Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition.
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.
Models, Theoretical↗