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Biomedical Optics Express

Biomedical Optics Express

  • Editor: Joseph A. Izatt
  • Vol. 1, Iss. 3 — Oct. 1, 2010
  • pp: 812–824

PDE-constrained multispectral imaging of tissue chromophores with the equation of radiative transfer

Hyun Keol Kim, Molly Flexman, Darrell J. Yamashiro, Jessica J. Kandel, and Andreas H. Hielscher  »View Author Affiliations


Biomedical Optics Express, Vol. 1, Issue 3, pp. 812-824 (2010)
http://dx.doi.org/10.1364/BOE.1.000812


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Abstract

We introduce a transport-theory-based PDE-constrained multispectral model for direct imaging of the spatial distributions of chromophores concentrations in biological tissue. The method solves the forward problem (boundary radiance at each wavelength) and the inverse problem (spatial distribution of chromophores concentrations), in an all-at-once manner in the framework of a reduced Hessian sequential quadratic programming method. To illustrate the code’s performance, we present numerical and experimental studies involving tumor bearing mice. It is shown that the PDE-constrained multispectral method accelerates the reconstruction process by up to 15 times compared to unconstrained reconstruction algorithms and provides more accurate results as compared to the so-called two-step approach to multi-wavelength imaging.

© 2010 OSA

OCIS Codes
(170.5280) Medical optics and biotechnology : Photon migration
(110.4234) Imaging systems : Multispectral and hyperspectral imaging
(110.6955) Imaging systems : Tomographic imaging

ToC Category:
Image Reconstruction and Inverse Problems

History
Original Manuscript: June 14, 2010
Revised Manuscript: August 25, 2010
Manuscript Accepted: September 7, 2010
Published: September 8, 2010

Virtual Issues
Optical Imaging and Spectroscopy (2010) Biomedical Optics Express

Citation
Hyun Keol Kim, Molly Flexman, Darrell J. Yamashiro, Jessica J. Kandel, and Andreas H. Hielscher, "PDE-constrained multispectral imaging of tissue chromophores with the equation of radiative transfer," Biomed. Opt. Express 1, 812-824 (2010)
http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-1-3-812


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