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arXiv · 1003.3764

Direct numerical reconstruction of conductivities in three dimensions

Jutta Bikowski·Kim Knudsen·Jennifer Mueller
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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 Calderón's linear reconstruction algorithm is established, and reconstructions using both methods are compared.

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Jutta Bikowski, Kim Knudsen, Jennifer Mueller. 2010-03-19. Direct numerical reconstruction of conductivities in three dimensions. https://arxiv.org/abs/1003.3764

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