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A gradient-based optimisation scheme for optical tomography

Arridge, SR; Schweiger, M; (1998) A gradient-based optimisation scheme for optical tomography. OPT EXPRESS , 2 (6) 213 - 226. Gold open access

Abstract

Optical tomography schemes using non-linear optimisation are usually based on a Newton-like method involving the construction and inversion of a large Jacobian matrix. Although such matrices can be efficiently constructed using a reciprocity principle, their inversion is still computationally difficult. In this paper we demonstrate a simple means to obtain the gradient of the objective function directly, leading to straightforward application of gradient-based optimisation methods. (C) 1998 Optical Society of America.

Type: Article
Title: A gradient-based optimisation scheme for optical tomography
Open access status: An open access publication
Publisher version: http://www.opticsexpress.org
Keywords: FINITE-ELEMENT-METHOD, MEASUREMENT DENSITY-FUNCTIONS, NEAR-INFRARED SPECTROSCOPY, TIME-OF-FLIGHT, TISSUE, RECONSTRUCTION, PATHLENGTH, MEDICINE, INFANTS, MEDIA
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science
UCL > School of BEAMS > Faculty of Engineering Science > Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/116679
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