TY  - JOUR
AU  - Bikowski, J.
AU  - Knudsen, K.
AU  - Mueller, J.L.
TI  - Direct numerical reconstruction of conductivities in three dimensions using scattering transforms
JO  - Inverse problems
VL  - 27
SN  - 0266-5611
CY  - Bristol [u.a.]
PB  - Inst.
M1  - PreJuSER-15496
SP  - 015002
PY  - 2011
N1  - 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).
AB  - 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.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000285410100002
DO  - DOI:10.1088/0266-5611/27/1/015002
UR  - https://juser.fz-juelich.de/record/15496
ER  -