<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Martinelli, Michele</style></author><author><style face="normal" font="default" size="100%">Gardner, Adam</style></author><author><style face="normal" font="default" size="100%">Cuccia, David</style></author><author><style face="normal" font="default" size="100%">Hayakawa, Carole</style></author><author><style face="normal" font="default" size="100%">Spanier, Jerome</style></author><author><style face="normal" font="default" size="100%">Venugopalan, Vasan</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Analysis of single Monte Carlo methods for prediction of reflectance from turbid media.</style></title><secondary-title><style face="normal" font="default" size="100%">Optics express</style></secondary-title><alt-title><style face="normal" font="default" size="100%">Opt Express</style></alt-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Computer Simulation</style></keyword><keyword><style  face="normal" font="default" size="100%">Fourier Analysis</style></keyword><keyword><style  face="normal" font="default" size="100%">Models, Theoretical</style></keyword><keyword><style  face="normal" font="default" size="100%">Monte Carlo Method</style></keyword><keyword><style  face="normal" font="default" size="100%">Nephelometry and Turbidimetry</style></keyword><keyword><style  face="normal" font="default" size="100%">Phantoms, Imaging</style></keyword><keyword><style  face="normal" font="default" size="100%">Photons</style></keyword><keyword><style  face="normal" font="default" size="100%">Scattering, Radiation</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011 Sep 26</style></date></pub-dates></dates><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">19627-42</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">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/.</style></abstract><issue><style face="normal" font="default" size="100%">20</style></issue><custom1><style face="normal" font="default" size="100%">http://www.ncbi.nlm.nih.gov/pubmed/21996904?dopt=Abstract</style></custom1></record></records></xml>