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A Spectral CT Method to Directly Estimate Basis Material Maps From Experimental Photon-Counting Data
The proposed spectral CT method solves the constrained one-step spectral CT reconstruction (cOSSCIR) optimization problem to estimate basis material maps while modeling the nonlinear X-ray detection process and enforcing convex constraints on the basis map images. In order to apply the optimization-...
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Published in: | IEEE transactions on medical imaging 2017-09, Vol.36 (9), p.1808-1819 |
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description | The proposed spectral CT method solves the constrained one-step spectral CT reconstruction (cOSSCIR) optimization problem to estimate basis material maps while modeling the nonlinear X-ray detection process and enforcing convex constraints on the basis map images. In order to apply the optimization-based reconstruction approach to experimental data, the presented method empirically estimates the effective energy-window spectra using a calibration procedure. The amplitudes of the estimated spectra were further optimized as part of the reconstruction process to reduce ring artifacts. A validation approach was developed to select constraint parameters. The proposed spectral CT method was evaluated through simulations and experiments with a photon-counting detector. Basis material map images were successfully reconstructed using the presented empirical spectral modeling and cOSSCIR optimization approach. In simulations, the cOSSCIR approach accurately reconstructed the basis map images ( |
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In order to apply the optimization-based reconstruction approach to experimental data, the presented method empirically estimates the effective energy-window spectra using a calibration procedure. The amplitudes of the estimated spectra were further optimized as part of the reconstruction process to reduce ring artifacts. A validation approach was developed to select constraint parameters. The proposed spectral CT method was evaluated through simulations and experiments with a photon-counting detector. Basis material map images were successfully reconstructed using the presented empirical spectral modeling and cOSSCIR optimization approach. In simulations, the cOSSCIR approach accurately reconstructed the basis map images (<;1% error). In experiments, the proposed method estimated the low-density polyethylene region of the basis maps with 0.5% error in the PMMA image and 4% error in the aluminum image. For the Teflon region, the experimental results demonstrated 8% and 31% error in the PMMA and aluminum basis material maps, respectively, compared with -24% and 126% error without estimation of the effective energy window spectra, with residual errors likely due to insufficient modeling of detector effects. The cOSSCIR algorithm estimated the material decomposition angle to within 1.3 degree error, where, for reference, the difference in angle between PMMA and muscle tissue is 2.1 degrees. The joint estimation of spectral-response scaling coefficients and basis material maps was found to reduce ring artifacts in both a phantom and tissue specimen. The presented validation procedure demonstrated feasibility for the automated determination of algorithm constraint parameters.</description><identifier>ISSN: 0278-0062</identifier><identifier>EISSN: 1558-254X</identifier><identifier>DOI: 10.1109/TMI.2017.2696338</identifier><identifier>PMID: 28436858</identifier><identifier>CODEN: ITMID4</identifier><language>eng</language><publisher>United States: IEEE</publisher><subject>Algorithms ; Aluminum ; Calibration ; Computed tomography ; Computer simulation ; Data models ; Detectors ; Energy measurement ; Errors ; Feasibility studies ; Image detection ; Image reconstruction ; Iterative reconstruction ; Low density polyethylenes ; material decomposition ; Mathematical models ; Modelling ; Muscles ; Optimization ; Parameters ; Phantoms, Imaging ; photon-counting ; Photonics ; Photons ; Polyethylene ; Polymethyl methacrylate ; Polymethylmethacrylate ; Polytetrafluoroethylene ; Scaling ; Spectra ; spectral CT ; Tissues ; Tomography, X-Ray Computed ; X-Rays</subject><ispartof>IEEE transactions on medical imaging, 2017-09, Vol.36 (9), p.1808-1819</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2017</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c557t-ab2ac3092461c250d786cee1f261d80e5d44a352f8b61a6e7510edceddacb7453</citedby><cites>FETCH-LOGICAL-c557t-ab2ac3092461c250d786cee1f261d80e5d44a352f8b61a6e7510edceddacb7453</cites><orcidid>0000-0002-9840-0963</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/7906625$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,780,784,885,27924,27925,54796</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/28436858$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Schmidt, Taly Gilat</creatorcontrib><creatorcontrib>Barber, Rina Foygel</creatorcontrib><creatorcontrib>Sidky, Emil Y.</creatorcontrib><title>A Spectral CT Method to Directly Estimate Basis Material Maps From Experimental Photon-Counting Data</title><title>IEEE transactions on medical imaging</title><addtitle>TMI</addtitle><addtitle>IEEE Trans Med Imaging</addtitle><description>The proposed spectral CT method solves the constrained one-step spectral CT reconstruction (cOSSCIR) optimization problem to estimate basis material maps while modeling the nonlinear X-ray detection process and enforcing convex constraints on the basis map images. In order to apply the optimization-based reconstruction approach to experimental data, the presented method empirically estimates the effective energy-window spectra using a calibration procedure. The amplitudes of the estimated spectra were further optimized as part of the reconstruction process to reduce ring artifacts. A validation approach was developed to select constraint parameters. The proposed spectral CT method was evaluated through simulations and experiments with a photon-counting detector. Basis material map images were successfully reconstructed using the presented empirical spectral modeling and cOSSCIR optimization approach. In simulations, the cOSSCIR approach accurately reconstructed the basis map images (<;1% error). In experiments, the proposed method estimated the low-density polyethylene region of the basis maps with 0.5% error in the PMMA image and 4% error in the aluminum image. For the Teflon region, the experimental results demonstrated 8% and 31% error in the PMMA and aluminum basis material maps, respectively, compared with -24% and 126% error without estimation of the effective energy window spectra, with residual errors likely due to insufficient modeling of detector effects. The cOSSCIR algorithm estimated the material decomposition angle to within 1.3 degree error, where, for reference, the difference in angle between PMMA and muscle tissue is 2.1 degrees. The joint estimation of spectral-response scaling coefficients and basis material maps was found to reduce ring artifacts in both a phantom and tissue specimen. The presented validation procedure demonstrated feasibility for the automated determination of algorithm constraint parameters.</description><subject>Algorithms</subject><subject>Aluminum</subject><subject>Calibration</subject><subject>Computed tomography</subject><subject>Computer simulation</subject><subject>Data models</subject><subject>Detectors</subject><subject>Energy measurement</subject><subject>Errors</subject><subject>Feasibility studies</subject><subject>Image detection</subject><subject>Image reconstruction</subject><subject>Iterative reconstruction</subject><subject>Low density polyethylenes</subject><subject>material decomposition</subject><subject>Mathematical models</subject><subject>Modelling</subject><subject>Muscles</subject><subject>Optimization</subject><subject>Parameters</subject><subject>Phantoms, Imaging</subject><subject>photon-counting</subject><subject>Photonics</subject><subject>Photons</subject><subject>Polyethylene</subject><subject>Polymethyl methacrylate</subject><subject>Polymethylmethacrylate</subject><subject>Polytetrafluoroethylene</subject><subject>Scaling</subject><subject>Spectra</subject><subject>spectral CT</subject><subject>Tissues</subject><subject>Tomography, X-Ray Computed</subject><subject>X-Rays</subject><issn>0278-0062</issn><issn>1558-254X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNpdkdGLEzEQxoMoXj19FwQJ-HIvWyfZJJt9Ec5eTw-uKFjBt5Bmp9c9djdrkpW7_96U1qI-JXzzm4-Z-Qh5zWDOGNTv16ubOQdWzbmqVVnqJ2TGpNQFl-LHUzIDXukCQPEz8iLGewAmJNTPyRnXolRa6hlpLum3EV0KtqOLNV1h2vmGJk-v2pDl7pEuY2p7m5B-tLGNdJW_oc30yo6RXgff0-XDmKUeh5Tlrzuf_FAs_DSkdrijVzbZl-TZ1nYRXx3fc_L9erlefC5uv3y6WVzeFk7KKhV2w60roeZCMcclNJVWDpFtuWKNBpSNELaUfKs3ilmFlWSAjcOmsW5TCVmekw8H33Ha9PvKsN_LjHk4Gx6Nt635tzK0O3PnfxmpQIhSZIOLo0HwPyeMyfRtdNh1dkA_RcN0nU8otNAZffcfeu-nMOT1DGeVELwGzjIFB8oFH2PA7WkYBmYfockRmn2E5hhhbnn79xKnhj-ZZeDNAWgR8VSualCKy_I3lu2gdQ</recordid><startdate>20170901</startdate><enddate>20170901</enddate><creator>Schmidt, Taly Gilat</creator><creator>Barber, Rina Foygel</creator><creator>Sidky, Emil Y.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>IEEE transactions on medical imaging</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Schmidt, Taly Gilat</au><au>Barber, Rina Foygel</au><au>Sidky, Emil Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Spectral CT Method to Directly Estimate Basis Material Maps From Experimental Photon-Counting Data</atitle><jtitle>IEEE transactions on medical imaging</jtitle><stitle>TMI</stitle><addtitle>IEEE Trans Med Imaging</addtitle><date>2017-09-01</date><risdate>2017</risdate><volume>36</volume><issue>9</issue><spage>1808</spage><epage>1819</epage><pages>1808-1819</pages><issn>0278-0062</issn><eissn>1558-254X</eissn><coden>ITMID4</coden><abstract>The proposed spectral CT method solves the constrained one-step spectral CT reconstruction (cOSSCIR) optimization problem to estimate basis material maps while modeling the nonlinear X-ray detection process and enforcing convex constraints on the basis map images. In order to apply the optimization-based reconstruction approach to experimental data, the presented method empirically estimates the effective energy-window spectra using a calibration procedure. The amplitudes of the estimated spectra were further optimized as part of the reconstruction process to reduce ring artifacts. A validation approach was developed to select constraint parameters. The proposed spectral CT method was evaluated through simulations and experiments with a photon-counting detector. Basis material map images were successfully reconstructed using the presented empirical spectral modeling and cOSSCIR optimization approach. In simulations, the cOSSCIR approach accurately reconstructed the basis map images (<;1% error). In experiments, the proposed method estimated the low-density polyethylene region of the basis maps with 0.5% error in the PMMA image and 4% error in the aluminum image. For the Teflon region, the experimental results demonstrated 8% and 31% error in the PMMA and aluminum basis material maps, respectively, compared with -24% and 126% error without estimation of the effective energy window spectra, with residual errors likely due to insufficient modeling of detector effects. The cOSSCIR algorithm estimated the material decomposition angle to within 1.3 degree error, where, for reference, the difference in angle between PMMA and muscle tissue is 2.1 degrees. The joint estimation of spectral-response scaling coefficients and basis material maps was found to reduce ring artifacts in both a phantom and tissue specimen. The presented validation procedure demonstrated feasibility for the automated determination of algorithm constraint parameters.</abstract><cop>United States</cop><pub>IEEE</pub><pmid>28436858</pmid><doi>10.1109/TMI.2017.2696338</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-9840-0963</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Algorithms Aluminum Calibration Computed tomography Computer simulation Data models Detectors Energy measurement Errors Feasibility studies Image detection Image reconstruction Iterative reconstruction Low density polyethylenes material decomposition Mathematical models Modelling Muscles Optimization Parameters Phantoms, Imaging photon-counting Photonics Photons Polyethylene Polymethyl methacrylate Polymethylmethacrylate Polytetrafluoroethylene Scaling Spectra spectral CT Tissues Tomography, X-Ray Computed X-Rays |
title | A Spectral CT Method to Directly Estimate Basis Material Maps From Experimental Photon-Counting Data |
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