Open AccessA numerical study of gradient-based nonlinear optimization methods for contrast enhanced optical tomography
Author(s) -
Ranadhir Roy,
Eva M. SevickMuraca
Publication year - 2001
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.9.000049
Subject(s) - conjugate gradient method , contrast (vision) , diffuse optical imaging , nonlinear conjugate gradient method , nonlinear system , optical tomography , attenuation coefficient , tomography , optics , set (abstract data type) , gradient method , computer science , mathematics , algorithm , physics , gradient descent , artificial intelligence , quantum mechanics , artificial neural network , programming language
Numerical performance of two gradient-based methods, a truncated-Newton method with trust region (TN) and a nonlinear conjugate gradient (NCG), is studied and compared for a given data set and conditions specific for the contrast enhanced optical tomography problem. Our results suggest that the relative performance of the two methods depends upon the error functions, specific to the problem to be solved. The TN outperforms the NCG when maps of fluorescence lifetime are reconstructed while both methods performed well when the absorption coefficient constitutes the parameter set that is to be recovered.