D‐Bar Method for Electrical Impedance Tomography with Discontinuous Conductivities
نویسندگان
چکیده
منابع مشابه
D-Bar Method for Electrical Impedance Tomography with Discontinuous Conductivities
The effects of truncating the (approximate) scattering transform in the D-bar reconstruction method for 2-D electrical impedance tomography are studied. The method is based on Nachman’s uniqueness proof [Ann. of Math. 143 (1996)] that applies to twice differentiable conductivities. However, the reconstruction algorithm has been successfully applied to experimental data, which can be characteriz...
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The importance of the solution of the boundary integral equation for the exponentially growing solutions to the Schrödinger equation arising from the 2-D inverse conductivity problems is demonstrated by a study of reconstructions of simple piecewise constant conductivities on a disk from two methods of approximating the scattering transform in the Dbar method and from Calderón’s linearization m...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2007
ISSN: 0036-1399,1095-712X
DOI: 10.1137/060656930