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.
Markel
Vadim A
VA
Department of Radiology, Washington University, St. Louis, Missouri 63110, USA. vmarkel@altai.wustl.edu
Mital
Vivek
V
Schotland
John C
JC
D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D055095:Optics and Photonics; D014054:Tomography