Inverse problem in optical diffusion tomography III Inversion formulas and singular-value decomposition
- 1 May 2003
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 20 (5) , 890-902
- https://doi.org/10.1364/josaa.20.000890
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.Keywords
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