File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm

TitleFast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm
Authors
Issue Date2010
PublisherAcoustical Society of America. The Journal's web site is located at http://asa.aip.org/jasa.html
Citation
Journal Of The Acoustical Society Of America, 2010, v. 128 n. 2, p. 679-690 How to Cite?
AbstractThe distorted Born iterative method (DBIM) computes iterative solutions to nonlinear inverse scattering problems through successive linear approximations. By decomposing the scattered field into a superposition of scattering by an inhomogeneous background and by a material perturbation, large or high-contrast variations in medium properties can be imaged through iterations that are each subject to the distorted Born approximation. However, the need to repeatedly compute forward solutions still imposes a very heavy computational burden. To ameliorate this problem, the multilevel fast multipole algorithm (MLFMA) has been applied as a forward solver within the DBIM. The MLFMA computes forward solutions in linear time for volumetric scatterers. The typically regular distribution and shape of scattering elements in the inverse scattering problem allow the method to take advantage of data redundancy and reduce the computational demands of the normally expensive MLFMA setup. Additional benefits are gained by employing Kaczmarz-like iterations, where partial measurements are used to accelerate convergence. Numerical results demonstrate both the efficiency of the forward solver and the successful application of the inverse method to imaging problems with dimensions in the neighborhood of ten wavelengths. © 2010 Acoustical Society of America.
Persistent Identifierhttp://hdl.handle.net/10722/182773
ISSN
2015 Impact Factor: 1.572
2015 SCImago Journal Rankings: 0.938
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHesford, AJen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:47Z-
dc.date.available2013-05-02T05:16:47Z-
dc.date.issued2010en_US
dc.identifier.citationJournal Of The Acoustical Society Of America, 2010, v. 128 n. 2, p. 679-690en_US
dc.identifier.issn0001-4966en_US
dc.identifier.urihttp://hdl.handle.net/10722/182773-
dc.description.abstractThe distorted Born iterative method (DBIM) computes iterative solutions to nonlinear inverse scattering problems through successive linear approximations. By decomposing the scattered field into a superposition of scattering by an inhomogeneous background and by a material perturbation, large or high-contrast variations in medium properties can be imaged through iterations that are each subject to the distorted Born approximation. However, the need to repeatedly compute forward solutions still imposes a very heavy computational burden. To ameliorate this problem, the multilevel fast multipole algorithm (MLFMA) has been applied as a forward solver within the DBIM. The MLFMA computes forward solutions in linear time for volumetric scatterers. The typically regular distribution and shape of scattering elements in the inverse scattering problem allow the method to take advantage of data redundancy and reduce the computational demands of the normally expensive MLFMA setup. Additional benefits are gained by employing Kaczmarz-like iterations, where partial measurements are used to accelerate convergence. Numerical results demonstrate both the efficiency of the forward solver and the successful application of the inverse method to imaging problems with dimensions in the neighborhood of ten wavelengths. © 2010 Acoustical Society of America.en_US
dc.languageengen_US
dc.publisherAcoustical Society of America. The Journal's web site is located at http://asa.aip.org/jasa.htmlen_US
dc.relation.ispartofJournal of the Acoustical Society of Americaen_US
dc.subject.meshAlgorithmsen_US
dc.subject.meshModels, Theoreticalen_US
dc.subject.meshMotionen_US
dc.subject.meshNumerical Analysis, Computer-Assisteden_US
dc.subject.meshScattering, Radiationen_US
dc.subject.meshSignal Processing, Computer-Assisteden_US
dc.subject.meshSounden_US
dc.subject.meshTime Factorsen_US
dc.subject.meshUltrasonicsen_US
dc.titleFast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithmen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1121/1.3458856en_US
dc.identifier.pmid20707438-
dc.identifier.scopuseid_2-s2.0-77955834053en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955834053&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume128en_US
dc.identifier.issue2en_US
dc.identifier.spage679en_US
dc.identifier.epage690en_US
dc.identifier.isiWOS:000280769800022-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridHesford, AJ=15065327600en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats