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Journal of Biomedical Optics • Open Access

Optimal estimation reconstruction of the optical properties of a two-layered tissue phantom from time-resolved single-distance measurements
Author(s): Fabrizio Martelli; Samuele Del Bianco; Lorenzo Spinelli; Stefano Cavalieri; Paola Di Ninni; Tiziano Binzoni; Alexander Jelzow; Rainer Macdonald; Heidrun Wabnitz

Paper Abstract

In this work, we have tested the optimal estimation (OE) algorithm for the reconstruction of the optical properties of a two-layered liquid tissue phantom from time-resolved single-distance measurements. The OE allows <italic<a priori</italic< information, in particular on the range of variation of fit parameters, to be included. The purpose of the present investigations was to compare the performance of OE with the Levenberg–Marquardt method for a geometry and real experimental conditions typically used to reconstruct the optical properties of biological tissues such as muscle and brain. The absorption coefficient of the layers was varied in a range of values typical for biological tissues. The reconstructions performed demonstrate the substantial improvements achievable with the OE provided <italic<a priori</italic< information is available. We note the extreme reliability, robustness, and accuracy of the retrieved absorption coefficient of the second layer obtained with the OE that was found for up to six fit parameters, with an error in the retrieved values of less than 10%. <italic<A priori</italic< information on fit parameters and fixed forward model parameters clearly improves robustness and accuracy of the inversion procedure.

Paper Details

Date Published: 2 November 2015
PDF: 12 pages
J. Biomed. Opt. 20(11) 115001 doi: 10.1117/1.JBO.20.11.115001
Published in: Journal of Biomedical Optics Volume 20, Issue 11
Show Author Affiliations
Fabrizio Martelli, Univ. degli Studi di Firenze (Italy)
Samuele Del Bianco, Istituto di Fisica Applicata "Nello Carrara" (Italy)
Lorenzo Spinelli, Istituto di Fotonica e Nanotecnologie (Italy)
Stefano Cavalieri, Univ. degli Studi di Firenze (Italy)
Paola Di Ninni, Univ. degli Studi di Firenze (Italy)
Tiziano Binzoni, Univ. de Genève (Switzerland)
Univ. Hospital (Switzerland)
Alexander Jelzow, Physikalisch-Technische Bundesanstalt (Germany)
Rainer Macdonald, Physikalisch-Technische Bundesanstalt (Germany)
Heidrun Wabnitz, Physikalisch-Technische Bundesanstalt (Germany)


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