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