2002
DOI: 10.1088/0031-9155/47/12/308
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Application of the photon average trajectories method to real-time reconstruction of tissue inhomogeneities in diffuse optical tomography of strongly scattering media

Abstract: The possibility of application of the photon average trajectories (PAT) method to real-time reconstruction of tissue inhomogeneities in diffuse optical tomography of strongly scattering media has been substantiated. By this method, the inverse problem is reduced to solution of the integral equation with integration along a conditional PAT. Such an approach allows the standard fast algebraic algorithms commonly used in projection computed tomography to be applied to diffuse optical image reconstruction. To demo… Show more

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Cited by 37 publications
(44 citation statements)
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“…At time moment τ = t this distribution forms a zone of the most probable trajectories of photons migrated from (r s ,0) to (r d ,t) . This zone is shaped as a banana (Lyubimov et al, 2002;Volkonskii et al, 1999) with vertices at the points of source and receiver localizations on the boundary of the scattering object. The effective width of this zone estimates the theoretical spatial resolution and is described by the standard rootmeansquare deviation of photon position from the PAT as follows (4) where R(τ ) is a radius-vector describing the PAT.…”
Section: Validation Of Linear Spatially Variant Blurring Modelmentioning
confidence: 99%
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“…At time moment τ = t this distribution forms a zone of the most probable trajectories of photons migrated from (r s ,0) to (r d ,t) . This zone is shaped as a banana (Lyubimov et al, 2002;Volkonskii et al, 1999) with vertices at the points of source and receiver localizations on the boundary of the scattering object. The effective width of this zone estimates the theoretical spatial resolution and is described by the standard rootmeansquare deviation of photon position from the PAT as follows (4) where R(τ ) is a radius-vector describing the PAT.…”
Section: Validation Of Linear Spatially Variant Blurring Modelmentioning
confidence: 99%
“…The total time is thus below 1 minute. The comparative analysis of computational speed presented in (Lyubimov et al, 2002) suggests that the use of the well-known package TOAST (Temporal Optical Absorption and Scattering Tomography, Schweiger & Arridge, 2008) which implements the Newton-Raphson algorithm will make the time of restoration several times longer. It should also be noted that there are good prospects for making the postprocessing procedure yet faster by using not MATLAB, but a faster programming environment and optimizing the measurement ratio.…”
Section: Examples Of Nonlinear Cf Application To Restored Tomogramsmentioning
confidence: 99%
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