Electrical Impedance Tomography

Seo, Jin Keun; Woo, Eung Je

doi:10.1002/9781118478141.ch7

Nonlinear Inverse Problems in Imaging 2012

DOI: 10.1002/9781118478141.ch7

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Electrical Impedance Tomography

Jin Keun Seo

Eung Je Woo

Abstract: We i n troduce an output least-squares method for impedance tomography problems that have regions of high conductivity surrounded by regions of lower conductivity. The high conductivity is modeled on network approximation results from an asymptotic analysis and its recovery is based on this model. The smoothly varying part of the conductivity is recovered by a linearization process as is usual. We present the results of several numerical experiments that illustrate the performance of the method.

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Cited by 6 publications

References 65 publications

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Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem

Harrach

2020

Numer. Math.

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We derive a simple criterion that ensures uniqueness, Lipschitz stability and global convergence of Newton’s method for the finite dimensional zero-finding problem of a continuously differentiable, pointwise convex and monotonic function. Our criterion merely requires to evaluate the directional derivative of the forward function at finitely many evaluation points and for finitely many directions. We then demonstrate that this result can be used to prove uniqueness, stability and global convergence for an inverse coefficient problem with finitely many measurements. We consider the problem of determining an unknown inverse Robin transmission coefficient in an elliptic PDE. Using a relation to monotonicity and localized potentials techniques, we show that a piecewise-constant coefficient on an a-priori known partition with a-priori known bounds is uniquely determined by finitely many boundary measurements and that it can be uniquely and stably reconstructed by a globally convergent Newton iteration. We derive a constructive method to identify these boundary measurements, calculate the stability constant and give a numerical example.

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Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem

Harrach

2020

Numer. Math.

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Experimental quantification of turbulence and its applications in the study of multiphase flotation pulps

Xie¹,

Meng²,

Nguyen

2016

International Journal of Mineral Processing

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Turbulence is common in daily activities, both naturally and industrially. However, it is not well understood on the microscopic level because there is a lack of suitable quantification techniques especially for multi-phase particulate systems such as flotation pulps. In this paper, the different quantification techniques which have been used to characterise turbulence in the literature have been reviewed in terms of their basic principles, system structure, the range of application and limitations. Optical techniques such as Laser Doppler Anemometry and Particle Image Velocimetry can produce accurate measurement results with high spatial and temporal resolution, but their applications are limited to transparent flows. Hot wire probes have high spatial and temporal resolution in turbulence quantification, but they are susceptible to environmental factors. Conductivity probe, Electrical Resistance Tomography (ERT) and Piezoelectric Sensor are techniques that can quantify turbulence in multiphase flows, but their spatial resolutions are limited. Particle Tracking Velocimetry can reveal particle trajectories in multiphase flows; it can also measure velocity fluctuation. Positron Emission Particle Tracking cannot be used to quantify turbulence although it can also be used to determine the Lagrangian trajectory of particles. For turbulence quantification in three phase flows, piezoelectric sensor, ERT and conductivity probe require further development.

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Mapping the conductivity of graphene with Electrical Resistance Tomography

Cultrera

Serazio

Zurutuza

et al. 2019

Sci Rep

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Electronic applications of large-area graphene films require rapid and accurate methods to map their electrical properties. Here we present the first electrical resistance tomography (ERT) measurements on large-area graphene samples, obtained with a dedicated measurement setup and reconstruction software. The outcome of an ERT measurement is a map of the graphene electrical conductivity. The same setup allows to perform van der Pauw (vdP) measurements of the average conductivity. We characterised the electrical conductivity of chemical-vapour deposited graphene samples by performing ERT, vdP and scanning terahertz time-domain spectroscopy (TDS), the last one by means of a commercial instrument. The measurement results are compared and discussed, showing the potential of ERT as an accurate and reliable technique for the electrical characterization of graphene samples.

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Electrical Impedance Tomography

Cited by 6 publications

References 65 publications

Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem

Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem

Experimental quantification of turbulence and its applications in the study of multiphase flotation pulps

Mapping the conductivity of graphene with Electrical Resistance Tomography

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