COMPARING MR IMAGING PROPERTIES OF SPIRAL TRAJECTORIES USING THE SINGULAR SPECTRUM OF THE ANALYTICAL FOURIER BASIS CROSS-CORRELATION MATRIX
We compare fixed and variable density and randomized spiral trajectories for MR imaging in terms of PSF resolution and stopband ripple and noise amplification, with the singular value spectrum of the cross-correlation Fourier basis matrix as an analysis tool. We explain the rationale behind using th...
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1083 |
|---|---|
| container_issue | |
| container_start_page | 1080 |
| container_title | |
| container_volume | |
| creator | Afacan, O. Mitsouras, D. Brooks, D.H. Mulkern, R.V. Rybicki, F.J. |
| description | We compare fixed and variable density and randomized spiral trajectories for MR imaging in terms of PSF resolution and stopband ripple and noise amplification, with the singular value spectrum of the cross-correlation Fourier basis matrix as an analysis tool. We explain the rationale behind using that matrix and why its singular spectrum is meaningful. We show that the relative number of singular values above an easily determined threshold is an indicator of resolution, and the shape of the rest of the spectrum an indicator of noise vs. reconstruction accuracy tradeoffs. |
| doi_str_mv | 10.1109/ISBI.2007.357043 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_4193477</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>4193477</ieee_id><sourcerecordid>4193477</sourcerecordid><originalsourceid>FETCH-LOGICAL-i175t-22a3f3adad30fd381cf1101c79f6bfbb43d9699f8178e53c617bb2e5cdbbf1a73</originalsourceid><addsrcrecordid>eNo1kM1OwzAQhM2fRCm9I3HxC6T4N46PbpS2Rkkd2Y4EpypOYqkIJNRy4Rl4aRJR9rKj_WbmsAA8YLTEGMkn7VZ6SRASS8oFYvQCLKTIMCOMoVQQcglmWDKeZIyTK3D3DzC7PgMhSXYLFqfTGxqHSppyPgM_ualqZfVuAysLdaU2k6ytqQvrdeGgWUNXa6tK6K16LnJv7HRu3OTz2wJOoimVHW0jtU01RSagdqp89Tofo2vTjCkLV8ppB3NrnEtyY21RKq_NDlbKW_1yD25i-34aFuc9B8268Pk2Kc1mqkkOWPCvhJCWRtr2bU9R7GmGuzh-CHdCxjTEEBjtZSplzLDIBk67FIsQyMC7PoSIW0Hn4PGv9zAMw_7zePhoj997hiVlQtBfMj9dSw</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>COMPARING MR IMAGING PROPERTIES OF SPIRAL TRAJECTORIES USING THE SINGULAR SPECTRUM OF THE ANALYTICAL FOURIER BASIS CROSS-CORRELATION MATRIX</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Afacan, O. ; Mitsouras, D. ; Brooks, D.H. ; Mulkern, R.V. ; Rybicki, F.J.</creator><creatorcontrib>Afacan, O. ; Mitsouras, D. ; Brooks, D.H. ; Mulkern, R.V. ; Rybicki, F.J.</creatorcontrib><description>We compare fixed and variable density and randomized spiral trajectories for MR imaging in terms of PSF resolution and stopband ripple and noise amplification, with the singular value spectrum of the cross-correlation Fourier basis matrix as an analysis tool. We explain the rationale behind using that matrix and why its singular spectrum is meaningful. We show that the relative number of singular values above an easily determined threshold is an indicator of resolution, and the shape of the rest of the spectrum an indicator of noise vs. reconstruction accuracy tradeoffs.</description><identifier>ISSN: 1945-7928</identifier><identifier>ISBN: 1424406714</identifier><identifier>ISBN: 9781424406715</identifier><identifier>EISSN: 1945-8452</identifier><identifier>EISBN: 9781424406722</identifier><identifier>EISBN: 1424406722</identifier><identifier>DOI: 10.1109/ISBI.2007.357043</identifier><language>eng</language><subject>Hospitals ; Image analysis ; Image reconstruction ; Image resolution ; Image sampling ; Linear systems ; Magnetic resonance imaging ; Radio frequency ; Radiology ; Spirals</subject><ispartof>2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007, p.1080-1083</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4193477$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4193477$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Afacan, O.</creatorcontrib><creatorcontrib>Mitsouras, D.</creatorcontrib><creatorcontrib>Brooks, D.H.</creatorcontrib><creatorcontrib>Mulkern, R.V.</creatorcontrib><creatorcontrib>Rybicki, F.J.</creatorcontrib><title>COMPARING MR IMAGING PROPERTIES OF SPIRAL TRAJECTORIES USING THE SINGULAR SPECTRUM OF THE ANALYTICAL FOURIER BASIS CROSS-CORRELATION MATRIX</title><title>2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro</title><addtitle>ISBI</addtitle><description>We compare fixed and variable density and randomized spiral trajectories for MR imaging in terms of PSF resolution and stopband ripple and noise amplification, with the singular value spectrum of the cross-correlation Fourier basis matrix as an analysis tool. We explain the rationale behind using that matrix and why its singular spectrum is meaningful. We show that the relative number of singular values above an easily determined threshold is an indicator of resolution, and the shape of the rest of the spectrum an indicator of noise vs. reconstruction accuracy tradeoffs.</description><subject>Hospitals</subject><subject>Image analysis</subject><subject>Image reconstruction</subject><subject>Image resolution</subject><subject>Image sampling</subject><subject>Linear systems</subject><subject>Magnetic resonance imaging</subject><subject>Radio frequency</subject><subject>Radiology</subject><subject>Spirals</subject><issn>1945-7928</issn><issn>1945-8452</issn><isbn>1424406714</isbn><isbn>9781424406715</isbn><isbn>9781424406722</isbn><isbn>1424406722</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2007</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo1kM1OwzAQhM2fRCm9I3HxC6T4N46PbpS2Rkkd2Y4EpypOYqkIJNRy4Rl4aRJR9rKj_WbmsAA8YLTEGMkn7VZ6SRASS8oFYvQCLKTIMCOMoVQQcglmWDKeZIyTK3D3DzC7PgMhSXYLFqfTGxqHSppyPgM_ualqZfVuAysLdaU2k6ytqQvrdeGgWUNXa6tK6K16LnJv7HRu3OTz2wJOoimVHW0jtU01RSagdqp89Tofo2vTjCkLV8ppB3NrnEtyY21RKq_NDlbKW_1yD25i-34aFuc9B8268Pk2Kc1mqkkOWPCvhJCWRtr2bU9R7GmGuzh-CHdCxjTEEBjtZSplzLDIBk67FIsQyMC7PoSIW0Hn4PGv9zAMw_7zePhoj997hiVlQtBfMj9dSw</recordid><startdate>200704</startdate><enddate>200704</enddate><creator>Afacan, O.</creator><creator>Mitsouras, D.</creator><creator>Brooks, D.H.</creator><creator>Mulkern, R.V.</creator><creator>Rybicki, F.J.</creator><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200704</creationdate><title>COMPARING MR IMAGING PROPERTIES OF SPIRAL TRAJECTORIES USING THE SINGULAR SPECTRUM OF THE ANALYTICAL FOURIER BASIS CROSS-CORRELATION MATRIX</title><author>Afacan, O. ; Mitsouras, D. ; Brooks, D.H. ; Mulkern, R.V. ; Rybicki, F.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-22a3f3adad30fd381cf1101c79f6bfbb43d9699f8178e53c617bb2e5cdbbf1a73</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Hospitals</topic><topic>Image analysis</topic><topic>Image reconstruction</topic><topic>Image resolution</topic><topic>Image sampling</topic><topic>Linear systems</topic><topic>Magnetic resonance imaging</topic><topic>Radio frequency</topic><topic>Radiology</topic><topic>Spirals</topic><toplevel>online_resources</toplevel><creatorcontrib>Afacan, O.</creatorcontrib><creatorcontrib>Mitsouras, D.</creatorcontrib><creatorcontrib>Brooks, D.H.</creatorcontrib><creatorcontrib>Mulkern, R.V.</creatorcontrib><creatorcontrib>Rybicki, F.J.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Afacan, O.</au><au>Mitsouras, D.</au><au>Brooks, D.H.</au><au>Mulkern, R.V.</au><au>Rybicki, F.J.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>COMPARING MR IMAGING PROPERTIES OF SPIRAL TRAJECTORIES USING THE SINGULAR SPECTRUM OF THE ANALYTICAL FOURIER BASIS CROSS-CORRELATION MATRIX</atitle><btitle>2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro</btitle><stitle>ISBI</stitle><date>2007-04</date><risdate>2007</risdate><spage>1080</spage><epage>1083</epage><pages>1080-1083</pages><issn>1945-7928</issn><eissn>1945-8452</eissn><isbn>1424406714</isbn><isbn>9781424406715</isbn><eisbn>9781424406722</eisbn><eisbn>1424406722</eisbn><abstract>We compare fixed and variable density and randomized spiral trajectories for MR imaging in terms of PSF resolution and stopband ripple and noise amplification, with the singular value spectrum of the cross-correlation Fourier basis matrix as an analysis tool. We explain the rationale behind using that matrix and why its singular spectrum is meaningful. We show that the relative number of singular values above an easily determined threshold is an indicator of resolution, and the shape of the rest of the spectrum an indicator of noise vs. reconstruction accuracy tradeoffs.</abstract><doi>10.1109/ISBI.2007.357043</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISSN: 1945-7928 |
| ispartof | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007, p.1080-1083 |
| issn | 1945-7928 1945-8452 |
| language | eng |
| recordid | cdi_ieee_primary_4193477 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Hospitals Image analysis Image reconstruction Image resolution Image sampling Linear systems Magnetic resonance imaging Radio frequency Radiology Spirals |
| title | COMPARING MR IMAGING PROPERTIES OF SPIRAL TRAJECTORIES USING THE SINGULAR SPECTRUM OF THE ANALYTICAL FOURIER BASIS CROSS-CORRELATION MATRIX |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T07%3A24%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=COMPARING%20MR%20IMAGING%20PROPERTIES%20OF%20SPIRAL%20TRAJECTORIES%20USING%20THE%20SINGULAR%20SPECTRUM%20OF%20THE%20ANALYTICAL%20FOURIER%20BASIS%20CROSS-CORRELATION%20MATRIX&rft.btitle=2007%204th%20IEEE%20International%20Symposium%20on%20Biomedical%20Imaging:%20From%20Nano%20to%20Macro&rft.au=Afacan,%20O.&rft.date=2007-04&rft.spage=1080&rft.epage=1083&rft.pages=1080-1083&rft.issn=1945-7928&rft.eissn=1945-8452&rft.isbn=1424406714&rft.isbn_list=9781424406715&rft_id=info:doi/10.1109/ISBI.2007.357043&rft_dat=%3Cieee_6IE%3E4193477%3C/ieee_6IE%3E%3Curl%3E%3C/url%3E&rft.eisbn=9781424406722&rft.eisbn_list=1424406722&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=4193477&rfr_iscdi=true |