Existence of solution for a segmentation approach to the impedance tomography problem
| dc.contributor.author | Mendoza, Renier | |
| dc.contributor.author | Keeling, Stephen | |
| dc.date.accessioned | 2021-10-04T18:53:20Z | |
| dc.date.available | 2021-10-04T18:53:20Z | |
| dc.date.issued | 2020-09-16 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 30 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14600 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Electrical impedance tomography problem | |
| dc.subject | Two-phase segmentation algorithm | |
| dc.subject | Fixed point theorem | |
| dc.title | Existence of solution for a segmentation approach to the impedance tomography problem | |
| dc.type | Article |