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dc.contributor.authorDavies, A.J.
dc.contributor.authorChristianson, B.
dc.contributor.authorDixon, Laurence
dc.contributor.authorRoy, R
dc.contributor.authorvan der Zee, P.
dc.date.accessioned2015-03-02T10:33:26Z
dc.date.available2015-03-02T10:33:26Z
dc.date.issued1997-06
dc.identifier.citationDavies , A J , Christianson , B , Dixon , L , Roy , R & van der Zee , P 1997 , ' Reverse differentiation and the inverse diffusion problem ' , Advances in Engineering Software , vol. 28 , no. 4 , pp. 217-221 . https://doi.org/10.1016/S0965-9978(97)00005-7
dc.identifier.issn0965-9978
dc.identifier.otherPURE: 8160632
dc.identifier.otherPURE UUID: 1c105ec8-9106-4c0a-bbb6-8d31957dd923
dc.identifier.otherScopus: 0031163121
dc.identifier.urihttp://hdl.handle.net/2299/15492
dc.description.abstractIn this paper the task of solving the inverse photon diffusion problem in human tissue will be discussed. In such problems the optical properties of the tissue are to be determined from a knowledge of measured values of boundary output fluxes. A finite element model is proposed for the solution process and the problem is posed as a least squares optimisation problem. An important and costly part of optimisation processes is the calculation of gradients of the merit function. It has been shown that for such problems the reverse differentiation process can be implemented very efficiently with significant savings in both computation time and store. In this paper we show that the finite element optimisation process with reverse differentiation is ideally suited to the solution of the inverse diffusion problem.en
dc.format.extent5
dc.language.isoeng
dc.relation.ispartofAdvances in Engineering Software
dc.titleReverse differentiation and the inverse diffusion problemen
dc.contributor.institutionSchool of Computer Science
dc.contributor.institutionCentre for Computer Science and Informatics Research
dc.description.statusPeer reviewed
rioxxterms.versionofrecordhttps://doi.org/10.1016/S0965-9978(97)00005-7
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


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