Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography. Issue 7 (3rd July 2018)

• Record Type: Journal Article
• Authors: Ren, Shangjie; Soleimani, Manuchehr; Xu, Yaoyuan; Dong, Feng
• Is Part Of: Inverse problems in science and engineering. Volume 26:Issue 7(2018)
• Page Start: 1037
• Page End: 1061
• Publication Date: 2018-07-03
• Subjects: Inverse problem -- electrical impedance tomography -- inclusion reconstruction -- shape sensitivity -- boundary element method; 65N21: Inverse problems -- 35R30: Inverse problems -- 35R05: Partial differential equations with discontinuous coefficients or data; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2017.1378195
• Languages: English
• ISSNs: 1741-5977

Abstract

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.