New developments in frequency domain optical tomography. Part I: Forward model and gradient computation

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DOIResolve DOI: http://doi.org/10.1016/j.jqsrt.2010.08.030
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TypeArticle
Journal titleJournal of Quantitative Spectroscopy and Radiative Transfer
ISSN0022-4073
Volume112
Issue7
Pages12291234; # of pages: 6
SubjectAdjoint methods; Discrete ordinates; Finite elements; Frequency domain; Lagrangian formulation; Radiative transfer equation; Frequency domain analysis; Lagrange multipliers; Least squares approximations; Optical tomography; Radiative transfer; Time domain analysis; Finite element method; adjoint method; boundary condition; empirical analysis; finite element method; forward modeling; radiative transfer; tomography
AbstractThis two part study introduces new developments in frequency domain optical tomography to take into account the collimated source direction in the computation of both the forward and the adjoint models. The solution method is based on the least square finite element method associated to the discrete ordinates method where no empirical stabilization is needed. In this first part of the study, the solution method of the forward model is highlighted with an easy handling of complex boundary condition through a penalization method. Gradient computation from an adjoint method is developed rigorously in a continuous manner through a lagrangian formalism for the deduction of the adjoint equation and the gradient of the objective function. The proposed formulation can be easily generalized to stationary and time domain optical tomography by keeping the same expressions. © 2010 Elsevier Ltd.
Publication date
LanguageEnglish
AffiliationNational Research Council Canada (NRC-CNRC)
Peer reviewedYes
NPARC number21271652
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Record identifier5105ccfc-605e-4d52-8d89-82e32db13fe5
Record created2014-03-24
Record modified2016-05-09
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