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
[Optical Society of America ]
(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
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)