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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:

78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
92C55 Biomedical imaging and signal processing
35R30 Inverse problems for PDEs
78M25 Numerical methods in optics (MSC2010)
44A12 Radon transform
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