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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 2, Iss. 6 — Mar. 16, 1998
  • pp: 213–226

A gradient-based optimisation scheme for optical tomography

Simon R. Arridge and Martin Schweiger  »View Author Affiliations


Optics Express, Vol. 2, Issue 6, pp. 213-226 (1998)
http://dx.doi.org/10.1364/OE.2.000213


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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.

© Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.6920) Medical optics and biotechnology : Time-resolved imaging
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Focus Issue: Tomographic image reconstruction

History
Original Manuscript: January 20, 1998
Published: March 16, 1998

Citation
Simon Arridge and Martin Schweiger, "A gradient-based optimisation scheme foroptical tomography," Opt. Express 2, 213-226 (1998)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-2-6-213


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