Transport-theory based multispectral imaging with PDE-constrained optimization

Hyun K. Kim, Molly Flexman, Darrell J. Yamashiro, Jessica J. Kandel, Andreas H. Hielscher

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We introduce here a transport-theory-based PDE-constrained multispectral imaging algorithm for direct reconstruction of the spatial distribution of chromophores in tissue. The method solves the forward and inverse problems simultaneously in the framework of a reduced Hessian sequential quadratic programming method. The performance of the new algorithm is evaluated using numerical and experimental studies involving tumor bearing mice. The results show that the PDE-constrained multispectral method leads to 15-fold acceleration in the image reconstruction of tissue chromophores when compared to the unconstrained multispectral approach and also gives more accurate results when compared to the traditional two-step method.

Original languageEnglish (US)
Title of host publicationOptical Tomography and Spectroscopy of Tissue IX
StatePublished - 2011
EventOptical Tomography and Spectroscopy of Tissue IX - San Francisco, CA, United States
Duration: Jan 23 2011Jan 26 2011

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
ISSN (Print)1605-7422


ConferenceOptical Tomography and Spectroscopy of Tissue IX
Country/TerritoryUnited States
CitySan Francisco, CA


  • Multispectral imaging
  • pde-constrained optimization
  • radiative transfer equation

ASJC Scopus subject areas

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


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