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Summary: A gradient-based optimisation scheme for
optical tomography
Simon R. Arridge
Dept. of Computer Science, University College London, Gower Street, London
WC1E 6B, UK
S.Arridge@cs.ucl.ac.uk
Martin Schweiger
Department of Medical Physics, University College London, WC1E 6JA, UK
martins@medphys.ucl.ac.uk
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
OCIS codes: (100.3190) Inverse problems; (110.6960) Tomography; (170.3010)
Image reconstructiontechniques; (170.3660) Light propagation in tissues; (170.6920)
Time-resolved imaging; (170.6960) Tomography
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