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


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
StatePublished - 2009
EventOptical Tomography and Spectroscopy of Tissue VIII - San Jose, CA, United States
Duration: Jan 25 2009Jan 27 2009


OtherOptical Tomography and Spectroscopy of Tissue VIII
Country/TerritoryUnited States
CitySan Jose, CA


  • 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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