Direct numerical reconstruction of conductivities in three dimensions - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: A direct three dimensional EIT reconstruction algorithm based on complexgeometrical optics solutions and a nonlinear scattering transform is presentedand implemented for spherically symmetric conductivity distributions. Thescattering transform is computed both with a Born approximation and from theforward problem for purposes of comparison. Reconstructions are computed forseveral test problems. A connection to Calder\-on-s linear reconstructionalgorithm is established, and reconstructions using both methods are compared.



Author: Jutta Bikowski, Kim Knudsen, Jennifer Mueller

Source: https://arxiv.org/







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