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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3456–3466

Reconstructing a thin absorbing obstacle in a half-space of tissue

Pedro González-Rodríguez, Arnold D. Kim, and Miguel Moscoso  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3456-3466 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003456


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Abstract

We solve direct and inverse obstacle-scattering problems in a half-space composed of a uniform absorbing and scattering medium. Scattering is sharply forward-peaked, so we use the modified Fokker–Planck approximation to the radiative transport equation. The obstacle is an absorbing inhomogeneity that is thin with respect to depth. Using the first Born approximation, we derive a method to recover the depth and shape of the absorbing obstacle. This method requires only plane-wave illumination at two incidence angles and a detector with a fixed numerical aperture. First we recover the depth of the obstacle through solution of a simple nonlinear least-squares problem. Using that depth, we compute a point-spread function explicitly. We use that point-spread function in a standard deconvolution algorithm to reconstruct the shape of the obstacle. Numerical results show the utility of this method even in the presence of measurement noise.

© 2007 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(290.3200) Scattering : Inverse scattering

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: April 11, 2007
Revised Manuscript: August 17, 2007
Manuscript Accepted: August 22, 2007
Published: October 10, 2007

Virtual Issues
Vol. 2, Iss. 12 Virtual Journal for Biomedical Optics

Citation
Pedro González-Rodríguez, Arnold D. Kim, and Miguel Moscoso, "Reconstructing a thin absorbing obstacle in a half-space of tissue," J. Opt. Soc. Am. A 24, 3456-3466 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3456

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