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Proceedings Paper

An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography
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Paper Abstract

We introduce in this work a PDE-constrained approach to optical tomography that makes use of an all-atonce reduced Hessian Sequential Quadratic Programming (rSQP) scheme. The proposed scheme treats the forward and inverse variables independently, which makes it possible to update the radiation intensities and the optical coefficients simultaneously by solving the forward and inverse problems, all at once. We evaluate the performance of the proposed scheme with numerical and experimental data, and find that the rSQP scheme can reduce the computation time by a factor of 10 to 25, as compared to the commonly employed limited memory BFGS method.

Paper Details

Date Published: 23 February 2009
PDF: 9 pages
Proc. SPIE 7174, Optical Tomography and Spectroscopy of Tissue VIII, 717429 (23 February 2009); doi: 10.1117/12.809385
Show Author Affiliations
Hyun Keol Kim, Columbia Univ. (United States)
Xuejun Gu, Columbia Univ. (United States)
Andreas H. Hielscher, Columbia Univ. (United States)

Published in SPIE Proceedings Vol. 7174:
Optical Tomography and Spectroscopy of Tissue VIII
Bruce J. Tromberg; Arjun G. Yodh; Mamoru Tamura; Eva M. Sevick-Muraca; Robert R. Alfano, Editor(s)

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