A shape optimization approach for electrical impedance tomography with point measurements
نویسندگان
چکیده
منابع مشابه
On Second Order Shape Optimization Methods for Electrical Impedance Tomography
This paper is devoted to the analysis of a second order method for recovering the a priori unknown shape of an inclusion ω inside a body Ω from boundary measurement. This inverse problem known as electrical impedance tomography has many important practical applications and hence has focussed much attention during the last years. However, to our best knowledge, no work has yet considered a secon...
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Electrical Impedance Tomography (EIT) finds the conductivity (in the case of the quasistatic approximation of Maxwell’s equations, for a linear and isotropic medium and a sufficiently small excitation frequency) distribution in a given model of a body which reproduces the boundary measurements of currents and potentials on electrodes attached to that body (Mello et al. [2]). The conductivity di...
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A level set based shape and topology optimization approach to electrical impedance tomography (EIT) problems with piecewise constant conductivities is introduced. The proposed solution algorithm is initialized by using topological sensitivity analysis. Then it relies on the notion of shape derivatives to update the shape of the domains where the conductivity takes its different values.
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Introduction: Electrical impedance tomography (EIT) is a non-invasive technique utilized in various medical applications, including brain imaging and other neurological diseases. Recognizing the physiological and anatomical characteristics of organs based on their electrical properties is one of the main applications of EIT, as each variety of tissue structure has its own electrical characteris...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2020
ISSN: 0266-5611,1361-6420
DOI: 10.1088/1361-6420/ab9f87