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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

  • Vol. 20, Iss. 12 — Dec. 1, 2003
  • pp: 2355–2364

Generalized diffusion model in optical tomography with clear layers

Guillaume Bal and Kui Ren  »View Author Affiliations


JOSA A, Vol. 20, Issue 12, pp. 2355-2364 (2003)
http://dx.doi.org/10.1364/JOSAA.20.002355


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Abstract

We introduce a generalized diffusion equation that models the propagation of photons in highly scattering domains with thin nonscattering clear layers. Classical diffusion models break down in the presence of clear layers. The model that we propose accurately accounts for the clear-layer effects and has a computational cost comparable to that of classical diffusion. It is based on modeling the propagation in the clear layer as a local tangential diffusion process. It can be justified mathematically in the limit of small mean free paths and is shown numerically to be very accurate in two- and three-dimensional idealized cases. We believe that this model can be used as an accurate forward model in optical tomography.

© 2003 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.6960) Medical optics and biotechnology : Tomography
(170.7050) Medical optics and biotechnology : Turbid media

History
Original Manuscript: February 17, 2003
Revised Manuscript: July 15, 2003
Manuscript Accepted: August 20, 2003
Published: December 1, 2003

Citation
Guillaume Bal and Kui Ren, "Generalized diffusion model in optical tomography with clear layers," J. Opt. Soc. Am. A 20, 2355-2364 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-12-2355


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