Detection of multiple inclusions from sweep data of electrical impedance tomography
نویسندگان
چکیده
This paper considers detection of conductivity inhomogeneities inside an otherwise homogeneous object by electrical impedance tomography using only two electrodes: one of the electrodes is held fixed, while the other moves around the examined object. Unit current is maintained between the electrodes, and the corresponding (relative) potential difference is measured as a function of the position of the dynamic electrode, thus producing so-called sweep data. In two dimensions and with point-like electrodes, the sweep data have previously been shown to extend as a holomorphic function to the exterior of the inhomogeneities. We derive a holomorphic asymptotic expansion for the (extended) sweep data with respect to the size of Lipschitz inclusions with constant conductivity levels. Based on this result, we subsequently introduce a numerical algorithm that locates the inclusions and estimates their strengths by considering the poles and corresponding residues of suitable Laurent– Padé approximants of the sweep data. The functionality of the reconstruction technique is demonstrated via numerical experiments, some of which are three dimensional and/or based on simulated complete electrode model measurements.
منابع مشابه
Localized Potentials in Electrical Impedance Tomography
In this work we study localized electric potentials that have an arbitrarily high energy on some given subset of a domain and low energy on another. We show that such potentials exist for general L∞ + -conductivities in almost arbitrarily shaped subregions of a domain, as long as these regions are connected to the boundary and a unique continuation principle is satisfied. From this we deduce a ...
متن کاملReconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography
We consider the inverse problem of reconstructing thin tubular inclusions inside a three-dimensional body from measurements of electrostatic currents and potentials on its boundary. By inclusions we mean objects with an electrical conductivity differing from that of the background material of the body. We apply an asymptotic expansion of the electrostatic potential on the boundary of the body a...
متن کاملDetecting Inclusions in Electrical Impedance Tomography Without Reference Measurements
We develop a new variant of the factorization method that can be used to detect inclusions in electrical impedance tomography from either absolute current-to-voltage measurements at a single, nonzero frequency or from frequency-difference measurements. This eliminates the need for numerically simulated reference measurements at an inclusion-free body and thus greatly improves the method’s robus...
متن کاملThe Effect of Gold Nanoparticle on Electrical Impedance of Tissue on Low Frequency Ranges
Introduction: Electrical impedance of tissues on low frequencies includes useful information about functional and structural changes in tissues. This property is used in Electrical Impedance Tomography (EIT) imaging modality for the detection of lesions in tissues.Objective: The goal of this article is to study changes in electrical impedance of tissues in the presence of gold nanoparticles.Mat...
متن کامل