Direct numerical reconstruction of conductivities in three dimensions

Details Direct numerical reconstruction of conductivities in three dimensions Direct numerical reconstruction of conductivities in three dimensions

2010-03-19

arxiv.org/abs/1003.3764v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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 Calder\'on's linear reconstruction algorithm is established, and reconstructions using both methods are compared.

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