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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. 18, Iss. 6 — Jun. 1, 2001
  • pp: 1336–1347

Inverse problem in optical diffusion tomography. I. Fourier–Laplace inversion formulas

Vadim A. Markel and John C. Schotland  »View Author Affiliations


JOSA A, Vol. 18, Issue 6, pp. 1336-1347 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001336


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Abstract

We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. Inversion formulas based on the Fourier–Laplace transform are used to establish the existence and uniqueness of solutions to this problem in planar, cylindrical, and spherical geometries.

© 2001 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
(170.6960) Medical optics and biotechnology : Tomography

History
Original Manuscript: April 21, 2000
Revised Manuscript: September 1, 2000
Manuscript Accepted: December 13, 2000
Published: June 1, 2001

Citation
Vadim A. Markel and John C. Schotland, "Inverse problem in optical diffusion tomography. I. Fourier–Laplace inversion formulas," J. Opt. Soc. Am. A 18, 1336-1347 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-6-1336

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