Abstract
Reconstruction of conductive inclusions in a homogeneous background medium is commonly seen in electrical impedance tomography (EIT). One of the methods to deal with the inclusion reconstruction problems is the shape-based method. With prior knowledge of conductivity of target inclusions, the boundary of inclusions is parameterized by several shape coefficients and recovered from EIT measurements. This paper presents a shape-based inclusion reconstruction method and its numerical implementation with boundary element method (BEM). A shape perturbation method (SPM) is proposed to calculate the shape sensitivity in EIT. To evaluate the accuracy of the presented method, a series of numerical tests are conducted. The characteristics of EIT shape sensitivity are analysed. Some factors influencing the reconstruction performance are discussed.
Original language | English |
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Pages (from-to) | 1037-1061 |
Number of pages | 25 |
Journal | Inverse Problems in Science and Engineering |
Volume | 26 |
Issue number | 7 |
Early online date | 8 Sept 2017 |
DOIs | |
Publication status | Published - 2018 |
Keywords
- Inverse problem
- boundary element method
- electrical impedance tomography
- inclusion reconstruction
- shape sensitivity
ASJC Scopus subject areas
- Engineering(all)
- Computer Science Applications
- Applied Mathematics