In this work we introduce an analytical way of computing the photon measurement density functions in multilayered flat and spherical media. Comparisons with Monte Carlo simulations in the particular case of two-layered media show very good agreement (differences below 10%), with the additional advantage that the time taken by the theoretical calculations is several orders of magnitude (more than 6) lower than the corresponding Monte Carlo calculations.
KEYWORDS: Spherical lenses, Data modeling, Near infrared, Head, Multilayers, Monte Carlo methods, Magnetic resonance imaging, Absorption, Skull, Photons
We compare flat and spherical models of the human head using Bayesian inference. Monte Carlo simulations are used to obtain the photons times of flight. Results suggest that the spherical model better represents the data.
We introduce an implementation of the Extended Kalman Filter for the retrieval of absorption coefficients in layered turbid media. The technique was validated with experiments in a liquid phantom.
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