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The born approximation and Calderón's method for reconstruction of conductivities in 3-D
Two algorithms for the direct reconstruction of conductivities in
a bounded domain in $\mathbb{R}^3$ from surface measurements of the solutions to the
conductivity equation are presented. The algorithms are based on complex
geometrical optics solutions and a nonlinear scattering transform. We test the
algorithms on three numerically simulated examples, including an example with
a complex coefficient. The spatial resolution and amplitude of the examples
are well-reconstructed.