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 proceedingConference 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 languageEnglish (US)
Title of host publicationProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume7174
DOIs
StatePublished - 2009
EventOptical Tomography and Spectroscopy of Tissue VIII - San Jose, CA, United States
Duration: Jan 25 2009Jan 27 2009

Other

OtherOptical Tomography and Spectroscopy of Tissue VIII
CountryUnited States
CitySan Jose, CA
Period1/25/091/27/09

Fingerprint

Optical Tomography
quadratic programming
Optical tomography
Quadratic programming
tomography
Radiation
pulse detonation engines
Inverse problems
radiant flux density
Data storage equipment
coefficients

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

Cite this

Kim, H. K., Gu, X., & Hielscher, A. H. (2009). An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE (Vol. 7174). [717429] https://doi.org/10.1117/12.809385

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. Vol. 7174 2009. 717429.

Research output: Chapter in Book/Report/Conference proceedingConference 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. vol. 7174, 717429, Optical Tomography and Spectroscopy of Tissue VIII, San Jose, CA, United States, 1/25/09. https://doi.org/10.1117/12.809385
Kim HK, Gu X, Hielscher AH. An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 7174. 2009. 717429 https://doi.org/10.1117/12.809385
Kim, Hyun Keol ; Gu, Xuejun ; Hielscher, Andreas H. / An all-at-once reduced Hessian SQP algorithm for frequency domain optical tomography. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 7174 2009.
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