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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. 5 — May. 1, 2003
  • pp: 890–902

Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition

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


JOSA A, Vol. 20, Issue 5, pp. 890-902 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000890


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Abstract

We continue our study of the inverse scattering problem for diffuse light. In particular, we derive inversion formulas for this problem that are based on the functional singular-value decomposition of the linearized forward-scattering operator in the slab, cylindrical, and spherical geometries. Computer simulations are used to illustrate our results in model systems.

© 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
(170.6960) Medical optics and biotechnology : Tomography

Citation
Vadim A. Markel, Vivek Mital, and John C. Schotland, "Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition," J. Opt. Soc. Am. A 20, 890-902 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-5-890

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