Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
arXiv:1707.08413 · doi:10.1016/j.jcp.2017.10.017
Abstract
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.
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- A shape optimization approach for electrical impedance tomography with point measurements
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