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Analysis of single Monte Carlo methods for prediction of reflectance from turbid media

Starting from the radiative transport equation we derive the scaling relationships that enable a single Monte Carlo (MC) simulation to predict the spatially- and temporally-resolved reflectance from homogeneous semi-infinite media with arbitrary scattering and absorption coefficients. This derivatio...

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Autores principales: Martinelli, Michele, Gardner, Adam, Cuccia, David, Hayakawa, Carole, Spanier, Jerome, Venugopalan, Vasan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Optical Society of America 2011
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3347703/
https://www.ncbi.nlm.nih.gov/pubmed/21996904
http://dx.doi.org/10.1364/OE.19.019627
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author Martinelli, Michele
Gardner, Adam
Cuccia, David
Hayakawa, Carole
Spanier, Jerome
Venugopalan, Vasan
author_facet Martinelli, Michele
Gardner, Adam
Cuccia, David
Hayakawa, Carole
Spanier, Jerome
Venugopalan, Vasan
author_sort Martinelli, Michele
collection PubMed
description Starting from the radiative transport equation we derive the scaling relationships that enable a single Monte Carlo (MC) simulation to predict the spatially- and temporally-resolved reflectance from homogeneous semi-infinite media with arbitrary scattering and absorption coefficients. This derivation shows that a rigorous application of this single Monte Carlo (sMC) approach requires the rescaling to be done individually for each photon biography. We examine the accuracy of the sMC method when processing simulations on an individual photon basis and also demonstrate the use of adaptive binning and interpolation using non-uniform rational B-splines (NURBS) to achieve order of magnitude reductions in the relative error as compared to the use of uniform binning and linear interpolation. This improved implementation for sMC simulation serves as a fast and accurate solver to address both forward and inverse problems and is available for use at http://www.virtualphotonics.org/.
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spelling pubmed-33477032012-09-26 Analysis of single Monte Carlo methods for prediction of reflectance from turbid media Martinelli, Michele Gardner, Adam Cuccia, David Hayakawa, Carole Spanier, Jerome Venugopalan, Vasan Opt Express Research-Article Starting from the radiative transport equation we derive the scaling relationships that enable a single Monte Carlo (MC) simulation to predict the spatially- and temporally-resolved reflectance from homogeneous semi-infinite media with arbitrary scattering and absorption coefficients. This derivation shows that a rigorous application of this single Monte Carlo (sMC) approach requires the rescaling to be done individually for each photon biography. We examine the accuracy of the sMC method when processing simulations on an individual photon basis and also demonstrate the use of adaptive binning and interpolation using non-uniform rational B-splines (NURBS) to achieve order of magnitude reductions in the relative error as compared to the use of uniform binning and linear interpolation. This improved implementation for sMC simulation serves as a fast and accurate solver to address both forward and inverse problems and is available for use at http://www.virtualphotonics.org/. Optical Society of America 2011-09-22 /pmc/articles/PMC3347703/ /pubmed/21996904 http://dx.doi.org/10.1364/OE.19.019627 Text en ©2011 Optical Society of America http://creativecommons.org/licenses/by-nc-nd/3.0 This is an open-access article distributed under the terms of the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License, which permits download and redistribution, provided that the original work is properly cited. This license restricts the article from being modified or used commercially.
spellingShingle Research-Article
Martinelli, Michele
Gardner, Adam
Cuccia, David
Hayakawa, Carole
Spanier, Jerome
Venugopalan, Vasan
Analysis of single Monte Carlo methods for prediction of reflectance from turbid media
title Analysis of single Monte Carlo methods for prediction of reflectance from turbid media
title_full Analysis of single Monte Carlo methods for prediction of reflectance from turbid media
title_fullStr Analysis of single Monte Carlo methods for prediction of reflectance from turbid media
title_full_unstemmed Analysis of single Monte Carlo methods for prediction of reflectance from turbid media
title_short Analysis of single Monte Carlo methods for prediction of reflectance from turbid media
title_sort analysis of single monte carlo methods for prediction of reflectance from turbid media
topic Research-Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3347703/
https://www.ncbi.nlm.nih.gov/pubmed/21996904
http://dx.doi.org/10.1364/OE.19.019627
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