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NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART II. APPLICATION WITH A L-BFGS ASSOCIATED TO AN INEXACT LINE SEARCH

DOI: 10.1615/ICHMT.2010.RAD-6.40
10 pages

Olivier F. Balima
Centre Universitaire de Rocherche sur I' Aluminium, Université du Québec a Chicoutimi, 555 Bd de l'Université Chicoutimi QC G7H 2B1Canada

Joan Boulanger
Gas Turbine Laboratory Institute for Aerospace Research - National Research Council Canada, Ottawa, ON, Canada, K1A 0R6

Andre Charette
Groupe de Recherche en Ingénierie des Procédés et Systèmes, Departement des Sciences Appliquées, Université du Québec à Chicoutimi, 555 Boulevard de l'Université, Chicoutimi, Québec, Canada, G7H 2B1

Daniel Marceau
Université du Québec à Chicoutimi, 555 Bd de l’Université Chicoutimi QC G7H 2B1Canada

Abstract

This second part deals with the application of the presented formulations for the reconstruction of optical properties in frequency domain optical tomography with the finite element method. We use the Limited memory BFGS algorithm with an inexact line search in order to avoid numerous evaluations of the objective function. Normalization of the objective function with measurements and independent scaling of its gradient are used to improve the quality of the reconstruction. The results show a better recovering of both the absorption and scattering coefficients.

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