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@ARTICLE{Bikowski:15496,
      author       = {Bikowski, J. and Knudsen, K. and Mueller, J.L.},
      title        = {{D}irect numerical reconstruction of conductivities in
                      three dimensions using scattering transforms},
      journal      = {Inverse problems},
      volume       = {27},
      issn         = {0266-5611},
      address      = {Bristol [u.a.]},
      publisher    = {Inst.},
      reportid     = {PreJuSER-15496},
      pages        = {015002},
      year         = {2011},
      note         = {The authors thank D Isaacson and G Boverman for helpful
                      discussions on the spherical harmonics. This material is
                      based upon work supported by the National Science Foundation
                      under grant no 0513509 (JM).},
      abstract     = {A direct three-dimensional EIT reconstruction algorithm
                      based on complex geometrical optics solutions and a
                      nonlinear scattering transform is presented and implemented
                      for spherically symmetric conductivity distributions. The
                      scattering transform is computed both with a Born
                      approximation and from the forward problem for purposes of
                      comparison. Reconstructions are computed for several test
                      problems. A connection to Calderon's linear reconstruction
                      algorithm is established, and reconstructions using both
                      methods are compared.},
      keywords     = {J (WoSType)},
      cin          = {IBG-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IBG-3-20101118},
      pnm          = {Terrestrische Umwelt},
      pid          = {G:(DE-Juel1)FUEK407},
      shelfmark    = {Mathematics, Applied / Physics, Mathematical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000285410100002},
      doi          = {10.1088/0266-5611/27/1/015002},
      url          = {https://juser.fz-juelich.de/record/15496},
}