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Approximation of the inverse electrical impedance tomography problem by an inverse transmission problem. (English) Zbl 0992.78020
Summary: The inverse problem in electrical impedance tomography (EIT) is severely ill-posed. Therefore, it is desirable to include any available a priori information in a numerical algorithm for its solution. If the conductivity inside the object is known to be piecewise constant this information can be directly incorporated in the algorithm by using boundary integral methods for the computation of the forward map. In this paper we describe an implementation of this idea and compare the results with standard methods using both synthetic and measured data from the clinical applications of EIT.
MSC:
78A46Inverse scattering problems
92C55Biomedical imaging and signal processing, tomography
35R30Inverse problems for PDE
78M25Numerical methods in optics
44A12Radon transform