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Article: Principal invariants and inherent parameters of diffusion kurtosis tensors

TitlePrincipal invariants and inherent parameters of diffusion kurtosis tensors
Authors
KeywordsAverage apparent kurtosis coefficient values
Diffusion kurtosis tensors
Eigenvalues
Inherent parameters
Invariants
Issue Date2009
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa
Citation
Journal Of Mathematical Analysis And Applications, 2009, v. 349 n. 1, p. 165-180 How to Cite?
AbstractA diffusion kurtosis (DK) tensor is a fourth order three-dimensional fully symmetric tensor, which is used in diffusion kurtosis imaging (DKI), a new model in medical engineering. To understand the biological and clinical meaning of the DK tensor, we have to measure and calculate some quantities and parameters which are independent from coordinate system choices. In this paper we study such quantities and parameters. They include the largest, the smallest and the average apparent kurtosis coefficients (AKC) values, which are invariant from the coordinate system choices, and some parameters measured in the inherent coordinate system, which is formed by the eigenvector system of the second order diffusion tensor. We study their computational formulas and relationships. © 2008 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/58845
ISSN
2015 Impact Factor: 1.014
2015 SCImago Journal Rankings: 1.161
ISI Accession Number ID
Funding AgencyGrant Number
Research Grant Council of Hong Kong
Funding Information:

This work was supported by the Research Grant Council of Hong Kong and a Chair Professor Fund of The Hong Kong Polytechnic University.

References

 

DC FieldValueLanguage
dc.contributor.authorQi, Len_HK
dc.contributor.authorHan, Den_HK
dc.contributor.authorWu, EXen_HK
dc.date.accessioned2010-05-31T03:37:55Z-
dc.date.available2010-05-31T03:37:55Z-
dc.date.issued2009en_HK
dc.identifier.citationJournal Of Mathematical Analysis And Applications, 2009, v. 349 n. 1, p. 165-180en_HK
dc.identifier.issn0022-247Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/58845-
dc.description.abstractA diffusion kurtosis (DK) tensor is a fourth order three-dimensional fully symmetric tensor, which is used in diffusion kurtosis imaging (DKI), a new model in medical engineering. To understand the biological and clinical meaning of the DK tensor, we have to measure and calculate some quantities and parameters which are independent from coordinate system choices. In this paper we study such quantities and parameters. They include the largest, the smallest and the average apparent kurtosis coefficients (AKC) values, which are invariant from the coordinate system choices, and some parameters measured in the inherent coordinate system, which is formed by the eigenvector system of the second order diffusion tensor. We study their computational formulas and relationships. © 2008 Elsevier Inc. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaaen_HK
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsen_HK
dc.subjectAverage apparent kurtosis coefficient valuesen_HK
dc.subjectDiffusion kurtosis tensorsen_HK
dc.subjectEigenvaluesen_HK
dc.subjectInherent parametersen_HK
dc.subjectInvariantsen_HK
dc.titlePrincipal invariants and inherent parameters of diffusion kurtosis tensorsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-247X&volume=349&spage=165&epage=180&date=2009&atitle=Principal+invariants+and+inherent+parameters+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.jmaa.2008.08.049en_HK
dc.identifier.scopuseid_2-s2.0-52749083417en_HK
dc.identifier.hkuros161925en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-52749083417&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume349en_HK
dc.identifier.issue1en_HK
dc.identifier.spage165en_HK
dc.identifier.epage180en_HK
dc.identifier.isiWOS:000260188000015-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridQi, L=7202149952en_HK
dc.identifier.scopusauthoridHan, D=7403219591en_HK
dc.identifier.scopusauthoridWu, EX=7202128034en_HK
dc.identifier.citeulike9070596-

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