Analytical calculation of volumes-of-intersection for iterative, fully 3-D PET reconstruction
Use of iterative algorithms to reconstruct three-dimensional (3-D) positron emission tomography (PET) data requires the computation of the system probability matrix. The pure geometrical contribution can easily be approximated by the length-of-intersection (LOI) between lines-of-response (LOR) and i...
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| creator | Scheins, J.J. Boschen, F. Herzog, H. |
| description | Use of iterative algorithms to reconstruct three-dimensional (3-D) positron emission tomography (PET) data requires the computation of the system probability matrix. The pure geometrical contribution can easily be approximated by the length-of-intersection (LOI) between lines-of-response (LOR) and individual voxels. However, more accurate geometrical projectors are desirable. Therefore, we have developed a fast method for the analytical calculation of the 3-D shape and volume of volumes-of-intersection (VOI). This method provides an alternative robust projector with a uniformly continuous sampling of the image space. The enhanced calculation effort is facilitated by using several speedup techniques. Exploiting intrinsic symmetry relations and the sparseness of the system matrix allows to create an efficiently compressed matrix which can be precomputed and completely stored in memory. In addition, a new voxel addressing scheme has been implemented. This scheme avoids time-consuming symmetry transformations of voxel addresses by using an octant-wise symmetrically ordered field of voxels. The above methods have been applied for a fully 3-D, iterative reconstruction of 3-D sinograms recorded with a Siemens/CTI ECAT HR+ PET scanner. A comparison of the performance of the reconstruction using LOI weighting and VOI weighting is presented |
| doi_str_mv | 10.1109/TMI.2006.880679 |
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The pure geometrical contribution can easily be approximated by the length-of-intersection (LOI) between lines-of-response (LOR) and individual voxels. However, more accurate geometrical projectors are desirable. Therefore, we have developed a fast method for the analytical calculation of the 3-D shape and volume of volumes-of-intersection (VOI). This method provides an alternative robust projector with a uniformly continuous sampling of the image space. The enhanced calculation effort is facilitated by using several speedup techniques. Exploiting intrinsic symmetry relations and the sparseness of the system matrix allows to create an efficiently compressed matrix which can be precomputed and completely stored in memory. In addition, a new voxel addressing scheme has been implemented. This scheme avoids time-consuming symmetry transformations of voxel addresses by using an octant-wise symmetrically ordered field of voxels. The above methods have been applied for a fully 3-D, iterative reconstruction of 3-D sinograms recorded with a Siemens/CTI ECAT HR+ PET scanner. A comparison of the performance of the reconstruction using LOI weighting and VOI weighting is presented</description><identifier>ISSN: 0278-0062</identifier><identifier>EISSN: 1558-254X</identifier><identifier>DOI: 10.1109/TMI.2006.880679</identifier><identifier>PMID: 17024839</identifier><identifier>CODEN: ITMID4</identifier><language>eng</language><publisher>United States: IEEE</publisher><subject>Algorithm design and analysis ; Algorithms ; Biomedical imaging ; Brain - diagnostic imaging ; Humans ; Image Enhancement - methods ; Image Interpretation, Computer-Assisted - methods ; Image quality ; Image reconstruction ; Image sampling ; Imaging, Three-Dimensional - methods ; Information Storage and Retrieval - methods ; Iterative methods ; Iterative reconstruction ; memory-resident system matrix ; Positron emission tomography ; positron emission tomography (PET) ; Positron-Emission Tomography - methods ; Probability ; Reproducibility of Results ; Sensitivity and Specificity ; Shape ; Studies ; Symmetric matrices ; symmetries ; volumes-of-intersection (VOI)</subject><ispartof>IEEE transactions on medical imaging, 2006-10, Vol.25 (10), p.1363-1369</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2006</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c446t-d17d0e73310d62be5092eca6bfb44bfc43d146aef8f63f09e76f42cbde9e647d3</citedby><cites>FETCH-LOGICAL-c446t-d17d0e73310d62be5092eca6bfb44bfc43d146aef8f63f09e76f42cbde9e647d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1704894$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1704894$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/17024839$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Scheins, J.J.</creatorcontrib><creatorcontrib>Boschen, F.</creatorcontrib><creatorcontrib>Herzog, H.</creatorcontrib><title>Analytical calculation of volumes-of-intersection for iterative, fully 3-D PET reconstruction</title><title>IEEE transactions on medical imaging</title><addtitle>TMI</addtitle><addtitle>IEEE Trans Med Imaging</addtitle><description>Use of iterative algorithms to reconstruct three-dimensional (3-D) positron emission tomography (PET) data requires the computation of the system probability matrix. The pure geometrical contribution can easily be approximated by the length-of-intersection (LOI) between lines-of-response (LOR) and individual voxels. However, more accurate geometrical projectors are desirable. Therefore, we have developed a fast method for the analytical calculation of the 3-D shape and volume of volumes-of-intersection (VOI). This method provides an alternative robust projector with a uniformly continuous sampling of the image space. The enhanced calculation effort is facilitated by using several speedup techniques. Exploiting intrinsic symmetry relations and the sparseness of the system matrix allows to create an efficiently compressed matrix which can be precomputed and completely stored in memory. In addition, a new voxel addressing scheme has been implemented. This scheme avoids time-consuming symmetry transformations of voxel addresses by using an octant-wise symmetrically ordered field of voxels. The above methods have been applied for a fully 3-D, iterative reconstruction of 3-D sinograms recorded with a Siemens/CTI ECAT HR+ PET scanner. A comparison of the performance of the reconstruction using LOI weighting and VOI weighting is presented</description><subject>Algorithm design and analysis</subject><subject>Algorithms</subject><subject>Biomedical imaging</subject><subject>Brain - diagnostic imaging</subject><subject>Humans</subject><subject>Image Enhancement - methods</subject><subject>Image Interpretation, Computer-Assisted - methods</subject><subject>Image quality</subject><subject>Image reconstruction</subject><subject>Image sampling</subject><subject>Imaging, Three-Dimensional - methods</subject><subject>Information Storage and Retrieval - methods</subject><subject>Iterative methods</subject><subject>Iterative reconstruction</subject><subject>memory-resident system matrix</subject><subject>Positron emission tomography</subject><subject>positron emission tomography (PET)</subject><subject>Positron-Emission Tomography - methods</subject><subject>Probability</subject><subject>Reproducibility of Results</subject><subject>Sensitivity and Specificity</subject><subject>Shape</subject><subject>Studies</subject><subject>Symmetric matrices</subject><subject>symmetries</subject><subject>volumes-of-intersection (VOI)</subject><issn>0278-0062</issn><issn>1558-254X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><sourceid>EIF</sourceid><recordid>eNqF0ctr3DAQB2BRGppN0nMOhWJySC71Ro-xHsclrwYSksMWeinGlkfgoLVSyQ7sf19tdqElh-YghJhPM0I_Qo4ZnTNGzfny_nbOKZVzralU5gOZsarSJa_g50cyo1zpMlf5PjlI6YlSBhU1n8g-U5SDFmZGfi2Gxq_H3ja-yMtOvhn7MBTBFS_BTytMZXBlP4wYE9rXkgux6PM5wxf8VrjJ-3Uhysvi8WpZRLRhSGOcXu0R2XONT_h5tx-SH9dXy4vv5d3Dze3F4q60AHIsO6Y6ikoIRjvJW8yP5Ggb2boWoHUWRMdANui0k8JRg0o64Lbt0KAE1YlDcrbt-xzD7wnTWK_6ZNH7ZsAwpVorYIYBqCxP_yulNoJqqN6FnHLNtdnAkzfwKUwx_2oeKytZgZIso_MtsjGkFNHVz7FfNXFdM1pvkqxzkvUmyXqbZL7xddd2alfY_fW76DL4sgU9Iv5bBm1A_AEvgaI5</recordid><startdate>20061001</startdate><enddate>20061001</enddate><creator>Scheins, J.J.</creator><creator>Boschen, F.</creator><creator>Herzog, H.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QF</scope><scope>7QO</scope><scope>7QQ</scope><scope>7SC</scope><scope>7SE</scope><scope>7SP</scope><scope>7SR</scope><scope>7TA</scope><scope>7TB</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>JG9</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>NAPCQ</scope><scope>P64</scope><scope>7X8</scope></search><sort><creationdate>20061001</creationdate><title>Analytical calculation of volumes-of-intersection for iterative, fully 3-D PET reconstruction</title><author>Scheins, J.J. ; Boschen, F. ; Herzog, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c446t-d17d0e73310d62be5092eca6bfb44bfc43d146aef8f63f09e76f42cbde9e647d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Algorithm design and analysis</topic><topic>Algorithms</topic><topic>Biomedical imaging</topic><topic>Brain - diagnostic imaging</topic><topic>Humans</topic><topic>Image Enhancement - methods</topic><topic>Image Interpretation, Computer-Assisted - methods</topic><topic>Image quality</topic><topic>Image reconstruction</topic><topic>Image sampling</topic><topic>Imaging, Three-Dimensional - methods</topic><topic>Information Storage and Retrieval - methods</topic><topic>Iterative methods</topic><topic>Iterative reconstruction</topic><topic>memory-resident system matrix</topic><topic>Positron emission tomography</topic><topic>positron emission tomography (PET)</topic><topic>Positron-Emission Tomography - methods</topic><topic>Probability</topic><topic>Reproducibility of Results</topic><topic>Sensitivity and Specificity</topic><topic>Shape</topic><topic>Studies</topic><topic>Symmetric matrices</topic><topic>symmetries</topic><topic>volumes-of-intersection (VOI)</topic><toplevel>online_resources</toplevel><creatorcontrib>Scheins, J.J.</creatorcontrib><creatorcontrib>Boschen, F.</creatorcontrib><creatorcontrib>Herzog, H.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Aluminium Industry Abstracts</collection><collection>Biotechnology Research Abstracts</collection><collection>Ceramic Abstracts</collection><collection>Computer and Information Systems Abstracts</collection><collection>Corrosion Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>Materials Business File</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Nursing & Allied Health Premium</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>IEEE transactions on medical imaging</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Scheins, J.J.</au><au>Boschen, F.</au><au>Herzog, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical calculation of volumes-of-intersection for iterative, fully 3-D PET reconstruction</atitle><jtitle>IEEE transactions on medical imaging</jtitle><stitle>TMI</stitle><addtitle>IEEE Trans Med Imaging</addtitle><date>2006-10-01</date><risdate>2006</risdate><volume>25</volume><issue>10</issue><spage>1363</spage><epage>1369</epage><pages>1363-1369</pages><issn>0278-0062</issn><eissn>1558-254X</eissn><coden>ITMID4</coden><abstract>Use of iterative algorithms to reconstruct three-dimensional (3-D) positron emission tomography (PET) data requires the computation of the system probability matrix. 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| subjects | Algorithm design and analysis Algorithms Biomedical imaging Brain - diagnostic imaging Humans Image Enhancement - methods Image Interpretation, Computer-Assisted - methods Image quality Image reconstruction Image sampling Imaging, Three-Dimensional - methods Information Storage and Retrieval - methods Iterative methods Iterative reconstruction memory-resident system matrix Positron emission tomography positron emission tomography (PET) Positron-Emission Tomography - methods Probability Reproducibility of Results Sensitivity and Specificity Shape Studies Symmetric matrices symmetries volumes-of-intersection (VOI) |
| title | Analytical calculation of volumes-of-intersection for iterative, fully 3-D PET reconstruction |
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