">15</xref>).</p>
</sec>
<sec id="s2_2">
<title>2.2 European Spine Phantom</title>
<p>ESP consisted of water-equivalent plastic made of epoxy resin and 3 cylindrical inserts of artificial vertebrae with nominal trabecular BMD values of L1 (50.5mg/cm<sup>3</sup>), L2 (100.6mg/cm<sup>3</sup>), and L3 (199.2mg/cm<sup>3</sup>), which are equivalent to water and bone solid compartments that simulate lumbar spine of the human body (<xref ref-type="bibr" rid="B16">16</xref>).</p>
</sec>
<sec id="s2_3">
<title>2.3 Study participants</title>
<p>A total of 716 patients (300 women and 416 men, age, 62.4 &#xb1; 7.2 years, range, 55-78 years) who derived from the China Biobank Study were prospectively enrolled in our hospital during March and June 2021 (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>). The exclusion criteria included: patients aged below 50 years old; patients with the use of oral corticosteroids or anti-osteoporotic medication such as vitamin D supplementation; and patients with metal implants in the upper abdominal.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Summary of data acquisitions at two phantoms and clinical setting of patient.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">CT parameters</th>
<th valign="top" align="center">Catphan 500</th>
<th valign="top" align="center">ESP</th>
<th valign="top" align="center">Participants</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Acquisition mode</td>
<td valign="top" align="center">Axial/Helical</td>
<td valign="top" align="center">Axial/Helical</td>
<td valign="top" align="center">Helical</td>
</tr>
<tr>
<td valign="top" align="left">Reconstruction kernel</td>
<td valign="top" align="center">Standard</td>
<td valign="top" align="center">Standard</td>
<td valign="top" align="center">Standard</td>
</tr>
<tr>
<td valign="top" align="left">Tube voltage (kV)</td>
<td valign="top" align="center">120</td>
<td valign="top" align="center">120</td>
<td valign="top" align="center">120</td>
</tr>
<tr>
<td valign="top" align="left">Tube current-time product (mAs)</td>
<td valign="top" align="center">25/75</td>
<td valign="top" align="center">25/75</td>
<td valign="top" align="center">25/75</td>
</tr>
<tr>
<td valign="top" align="left">Thickness/increment (mm)</td>
<td valign="top" align="center">1.25/5</td>
<td valign="top" align="center">1.25/5</td>
<td valign="top" align="center">1.25/5</td>
</tr>
<tr>
<td valign="top" align="left">Pitch</td>
<td valign="top" align="center">0.992</td>
<td valign="top" align="center">0.992</td>
<td valign="top" align="center">0.992</td>
</tr>
<tr>
<td valign="top" align="left">Beam collimation (mm)</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">40</td>
</tr>
<tr>
<td valign="top" align="left">DFOV (mm)</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
</tr>
<tr>
<td valign="top" align="left">Matrix size</td>
<td valign="top" align="center">512&#xd7;512</td>
<td valign="top" align="center">512&#xd7;512</td>
<td valign="top" align="center">512&#xd7;512</td>
</tr>
<tr>
<td valign="top" align="left">X-ray tube rotation speed(s/r)</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.5</td>
</tr>
<tr>
<td valign="top" align="left">Reconstruction algorithm</td>
<td valign="top" align="center">FBP/ASiR-V50%/DLIR(L/M/H)</td>
<td valign="top" align="center">FBP/ASiR-V50%/DLIR(L/M/H)</td>
<td valign="top" align="center">FBP/ASiR-V50%/DLIR(L/M/H)</td>
</tr>
<tr>
<td valign="top" align="left">Detector configuration (mm)</td>
<td valign="top" align="center">256&#xd7;0.625</td>
<td valign="top" align="center">256&#xd7;0.625</td>
<td valign="top" align="center">256&#xd7;0.625</td>
</tr>
<tr>
<td valign="top" align="left">Voxel size (mm)</td>
<td valign="top" align="center">0.61</td>
<td valign="top" align="center">0.61</td>
<td valign="top" align="center">0.61</td>
</tr>
<tr>
<td valign="top" align="left">CTDI<sub>vol</sub> (mGy)</td>
<td valign="top" align="center">0.25/0.75</td>
<td valign="top" align="center">0.25/0.75</td>
<td valign="top" align="center">0.25/0.75</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>CT, computed tomography; ESP, European Spine Phantom; FBP, filtered back projection; ASiR-V50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; CTDI<sub>vol</sub>, volume CT dose index; mGy, milligray; DFOV, display field of view.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_4">
<title>2.4 Scan protocol</title>
<p>Data acquisitions were obtained with a fixed tube voltage of 120 kV. And the tube current was set to yield a volume CT dose index (CDTI<sub>vol</sub>) at 2 ultralow-dose levels of 0.25 and 0.75mGy. Images were reconstructed using FBP, ASiR-V50% and DLIR (level, low, medium, and high) with a standard kernel (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>).</p>
</sec>
<sec id="s2_5">
<title>2.5 Data measurement and image evaluation</title>
<p>High-contrast spatial resolution, low-contrast detectability, and image noise are the standard image quality parameters of CT system.</p>
<sec id="s2_5_1">
<title>2.5.1 High-contrast spatial resolution</title>
<p>High-contrast spatial resolution indicates the capability of a CT system to differentiate the small high-contrast objects (<xref ref-type="bibr" rid="B15">15</xref>). The module CTP528 is used to measure the high-contrast spatial resolution <italic>via</italic> subjective and objective evaluation. For subjective evaluation, two radiologists with 6 and 8 years of radiological experience visually assess the 21 lp/cm high-resolution gauges by adjusting the window width (WW) and window level (WL) until resolving the highest number of visible line pairs. For objective evaluation, the MTF curve that represents the imaging capability of CT system for different frequency components is used to distinguish the line pairs to decimal level, and analyze the curve trend in the low- and high-frequency ranges (<xref ref-type="bibr" rid="B15">15</xref>).</p>
</sec>
<sec id="s2_5_2">
<title>2.5.2 Low-contrast detectability</title>
<p>Low-contrast detectability determines the capability to distinguish different lesions with a minor density difference (<xref ref-type="bibr" rid="B17">17</xref>). The The module CTP515 consists of 3 groups supra-slice targets at the contrast levels of 1%, 0.5%, and 0.3% with the diameter of 15, 9, 8, 7, 6, 5, 4, 3, and 2&#xa0;mm, respectively. The low-contrast detectability is estimated by the nominal contrast level of 1.0% (<xref ref-type="bibr" rid="B15">15</xref>). Two radiologists independently and blindly adjusted the WW and WL to identify the smallest supra-slice target diameter and performed a direct side-by-side comparison (<xref ref-type="bibr" rid="B18">18</xref>).</p>
</sec>
<sec id="s2_5_3">
<title>2.5.3 Image noise</title>
<p>Image noise represents the standard deviation of CT values within an ROI in the uniform phantom image (<xref ref-type="bibr" rid="B15">15</xref>). The noise power spectrum (NPS) is used to calculate the noise characterization, and the NPS curve reflects the variation of image intensity over high-contrast resolution frequency (<xref ref-type="bibr" rid="B19">19</xref>). The CTP489 module is an image uniformity module that is cast from uniform material with the CT number within 2% of water density (-25~25HU). Five circular regions of interest (ROIs) with radii of 5-6mm were cropped in the central and peripheral sites of the image (clock positions 12, 3, 6, and 9). The image uniformity was measured by the deviation of the minimum and maximum CT number values between central and peripheral sites and recommended within &#xb1;4HU (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B20">20</xref>).</p>
</sec>
<sec id="s2_5_4">
<title>2.5.4 Bone mineral density measurement</title>
<p>CT images were transferred to a dedicated QCT PRO BMD workstation (Mindways QCT PRO workstation). All QCT analyses were performed by professionally trained radiologists using Mindways QCT PRO software (3D spine function version 6.10, Mindways software Inc., Austin, TX, USA) and conducted by a Mindways QCT-PRP operator&#x2019;s manual (<xref ref-type="bibr" rid="B21">21</xref>).</p>
<p>Firstly, start the QCT PRO software, click on the 3D Spine Analysis module button, and select the L1, L2, and L3 HA inserts to analyze. Then, click the rotation tab, drag the yellow crosshair to the center of L1, L2, and L3 on the sagittal image, rotate them until it resembles a vertical box, mark the middle of them on the coronal images, and correlate to the corresponding axial images. Finally, set 3 ROIs at L1, L2, and L3 with the circular area of about 2/3 in the entire axial image and slice thickness of 9&#xa0;mm, click the report tab, and calculate the BMD of L1, L2, and L3. Unless obvious errors occurred in the measurement process, workstation software were processed for automatic analysis, including automatic functions, automatic detection of boundaries, and automatic generation of ROIs throughout the whole operation.</p>
</sec>
<sec id="s2_5_5">
<title>2.5.5 Accurate bone mineral density quantification</title>
<p>The accuracy of the BMD value on QCT is evaluated by calculating the measurement error for each HA insert. Measurement error is defined as a deviation between the measured HA and true HA concentration (units: mg/cm<sup>3</sup>). Relative measurement error reflects the accuracy error in proportion to true HA concentration (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B22">22</xref>). The precision error is used to interpret significant changes in BMD and expressed as the percentage coefficient of variation (%CV) (<xref ref-type="bibr" rid="B23">23</xref>).</p>
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</disp-formula>
</sec>
<sec id="s2_5_6">
<title>2.5.6 Qualitative image analysis</title>
<p>Two radiologists independently and blindly assess the image quality of CT images using a point-based Likert scale (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>) (<xref ref-type="bibr" rid="B19">19</xref>). Patient information and examination details were anonymized, images were presented in a random order, and radiologists were allowed to freely scroll or zoom the images and adjust the WW/WL. Consensus reading was used when there was any disagreement between two radiologists.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Grading scale of the qualitative image analysis.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Grading score</th>
<th valign="top" align="center">Image noise</th>
<th valign="top" align="center">Image contrast</th>
<th valign="top" align="center">Small structure visibility</th>
<th valign="top" align="center">Image sharpness</th>
<th valign="top" align="center">Artifacts</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left">Unacceptable</td>
<td valign="top" align="left">Unacceptable</td>
<td valign="top" align="left">Unacceptable</td>
<td valign="top" align="left">Severe</td>
<td valign="top" align="left">Severe</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left">Above average</td>
<td valign="top" align="left">Suboptimal</td>
<td valign="top" align="left">Suboptimal</td>
<td valign="top" align="left">Moderate</td>
<td valign="top" align="left">Major</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left">Average</td>
<td valign="top" align="left">Acceptable</td>
<td valign="top" align="left">Acceptable</td>
<td valign="top" align="left">Minimal</td>
<td valign="top" align="left">Minor</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">Less than average</td>
<td valign="top" align="left">Above average</td>
<td valign="top" align="left">Above average</td>
<td valign="top" align="left">No blurring</td>
<td valign="top" align="left">None</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">Minimal</td>
<td valign="top" align="left">Excellent</td>
<td valign="top" align="left">Excellent</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_5_7">
<title>2.5.7 Quantitative image analysis</title>
<p>The circular ROIs with radii of 7&#xa0;mm were manually drawn on the lung, air, liver parenchyma, and right side of the paraspinal muscle in five image sets to measure the mean CT value and SD in Hounsfield units (HU).</p>
<p>Lung measurements were obtained from the lower lung lobes toward the periphery, liver measurements from the liver parenchyma avoiding large vessels and biliary tree, air measurements were defined as the SD of air external and anterior to the patient at the sternomanubrial junction, and muscle measurements were measured at the right side of the paraspinal muscle of the posterior margin of the L2 vertebra. The SD of air and muscle were considered as image noise for chest and abdomen (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B24">24</xref>).</p>
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<p>where <italic>ROI<sub>organ</sub>
</italic> and <italic>ROI<sub>background</sub>
</italic> refer to the mean CT value of the lung, liver parenchyma, air, and paraspinal muscle, respectively; <italic>SD<sub>organ</sub>
</italic> and <italic>SD<sub>background</sub>
</italic> are image noise determined as SD in the lung, liver parenchyma, air, and muscle, respectively.</p>
</sec>
</sec>
<sec id="s2_6">
<title>2.6 Statistical analysis</title>
<p>All statistical analyses were performed using SPSS 20 software (IBM Corp., Armonk, NY, USA). The MTF and NPS curves were calculated with MATLAB R2018b (MathWorks, Natick, MA, USA). The continuous variables were expressed as mean &#xb1; SD. Subjective evaluation of the image high-contrast spatial resolution and low-contrast detectability were compared visually by qualified radiologists, whilst the statistical difference of objective evaluation of the image high-contrast spatial resolution, low-contrast detectability, image noise, and relative measurement error were compared using one-way analysis of variance (ANOVA) and Bonferroni correction. Friedman test was used to perform the qualitative evaluation. Cohen&#x2019;s kappa coefficient (k) was used to determine the interobserver agreement between two radiologists. A Kappa value of 0.21-0.40 was defined as poor, 0.41-0.60 as moderate, 0.61-0.80 as substantial, and 0.81-1.00 as excellent. A <italic>P</italic>&lt;0.05 was considered as statistically significant.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>3 Results</title>
<sec id="s3_1">
<title>3.1 High-contrast spatial resolution</title>
<sec id="s3_1_1">
<title>3.1.1 Subjective evaluation</title>
<p>In general, the high-resolution bars were clearly separable at 6 lp/cm, but started blurring at 7 or 8 lp/cm, the resolving power was all high-qualified (<xref ref-type="fig" rid="f1"><bold>Figures&#xa0;1</bold></xref>, <xref ref-type="fig" rid="f2"><bold>2</bold></xref>). The bars of the three levels of DLIR at 0.25mGy were comparable to those of ASiR-V50% at 0.75mGy. There were no statistically significant differences in slice thickness and scan type (<italic>P</italic>&gt;0.05).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>High-contrast images in helical mode reconstructed with FBP (a, f), ASiR-50% (b, g), and DLIR (L/M/H) (c, h; d, i; e, j) at 0.25mGy and 0.75mGy with a slice thickness of 1.25mm <bold>(A)</bold> and 5mm <bold>(B)</bold>, respectively. CT, computed tomography; FBP, filtered back projection; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g001.tif"/>
</fig>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>High-contrast images in axial mode reconstructed with FBP (a, f), ASiR-50% (b, g), and DLIR at three levels (L/M/H) (c, h; d, i; e, j) at 0.25mGy and 0.75mGy with a slice thickness of 1.25mm <bold>(A)</bold> and 5mm <bold>(B)</bold>, respectively. CT, computed tomography; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g002.tif"/>
</fig>
</sec>
<sec id="s3_1_2">
<title>3.1.2 Objective evaluation</title>
<p>The MTF values of FBP and ASiR-V50% at 50%MTF were &#x2264; 4.00lp/cm or less, while that of DLIR at three levels was at 4.50lp/cm. The resolving power at 10%MTF (6.78 &#xb1; 0.40 lp/cm) was generally similar to the subjective evaluation results, which showed no significant difference from that at 5%MTF. Thus, it could be used to evaluate the high-contrast spatial resolution of the CT system (<xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3</bold></xref>, <xref ref-type="fig" rid="f4"><bold>4</bold></xref>). The differences were not significant in slice thickness and scan type (<italic>P</italic>&gt;0.05). The MTF value of DLIR (three levels) at 0.25mGy was comparative to that of FBP but slightly better than that of ASiR-V50% at 0.75mGy.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>MTF curves in helical mode reconstructed with FBP, ASiR-V50%, and DLIR (L/M/H) at 0.25mGy <bold>(A)</bold> and 0.75mGy <bold>(B)</bold>. CT, computed tomography; FBP, filtered back projection; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g003.tif"/>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>MTF curves in axial mode reconstructed with FBP, ASiR-50%, and DLIR (L/M/H) at 0.25mGy <bold>(A)</bold> and 0.75mGy <bold>(B)</bold>. CT, computed tomography; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_2">
<title>3.2 Low-contrast detectability</title>
<p>All CT images were visualized at a fixed window setting (WW/WL, 70/100 HU) (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6</bold></xref>). In general, the 3&#xa0;mm low-contrast object at a 0.5% contrast level was clearly resolved, the 2&#xa0;mm low-contrast object could be resolved for DLIR at three levels, and the diameters were all less than 5mm, which confirmed that the images were qualified (<xref ref-type="bibr" rid="B25">25</xref>). In respect of low-contrast detectability, DLIR-M and DLIR-H were superior to ASiR-V50%, DLIR-L was comparable to ASiR-V50% and better than FBP, and DLIR (three levels) at 0.25mGy was comparable to ASiR-V50% at 0.75mGy. Although DLIR were clearer as the strength level, slice thickness, and radiation dose increased, there was a slightly significant difference in scan type (<italic>P</italic>&gt;0.05).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Low-contrast detectability images in helical mode reconstructed with FBP (a, f), ASiR-50% (b, g), and DLIR(L/M/H) (c, h; d, i; e, j) at 0.25mGy and 0.75mGy with a slice thickness of 1.25mm <bold>(A)</bold> and 5mm <bold>(B)</bold>, respectively. CT, computed tomography; FBP, filtered back projection; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Low-contrast detectability images in axial mode reconstructed with FBP (a, f), ASiR-50% (b, g), and DLIR(L/M/H) (c, h; d, i; e, j) at 0.25mGy and 0.75mGy with a slice thickness of 1.25mm <bold>(A)</bold> and 5mm <bold>(B)</bold>, respectively. CT, computed tomography; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g006.tif"/>
</fig>
</sec>
<sec id="s3_3">
<title>3.3 Image noise</title>
<p>In general, as the strength level decreased and the radiation dose increased, the noise level decreased while the peak frequency of the NPS curve increased (<xref ref-type="fig" rid="f7"><bold>Figures&#xa0;7</bold></xref>, <xref ref-type="fig" rid="f8"><bold>8</bold></xref>). DLIR-M and DLIR-H achieved a lower noise level than FBP and ASiR-V50%, whilst DLIR-L was comparative to ASiR-V50%. The peak frequency of the NPS curve was higher at 0.75mGy than at 0.25mGy, and those of DLIR (three levels) at 0.25mGy and ASiR-V50% at 0.75mGy were comparable. Increasing the radiation dose, the NNPS curve of FBP and ASiR-V50% indicated a rightward in the peak frequency. As the strength level increased and radiation dose decreased, the NNPS curve of DLIR at three levels presented a leftward shift in the peak frequency and showed a similar shape with only a slight frequency shift under all scan protocols (<xref ref-type="fig" rid="f7"><bold>Figures&#xa0;7</bold></xref>, <xref ref-type="fig" rid="f8"><bold>8</bold></xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>The curves of NPS and NNPS in helical mode reconstructed with FBP, ASiR-V50%, and DLIR (L/M/H) at 0.25mGy <bold>(A, B, E, F)</bold> and 0.75mGy <bold>(C, D, G, H)</bold> with a slice thickness of 1.25mm <bold>(A&#x2013;D)</bold> and 5mm <bold>(E&#x2013;H)</bold>. NPS, noise power spectrum; NNPS, normalized noise power spectrum; HU, Hounsfield units; FBP, filtered back projection; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g007.tif"/>
</fig>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>The curves of NPS and NNPS in axial mode reconstructed with FBP, ASiR-V50%, and DLIR (L/M/H) at 0.25mGy <bold>(A, B, E, F)</bold> and 0.75mGy <bold>(C, D, G, H) </bold>with a slice thickness of 1.25mm <bold>(A&#x2013;D)</bold> and 5mm <bold>(E&#x2013;H)</bold>. NPS, noise power spectrum; NNPS, normalized noise power spectrum; HU, Hounsfield units; FBP, filtered back projection; ASiR-50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g008.tif"/>
</fig>
</sec>
<sec id="s3_4">
<title>3.4 Accuracy of bone mineral density</title>
<p>Measured BMD of L1, L2, and L3 was slightly lower than that of nominal HA inserts (45.8, 95.9, 194.9 versus 50.2, 100.6, 199.2mg/cm<sup>3</sup>, respectively). The measurement error for L1, L2, and L3 HA inserts was 4.9, 4.1, and 5.1mg/cm<sup>3</sup>, with a relative measurement error of 9.84%, 4.08%, and 2.60%, respectively. Coefficients of variance for the L1, L2, and L3 HA inserts were 1.51%, 1.41%, and 1.18%. There were no statistically significant differences among L1, L2, and L3 under all scan protocols (<italic>P</italic>&gt;0.05). The accuracy of BMD value varied greatly with FBP but little with DLIR in L1, L2, and L3, and BMD in L1 varied mostly compared with L2 and L3 (<xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>).</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Accuracy deviation of bone mineral density in L1, L2, and L3 with ESP. Error bars standard deviation indicated the relative accuracy error (%) of 3 nominal HA concentrations (ESP, No.145; L1, 50.2; L2, 100.6; L3, 199.2 mg/cm<sup>3</sup> HA) for helical <bold>(A, B)</bold> and axial <bold>(C, D)</bold> scan type. The relative measurement errors and coefficient of variation of L1, L2, and L3 were fell within the range of 4-15%, indicating no statistically significant differences among L1, L2, and L3 at different scan protocols (<italic>P</italic>&gt;0.05). ESP, European Spine Phantom; HA, calcium hydroxyapatite; FBP, filtered back projection; ASiR-V50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g009.tif"/>
</fig>
</sec>
<sec id="s3_5">
<title>3.5 Basic characteristics with participants</title>
<p>Of the 716 patients including 300 women and 416 men, with an age of 62.40 &#xb1; 7.20 (50-97) years, a body weight 63.07 &#xb1; 10.82 (45.00-76.50) kg, a height of 1.66 &#xb1; 0.69 (1.55-1.78) m, and BMI of 23.05 &#xb1; 3.58 (16.65-26.93) kg/m<sup>2</sup> were recruited. The prevalence of osteoporosis was found in 74 (24.67%) women and 49 (11.79%) men, while osteoporotic vertebral fracture rate was observed in 26 (8.67%) women and 22 (5.29%) men (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Demographic characteristics of patient study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Basic characteristics</th>
<th valign="top" align="center">Female patients (n=300)</th>
<th valign="top" align="center">Male patients (n=416)</th>
<th valign="top" align="center">Total patients (n=716)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>Age (years)</bold>
</td>
<td valign="top" align="center">58.86 &#xb1; 6.90 (range, 50-97)</td>
<td valign="top" align="center">63.86 &#xb1; 8.03 (range, 52-89)</td>
<td valign="top" align="center">62.40 &#xb1; 7.20 (range, 50-97)</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Weight (kg)</bold>
</td>
<td valign="top" align="center">57.29 &#xb1; 9.57</td>
<td valign="top" align="center">67.29 &#xb1; 8.19</td>
<td valign="top" align="center">62.29 &#xb1; 10.22</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Height (m)</bold>
</td>
<td valign="top" align="center">1.61 &#xb1; 0.06</td>
<td valign="top" align="center">1.70 &#xb1; 0.05</td>
<td valign="top" align="center">1.68 &#xb1; 0.07</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>BMI (kg/m<sup>2</sup>)</bold>
</td>
<td valign="top" align="center">22.06 &#xb1; 3.43</td>
<td valign="top" align="center">23.39 &#xb1; 3.17</td>
<td valign="top" align="center">23.05 &#xb1; 3.58</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>BMD (mg/cm<sup>3</sup>)</bold>
</td>
<td valign="top" align="center">63.96 &#xb1; 28.75</td>
<td valign="top" align="center">82.51 &#xb1; 47.30</td>
<td valign="top" align="center">73.24 &#xb1; 40.22</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Osteoporosis n [%]</bold>
</td>
<td valign="top" align="center">74 (24.67%)</td>
<td valign="top" align="center">49 (11.79%)</td>
<td valign="top" align="center">123 (17.18%)</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Vertebral fracture n [%]</bold>
</td>
<td valign="top" align="center">26 (8.67%)</td>
<td valign="top" align="center">22 (5.29%)</td>
<td valign="top" align="center">48 (6.70%)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Continuous variables are expressed as mean&#xb1; standard deviation unless otherwise indicated. BMI, body mass index; BMD, bone mineral density.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_6">
<title>3.6 Qualitative image analysis</title>
<p>DLIR-M and DLIR-H were scored significantly better than ASiR-V50% in image noise (4.83 &#xb1; 0.34, 4.50 &#xb1; 0.50 vs 4.17 &#xb1; 0.37), image contrast (4.67 &#xb1; 0.73, 4.50 &#xb1; 0.70 vs 3.80 &#xb1; 0.99), small structure visibility (4.83 &#xb1; 0.70, 4.17 &#xb1; 0.73 vs 3.83 &#xb1; 1.05), image sharpness (3.83 &#xb1; 1.12, 3.53 &#xb1; 0.90 vs 3.27 &#xb1; 1.16), and artifacts (3.83 &#xb1; 0.90, 3.42 &#xb1; 0.37 vs 3.10 &#xb1; 0.83). There were statistically significant differences among DLIR-L, DLIR-M, and DLIR-H in all image quality metrics (<italic>P</italic>&lt;0.001) (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref> and <xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref>). The interobserver agreement between two radiologists showed an excellent agreement with a kappa value of 0.852.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Unenhanced CT images of a 67-year-old female for osteoporotic vertebral fracture in the L3 vertebrae. CT images were reconstructed with FBP <bold>(A, F)</bold>, ASiR-V50% <bold>(B, G)</bold>, DLIR-L <bold>(C, H)</bold>, DLIR-M <bold>(D, I)</bold> and DLIR-H <bold>(E, J)</bold> with a slice thickness of 1.25mm at 0.75 mGy. The L3 vertebrae body was shown as a severe collapse in sagittal images (arrow), and the vertebral compression appearance was presented in axial images (arrow). The BMD values of FBP, ASiR-V50%, DLIR-L, DLIR-M and DLIR-H were 72.49, 72.74, 71.68, 70.11 and 69.24 mg/cm<sup>3</sup> for L1 vertebrae, 67.33, 69.11, 70.25, 65.38, 68.49 mg/cm<sup>3</sup> for L2 vertebrae, 62.08, 45.92, 49.57, 52.21, 50.93mg/cm<sup>3</sup> for L3 vertebrae, respectively. CT, computed tomography; FBP, filtered back projection; ASiR-V50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; mGy, milligray; BMD, bone mineral density.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fendo-13-884306-g010.tif"/>
</fig>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>The qualitative image analysis.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Variables</th>
<th valign="top" align="center">FBP</th>
<th valign="top" align="center">ASiR-V50%</th>
<th valign="top" align="center">DLIR-L</th>
<th valign="top" align="center">DLIR-M</th>
<th valign="top" align="center">DLIR-H</th>
<th valign="top" align="center">
<italic>P</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Image noise</td>
<td valign="top" align="center">3.83 &#xb1; 0.37</td>
<td valign="top" align="center">4.17 &#xb1; 0.37</td>
<td valign="top" align="center">4.23 &#xb1; 0.31</td>
<td valign="top" align="center">4.50 &#xb1; 0.50</td>
<td valign="top" align="center">4.83 &#xb1; 0.34</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Image contrast</td>
<td valign="top" align="center">3.33 &#xb1; 1.25</td>
<td valign="top" align="center">3.80 &#xb1; 0.99</td>
<td valign="top" align="center">4.00 &#xb1; 0.35</td>
<td valign="top" align="center">4.50 &#xb1; 0.70</td>
<td valign="top" align="center">4.67 &#xb1; 0.73</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Small structure visibility</td>
<td valign="top" align="center">3.50 &#xb1; 1.31</td>
<td valign="top" align="center">3.83 &#xb1; 1.05</td>
<td valign="top" align="center">4.01 &#xb1; 0.53</td>
<td valign="top" align="center">4.17 &#xb1; 0.73</td>
<td valign="top" align="center">4.83 &#xb1; 0.70</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Image sharpness</td>
<td valign="top" align="center">2.17 &#xb1; 1.16</td>
<td valign="top" align="center">3.27 &#xb1; 1.16</td>
<td valign="top" align="center">3.22 &#xb1; 0.70</td>
<td valign="top" align="center">3.53 &#xb1; 0.90</td>
<td valign="top" align="center">3.83 &#xb1; 1.12</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Artifacts</td>
<td valign="top" align="center">2.81 &#xb1; 1.18</td>
<td valign="top" align="center">3.10 &#xb1; 0.83</td>
<td valign="top" align="center">3.17 &#xb1; 0.53</td>
<td valign="top" align="center">3.42 &#xb1; 0.37</td>
<td valign="top" align="center">3.83 &#xb1; 0.90</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>FBP, filtered back projection; ASiR-V50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; There showed significant statistical differences across 3 levels of DLIR (P&lt;0.001).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_7">
<title>3.7 Quantitative image analysis</title>
<p>The overall image quality, CT value, image noise, CNR, and image artifacts were outperformed for DLIR compared with ASiR-V50% and FBP (<italic>P</italic>&lt;0.001), whilst it was not a statistically significant difference between DLIR-L and ASiR-V50% (<italic>P</italic>&gt;0.05). As radiation dose and strength level increased, image noise significantly decreased, CNR obviously increased, whilst CT value showed no significant difference (<xref ref-type="table" rid="T5"><bold>Table&#xa0;5</bold></xref>).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Quantitative image analysis in patient study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Variables</th>
<th valign="top" align="center">FBP</th>
<th valign="top" align="center">ASiR-V50%</th>
<th valign="top" align="center">DLIR-L</th>
<th valign="top" align="center">DLIR-M</th>
<th valign="top" align="center">DLIR-H</th>
<th valign="top" align="center">
<italic>P</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" colspan="7" align="left">The mean CT value (HU)</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Lung</td>
<td valign="top" align="center">37.77 &#xb1; 2.82</td>
<td valign="top" align="center">40.57 &#xb1; 2.04</td>
<td valign="top" align="center">37.97 &#xb1; 3.32</td>
<td valign="top" align="center">38.10 &#xb1; 3.25</td>
<td valign="top" align="center">38.20 &#xb1; 3.40</td>
<td valign="top" align="center">0.875</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Air</td>
<td valign="top" align="center">-872.87 &#xb1; 18.26</td>
<td valign="top" align="center">-872.53 &#xb1; 18.57</td>
<td valign="top" align="center">-873.67 &#xb1; 18.75</td>
<td valign="top" align="center">-872.77 &#xb1; 19.14</td>
<td valign="top" align="center">-871.63 &#xb1; 18.88</td>
<td valign="top" align="center">1.000</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Liver</td>
<td valign="top" align="center">65.17 &#xb1; 3.07</td>
<td valign="top" align="center">65.77 &#xb1; 2.83</td>
<td valign="top" align="center">65.93 &#xb1; 4.00</td>
<td valign="top" align="center">66.00 &#xb1; 4.38</td>
<td valign="top" align="center">65.87 &#xb1; 4.77</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Muscle</td>
<td valign="top" align="center">52.87 &#xb1; 2.50</td>
<td valign="top" align="center">53.90 &#xb1; 2.25</td>
<td valign="top" align="center">53.33 &#xb1; 2.75</td>
<td valign="top" align="center">52.90 &#xb1; 2.97</td>
<td valign="top" align="center">52.43 &#xb1; 3.21</td>
<td valign="top" align="center">0.986</td>
</tr>
<tr>
<td valign="top" colspan="7" align="left">Image noise (HU)</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Lung</td>
<td valign="top" align="center">15.60 &#xb1; 1.40</td>
<td valign="top" align="center">10.50 &#xb1; 1.90</td>
<td valign="top" align="center">9.60 &#xb1; 0.20</td>
<td valign="top" align="center">7.40 &#xb1; 0.10</td>
<td valign="top" align="center">5.35 &#xb1; 0.55</td>
<td valign="top" align="center">0.002<sup>*</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Air</td>
<td valign="top" align="center">48.80 &#xb1; 0.00</td>
<td valign="top" align="center">43.25 &#xb1; 0.55</td>
<td valign="top" align="center">38.90 &#xb1; 0.70</td>
<td valign="top" align="center">34.30 &#xb1; 0.90</td>
<td valign="top" align="center">31.10 &#xb1; 1.00</td>
<td valign="top" align="center">&lt;0.001<sup>*</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Liver</td>
<td valign="top" align="center">19.35 &#xb1; 1.85</td>
<td valign="top" align="center">19.05 &#xb1; 2.65</td>
<td valign="top" align="center">13.30 &#xb1; 0.90</td>
<td valign="top" align="center">10.10 &#xb1; 0.90</td>
<td valign="top" align="center">7.40 &#xb1; 0.30</td>
<td valign="top" align="center">0.002<sup>*</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Muscle</td>
<td valign="top" align="center">19.75 &#xb1; 1.15</td>
<td valign="top" align="center">15.10 &#xb1; 0.50</td>
<td valign="top" align="center">11.15 &#xb1; 0.75</td>
<td valign="top" align="center">8.45 &#xb1; 0.35</td>
<td valign="top" align="center">6.15 &#xb1; 0.05</td>
<td valign="top" align="center">&lt;0.001<sup>*</sup>
</td>
</tr>
<tr>
<td valign="top" colspan="7" align="left">CNR</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Lung</td>
<td valign="top" align="center">20.18 &#xb1; 0.28</td>
<td valign="top" align="center">21.55 &#xb1; 0.14</td>
<td valign="top" align="center">19.58 &#xb1; 0.01</td>
<td valign="top" align="center">21.50 &#xb1; 0.34</td>
<td valign="top" align="center">21.69 &#xb1; 0.22</td>
<td valign="top" align="center">&lt;0.001<sup>*</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">&#x2003;Liver</td>
<td valign="top" align="center">0.67 &#xb1; 0.01</td>
<td valign="top" align="center">1.12 &#xb1; 0.08</td>
<td valign="top" align="center">1.16 &#xb1; 0.03</td>
<td valign="top" align="center">1.45 &#xb1; 0.05</td>
<td valign="top" align="center">2.23 &#xb1; 0.07</td>
<td valign="top" align="center">&lt;0.001<sup>*</sup>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data is expressed as mean &#xb1; standard deviation (SD); <sup>*</sup>P&lt;0.05; mGy, milligray; HU, Hounsfield units; FBP, filtered back projection; ASiR-V50%, adaptive statistical iterative reconstruction-veo 50%; DLIR(L/M/H), deep-learning image reconstruction, level low, medium, and high; CNR, contrast-to-noise ratio.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>4 Discussion</title>
<p>In our study, we systematically evaluated the image quality, accurate BMD measurement, and clinical applicability of QCT with DLIR based on multi-phantom and patient studies. Results indicated great clinical importance without requiring any additional equipment and patient time, repeated CT scan, radiation dose, and additional costs. To our knowledge, it is the first systemic study to research the application of BMD measurements at an ultralow-dose level. QCT can be utilized for further opportunistic screening of osteoporosis, osteoporotic fracture, or other clinical applications (e.g., health check-ups) in China or worldwide countries accessing to CT easily than DXA (<xref ref-type="bibr" rid="B7">7</xref>).</p>
<p>Our results are consistent with Li et al. (<xref ref-type="bibr" rid="B15">15</xref>) findings on Catphan 500. For three levels of DLIR, MTF value at 50%MTF was about 4.50lp/cm, better than those for FBP (4.12 lp/cm) and ASiR-V50% (4.00 lp/cm). The 2 or 3&#xa0;mm low-contrast object was clearly resolved at a 0.5% contrast level or at FBP and ASiR-V50%. Abdullah et&#xa0;al. (<xref ref-type="bibr" rid="B16">16</xref>) reported that the 50%MTF value and smallest size of objects were about 0.41 lp/cm and 3mm with ASiR-V (level: 40% and 60%), slightly lower than 4.50lp/cm and 2mm with DLIR. It showed an obviously lower NPS peak frequency and noise level, and a shift towards a lower spatial frequency in NNPS curve. As the strength level increased, the peak and spatial frequency of NPS curves with DLIR were decreased, which is consistent with a study reported by Greffier et&#xa0;al. (<xref ref-type="bibr" rid="B26">26</xref>). DLIR has been developed to reduce radiation dose and maintain image quality without changing the image texture or affecting the anatomical and pathological structures (<xref ref-type="bibr" rid="B13">13</xref>). And it can decrease the low-frequency noise component to improve low-contrast detectability for soft tissues ranging from 50 to 200 HU in abdominal CT (<xref ref-type="bibr" rid="B27">27</xref>), while maintaining the high-contrast spatial resolution of detailed structures, such as sharp edges and vessel boundaries at a low-dose level.</p>
<p>For image analysis in patients, DLIR-M and DLIR-H were scored better than ASiR-V50% in image noise, image contrast, small structure visibility, image sharpness, and artifacts. As radiation dose and strength level increased, image noise significantly decreased, CNR obviously increased, whilst CT value showed no significant difference (<italic>P</italic>&gt;0.05). Results indicated that DLIR had better overall image quality than ASiR-V50%. Our finding was in accordance with Singh et&#xa0;al. (<xref ref-type="bibr" rid="B28">28</xref>) and Kim et&#xa0;al. (<xref ref-type="bibr" rid="B29">29</xref>)&#x2019;s study that both obtained with relatively small sample sizes, but revealed a better significance due to the large patient cohort. Several studies suggested that DLIR was scored significantly better in overall image quality than different strengths of ASiR-V (level: 30%, 40%, and 50%) (<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B29">29</xref>) and comparable to ASiR-V (level: 70%, 100%) (<xref ref-type="bibr" rid="B30">30</xref>, <xref ref-type="bibr" rid="B31">31</xref>).</p>
<p>Three HA inserts of 50.2-199.2 mg/cm<sup>3</sup> provided a range of trabecular BMD mimicking the physiological range of BMD seen in all age groups (<xref ref-type="bibr" rid="B32">32</xref>). The relative measurement error of L1, L2, and L3 was 9.84%, 4.08%, and 2.60%, respectively. Coefficients of variance for the L1, L2, and L3 HA inserts were 1.51%, 1.41%, and 1.18%. Those all falling within the range of 4-15% and meeting the clinical BMD measurement requirements (<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B32">32</xref>, <xref ref-type="bibr" rid="B33">33</xref>). The largest and smallest deviations were found in L3 and L1, respectively. As the BMD value decreased, the relative measurement error increased significantly; especially with BMD less than 100.2 mg/cm<sup>3</sup>, thus more attention should be paid to osteoporosis patients when evaluating the risk of osteoporotic fractures. Wu et&#xa0;al. (<xref ref-type="bibr" rid="B4">4</xref>) investigated the repeatability and accuracy of QCT measurement of BMD by low-mAs with iterative model reconstruction (IMR) algorithm based on phantom level and showed the maximum deviation of accuracy was 11% for L1, 4% for L2, and 6% for L3. In contrast, our study demonstrated that the accuracy of BMD at L1 and L3 was improved with DLIR in comparison to IMR (<xref ref-type="bibr" rid="B2">2</xref>), indicating that DLIR may potentially improve the low-contrast detectability and maintain the high-contrast spatial resolution. However, further studies should be implemented to verify whether DLIR can makes the images more homogeneous in terms of CT numbers. Consistent with our findings, Wang et&#xa0;al. (<xref ref-type="bibr" rid="B6">6</xref>) observed an excellent accuracy with 3 HA inserts ranging from 3.7% to 5.9%. Zhao et al. (<xref ref-type="bibr" rid="B16">16</xref>) found that the mean trabecular BMD measurement of 3 HA inserts were 2.4%, 2.1%, and 0.5% at L1, L2, and L3 for forty different systems on ESP, indicating a smaller measurement error than our study.</p>
<p>For patients aged over 50 years, the prevalence rate of osteoporosis was 24.67% in women and 11.79% in men, and it was comparable to 29.1% in women but more than twice in men by DXA, and similar to 29.0% in women and 13.5% in men by QCT reported by Cheng et&#xa0;al. (<xref ref-type="bibr" rid="B7">7</xref>). The prevalence rate of osteoporotic fracture was 8.67% in women and 5.29% in men, which was significantly lower than 17.3% in women and 17% in men for more than 14000 subjects in Shanghai conducted by Gao et&#xa0;al. (<xref ref-type="bibr" rid="B34">34</xref>). Conversely, a study in Norway enrolled 2887 participants demonstrated a higher prevalence rate of vertebral fracture 11.8% in women and 13.8% in men (<xref ref-type="bibr" rid="B35">35</xref>). The difference in osteoporotic fracture between DXA and QCT may be attributed to the patient cohort mostly obtained from the health check-up participants for osteoporosis screening, thus further studies should be performed to assess the fracture risk of QCT in multiple participants.</p>
<p>There are some limitations to be highlighted. Firstly, the results acquired with QCT should be further compared with DXA corresponding to the prevalence of osteoporosis. Secondly, a longitudinal study should be further performed to verify the clinical utility of DLIR algorithms in osteoporosis screening. Thirdly, we didn&#x2019;t evaluate the risk factors of osteoporosis, such as age, BMI, smoking, and fragility fracture history.</p>
<p>In conclusion, image quality with DLIR was high-qualified without affecting the accuracy of BMD measurement. It may provide a great clinical utility in osteoporosis screening.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by the Ethics Committees of First Affiliated Hospital of Zhengzhou University. The patients/participants provided their written informed consent to participate in this study. Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>YL, YJ, and YW designed the study. YL and YJ performed the data analysis. YL researched the related literatures. All authors contributed the data collection, measurements, and interpretation. YL wrote the manuscript and all authors reviewed the manuscript.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This study is supported by the National Natural Science Foundation of China (grant no. U1504821).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
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