ANALYTIC AND SEMIANALYTIC SOLUTIONS IN ELECTRICAL-IMPEDANCE TOMOGRAPHY .1. 2-DIMENSIONAL PROBLEMS

1995-05-01
We give analytic and semi-analytic solutions to a number of problems which are related to the image reconstruction problem of electrical impedance tomography (EIT) in two dimensions.
PHYSIOLOGICAL MEASUREMENT

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ANALYTIC AND SEMIANALYTIC SOLUTIONS IN ELECTRICAL-IMPEDANCE TOMOGRAPHY .2. 3-DIMENSIONAL PROBLEMS
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In this paper, we propose a fast algorithm for the reconstruction of the conductivity perturbation DELTAsigma about a known conductivity variation sigma0. The method is based on the minimization of a quadratic functional subject to linear constraints, where the existence of a unique solution is guaranteed. The algorithm developed for this purpose is iterative and each iteration is composed of a simple matrix multiplication. The validity of this method is illustrated with several examples.
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Citation Formats
M. PIDCOCK, M. Kuzuoğlu, and M. K. Leblebicioğlu, “ANALYTIC AND SEMIANALYTIC SOLUTIONS IN ELECTRICAL-IMPEDANCE TOMOGRAPHY .1. 2-DIMENSIONAL PROBLEMS,” PHYSIOLOGICAL MEASUREMENT, pp. 77–90, 1995, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37470.