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23 February 2009 An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography
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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.
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Hyun Keol Kim, Xuejun Gu, and Andreas H. Hielscher "An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography", Proc. SPIE 7174, Optical Tomography and Spectroscopy of Tissue VIII, 717429 (23 February 2009); https://doi.org/10.1117/12.809385
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