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Conference Paper: A frequency-domain formulation of the Fréchet derivative to exploit the inherent parallelism of the distorted Born iterative method

TitleA frequency-domain formulation of the Fréchet derivative to exploit the inherent parallelism of the distorted Born iterative method
Authors
Issue Date2006
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/17455030.asp
Citation
Waves In Random And Complex Media, 2006, v. 16 n. 4, p. 495-508 How to Cite?
AbstractWith its consideration for nonlinear scattering phenomena, the distorted Born iterative method (DBIM) is known to provide images superior to those of linear tomographic methods. However, the complexity involved with the production of superior images has prevented DBIM from overtaking simpler imaging schemes in commercial applications. The iterative process and need to solve the forward-scattering problem multiple times make DBIM a slow algorithm compared to diffraction tomography. Fortunately, as computer prices continue to decline, it is becoming easier to assemble large, distributed computer clusters from low-cost personal computer systems. These are well-suited to DBIM inversions, and offer great promise in accelerating the method. Traditional frequency-domain DBIM formulations produce an image by inverting the Fréchet derivative. If the derivative is treated as a matrix, it is costly to construct and awkward to invert on distributed computer systems. This paper presents an interpretation of the Fŕchet derivative that is ideal for parallel-computing applications. As a bonus, this formulation reduces the storage requirements of DBIM implementations, making it possible to invert larger problems on a fixed system. © 2006 Taylor & Francis.
Persistent Identifierhttp://hdl.handle.net/10722/182971
ISSN
2015 Impact Factor: 1.061
2015 SCImago Journal Rankings: 0.578
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHesford, AJen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:17:55Z-
dc.date.available2013-05-02T05:17:55Z-
dc.date.issued2006en_US
dc.identifier.citationWaves In Random And Complex Media, 2006, v. 16 n. 4, p. 495-508en_US
dc.identifier.issn1745-5030en_US
dc.identifier.urihttp://hdl.handle.net/10722/182971-
dc.description.abstractWith its consideration for nonlinear scattering phenomena, the distorted Born iterative method (DBIM) is known to provide images superior to those of linear tomographic methods. However, the complexity involved with the production of superior images has prevented DBIM from overtaking simpler imaging schemes in commercial applications. The iterative process and need to solve the forward-scattering problem multiple times make DBIM a slow algorithm compared to diffraction tomography. Fortunately, as computer prices continue to decline, it is becoming easier to assemble large, distributed computer clusters from low-cost personal computer systems. These are well-suited to DBIM inversions, and offer great promise in accelerating the method. Traditional frequency-domain DBIM formulations produce an image by inverting the Fréchet derivative. If the derivative is treated as a matrix, it is costly to construct and awkward to invert on distributed computer systems. This paper presents an interpretation of the Fŕchet derivative that is ideal for parallel-computing applications. As a bonus, this formulation reduces the storage requirements of DBIM implementations, making it possible to invert larger problems on a fixed system. © 2006 Taylor & Francis.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/17455030.aspen_US
dc.relation.ispartofWaves in Random and Complex Mediaen_US
dc.titleA frequency-domain formulation of the Fréchet derivative to exploit the inherent parallelism of the distorted Born iterative methoden_US
dc.typeConference_Paperen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1080/17455030600675830en_US
dc.identifier.scopuseid_2-s2.0-33751117476en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33751117476&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume16en_US
dc.identifier.issue4en_US
dc.identifier.spage495en_US
dc.identifier.epage508en_US
dc.identifier.isiWOS:000242992500008-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridHesford, AJ=15065327600en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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