Reconstructions in impedance and optical tomography with singular interfaces

@article{Bal2005ReconstructionsII,
  title={Reconstructions in impedance and optical tomography with singular interfaces},
  author={Guillaume Bal},
  journal={Inverse Problems},
  year={2005},
  volume={21},
  pages={113-131}
}
  • G. Bal
  • Published 1 February 2005
  • Mathematics
  • Inverse Problems
Singular layers modelled by a tangential diffusion process supported on an embedded closed surface (of co-dimension 1) have found applications in tomography problems. In optical tomography they may model the propagation of photons in thin clear layers, which are known to hamper the use of classical diffusion approximations. In impedance tomography they may be used to model thin regions of very high conductivity profile. In this paper we show that such surfaces can be reconstructed from boundary… 
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