Existence of solution for a segmentation approach to the impedance tomography problem
Date
2020-09-16
Authors
Mendoza, Renier
Keeling, Stephen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In electrical impedance tomography (EIT), image reconstruction of the conductivity distribution of a body can be calculated using measured voltages at the boundary. This is done by solving an inverse problem for an elliptic partial differential equation (PDE). In this work, we present some sensitivity results arising from the solution of the PDE. We use these to show that a segmentation approach to the EIT inverse problem has a unique solution in a suitable space using a fixed point theorem.
Description
Keywords
Electrical impedance tomography problem, Two-phase segmentation algorithm, Fixed point theorem
Citation
Mendoza, R., & Keeling, S. (2020). Existence of solution for a segmentation approach to the impedance tomography problem. <i>Electronic Journal of Differential Equations, 2020</i>(93), pp. 1-30.
Rights
Attribution 4.0 International