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

Hyun Keol Kim; Xuejun Gu; Andreas H. Hielscher

doi:10.1117/12.809385

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

Hyun Keol Kim, Xuejun Gu, Andreas H. Hielscher

Biomedical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	Progress in Biomedical Optics and Imaging - Proceedings of SPIE
Subtitle of host publication	Optical Tomography and Spectroscopy of Tissue VIII
Volume	7174
DOIs	https://doi.org/10.1117/12.809385
State	Published - 2009
Event	Optical Tomography and Spectroscopy of Tissue VIII - San Jose, CA, United States Duration: Jan 25 2009 → Jan 27 2009

Publication series

Name	Progress in Biomedical Optics and Imaging - Proceedings of SPIE
Publisher	SPIE
ISSN (Print)	1605-7422

Conference

Conference	Optical Tomography and Spectroscopy of Tissue VIII
Country/Territory	United States
City	San Jose, CA
Period	1/25/09 → 1/27/09

Keywords

BFGS
CPU time
PDE-constrained
Reconstruction
Sequential quadratic programming

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Biomaterials
Atomic and Molecular Physics, and Optics
Radiology Nuclear Medicine and imaging

Access to Document

10.1117/12.809385

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An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography. / Kim, Hyun Keol; Gu, Xuejun; Hielscher, Andreas H.
Progress in Biomedical Optics and Imaging - Proceedings of SPIE: Optical Tomography and Spectroscopy of Tissue VIII. Vol. 7174 2009. (Progress in Biomedical Optics and Imaging - Proceedings of SPIE).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kim, HK, Gu, X & Hielscher, AH 2009, An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography. in Progress in Biomedical Optics and Imaging - Proceedings of SPIE: Optical Tomography and Spectroscopy of Tissue VIII. vol. 7174, Progress in Biomedical Optics and Imaging - Proceedings of SPIE, Optical Tomography and Spectroscopy of Tissue VIII, San Jose, CA, United States, 1/25/09. https://doi.org/10.1117/12.809385

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

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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