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

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
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

Other

Other	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

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

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10.1117/12.809385

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title = "An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography",

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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language = "English (US)",

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AU - Kim, Hyun Keol

AU - Gu, Xuejun

AU - Hielscher, Andreas H.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - BFGS

KW - CPU time

KW - PDE-constrained

KW - Reconstruction

KW - Sequential quadratic programming

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DO - 10.1117/12.809385

M3 - Conference contribution

AN - SCOPUS:65349130576

VL - 7174

BT - Progress in Biomedical Optics and Imaging - Proceedings of SPIE

T2 - Optical Tomography and Spectroscopy of Tissue VIII

Y2 - 25 January 2009 through 27 January 2009

ER -

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

Abstract

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Keywords

ASJC Scopus subject areas

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