2006
DOI: 10.1088/0031-9155/51/3/003
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Diffuse photon propagation in multilayered geometries

Abstract: Diffuse optical tomography (DOT) is an emerging functional medical imaging modality which aims to recover the optical properties of biological tissue. The forward problem of the light propagation of DOT can be modelled in the frequency domain as a diffusion equation with Robin boundary conditions. In the case of multilayered geometries with piecewise constant parameters, the forward problem is equivalent to a set of coupled Helmholtz equations. In this paper, we present solutions for the multilayered diffuse l… Show more

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Cited by 52 publications
(48 citation statements)
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“…Toast also contains a modeling module using the boundary element method (BEM), 20 which allows efficient simulation of piecewise constant parameter distributions. This scheme has been applied to shape reconstruction of internal boundaries of regions with piecewise constant optical parameter values.…”
Section: Alternative Numerical Modeling Schemesmentioning
confidence: 99%
“…Toast also contains a modeling module using the boundary element method (BEM), 20 which allows efficient simulation of piecewise constant parameter distributions. This scheme has been applied to shape reconstruction of internal boundaries of regions with piecewise constant optical parameter values.…”
Section: Alternative Numerical Modeling Schemesmentioning
confidence: 99%
“…[30][31][32] The BEM was applied to the diffusion approximation under the assumption that the tissue being imaged contains homogeneous regions whose boundaries are known a priori (from MRI). 28,33 It reduces the dimensionality of the problem, requiring only surface rather than volume discretization in three dimension, which is significantly easier and more reliable to generate. Using this numerical model to solve the diffusion equation, unknown NIRS parameters can be reconstructed from boundary measurement of light amplitude and phase.…”
Section: Bem-based Multispectral Image Reconstructionmentioning
confidence: 99%
“…It is shown in [22,23] that applying a flow by a smooth vector field v(x) yields an infinitesimal response in this cost (58) that is given by…”
Section: Penalizing Volume or Area Of Shapementioning
confidence: 99%