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Article: D-eigenvalues of diffusion kurtosis tensors

TitleD-eigenvalues of diffusion kurtosis tensors
Authors
Qi, LWang, YWu, EX
KeywordsComputation
Diffusion kurtosis
Eigenvalues
Tensors
Issue Date2008
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam
Citation
Journal Of Computational And Applied Mathematics, 2008, v. 221 n. 1, p. 150-157 How to Cite?
DOI: http://dx.doi.org/10.1016/j.cam.2007.10.012
AbstractDiffusion kurtosis imaging (DKI) is a new model in medical engineering, where a diffusion kurtosis (DK) tensor is involved. A DK tensor is a fourth-order three-dimensional fully symmetric tensor. In this paper, we introduce D-eigenvalues for a DK tensor. The largest, the smallest and the average D-eigenvalues of a DK tensor correspond with the largest, the smallest and the average apparent kurtosis coefficients (AKC) of a water molecule in the space, respectively. We present their computational methods and discuss related anisotropy value of AKC. © 2007 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/73579
ISSN
0377-0427
2021 Impact Factor: 2.872
2020 SCImago Journal Rankings: 0.876
ISI Accession Number ID
WOS:000259945000012
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorQi, Len_HK
dc.contributor.authorWang, Yen_HK
dc.contributor.authorWu, EXen_HK
dc.date.accessioned2010-09-06T06:52:44Z-
dc.date.available2010-09-06T06:52:44Z-
dc.date.issued2008en_HK
dc.identifier.citationJournal Of Computational And Applied Mathematics, 2008, v. 221 n. 1, p. 150-157en_HK
dc.identifier.issn0377-0427en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73579-
dc.description.abstractDiffusion kurtosis imaging (DKI) is a new model in medical engineering, where a diffusion kurtosis (DK) tensor is involved. A DK tensor is a fourth-order three-dimensional fully symmetric tensor. In this paper, we introduce D-eigenvalues for a DK tensor. The largest, the smallest and the average D-eigenvalues of a DK tensor correspond with the largest, the smallest and the average apparent kurtosis coefficients (AKC) of a water molecule in the space, respectively. We present their computational methods and discuss related anisotropy value of AKC. © 2007 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/camen_HK
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_HK
dc.rightsJournal of Computational and Applied Mathematics. Copyright © Elsevier BV.en_HK
dc.subjectComputationen_HK
dc.subjectDiffusion kurtosisen_HK
dc.subjectEigenvaluesen_HK
dc.subjectTensorsen_HK
dc.titleD-eigenvalues of diffusion kurtosis tensorsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0377-0427&volume=&spage=&epage=&date=2008&atitle=D-eigenvalues+of+diffusion+kurtosis+tensorsen_HK
dc.identifier.emailWu, EX:ewu1@hkucc.hku.hken_HK
dc.identifier.authorityWu, EX=rp00193en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cam.2007.10.012en_HK
dc.identifier.scopuseid_2-s2.0-51249084984en_HK
dc.identifier.hkuros141494en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-51249084984&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume221en_HK
dc.identifier.issue1en_HK
dc.identifier.spage150en_HK
dc.identifier.epage157en_HK
dc.identifier.isiWOS:000259945000012-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridQi, L=7202149952en_HK
dc.identifier.scopusauthoridWang, Y=15836216400en_HK
dc.identifier.scopusauthoridWu, EX=7202128034en_HK
dc.identifier.issnl0377-0427-

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