Hofmann, B. Approximation of the inverse electrical impedance tomography problem by an inverse transmission problem. (English) Zbl 0992.78020 Inverse Probl. 14, No. 5, 1171-1187 (1998). 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. Cited in 2 Documents 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 Keywords:inverse problem; electrical impedance tomography; boundary integral methods PDFBibTeX XMLCite \textit{B. Hofmann}, Inverse Probl. 14, No. 5, 1171--1187 (1998; Zbl 0992.78020) Full Text: DOI