Journal Article

PreJuSER-15496

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Direct numerical reconstruction of conductivities in three dimensions using scattering transforms

Bikowski, J.FZJ* ; Knudsen, K. ; Mueller, J. L.

2011
Inst. Bristol [u.a.]

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Please use a persistent id in citations: doi:10.1088/0266-5611/27/1/015002

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.

Keyword(s): J

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).

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Contributing Institute(s):

1. Agrosphäre (IBG-3)

Research Program(s):

1. Terrestrische Umwelt (P24)

Appears in the scientific report 2011

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