A Nonlinear inverse problem inspired by three-dimensional diffuse tomography: Explicit formulas
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abstract
We use time of flight information to obtain explicit inversion formulas for a simple model of optical tomography. This can be considered as an instance of a more general nonlinear inversion problem for multi-terminal networks. In this case the network is non-planar with lots of cycles but the underlying physical model yields a highly structured situation. 2003 Wiley Periodicals, Inc.