Optical tomography on graphs. (English) Zbl 1368.65084
The authors present an algorithm for solving an inverse problem on graphs of recovering the potential from “boundary” data, which is analogous to that in diffuse optical tomography, and formulate and analyze a discrete version of the inverse Bonn series. They provide several theoretical results (convergence domain, approximation error, stability). The incorporation of structural a prior information into the reconstruction procedure is also discussed.
Reviewer: Bangti Jin (London)
MSC:
65J22 | Numerical solution to inverse problems in abstract spaces |
44A12 | Radon transform |
92C55 | Biomedical imaging and signal processing |
65R10 | Numerical methods for integral transforms |
65R32 | Numerical methods for inverse problems for integral equations |