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- W2113161057 abstract "Diffuse tomography refers to the use of probes in the infrared part of the energy spectrum to obtain images of highly scattering media. There are important potential medical applications and a host of difficult mathematical issues in connection with this highly nonlinear inverse problem. Taking into account scattering gives a problem with many more unknowns, as well as pieces of data, than in the simpler linearized situation. The aim of this paper is to show that in some very simplified discrete model, reckoning with scattering gives an inversion problem whose solution can be reduced to that of a finite number of linear inversion problems. We see here that at least for the model in question, the proportion of variables that can be solved for is higher in the nonlinear case than in the linear one. We also notice that this gives a highly nontrivial problem in what can be called network tomography." @default.
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- W2113161057 date "2002-01-01" @default.
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- W2113161057 title "Diffuse Tomography as a Source of Challenging Nonlinear Inverse Problems for a General Class of Networks" @default.
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