An improved boundary distributed source method for electrical resistance tomography forward problem

Kim, Sin; Wang, Rong Li; Khambampati, Anil Kumar; Lee, Bo An; Kim, Kyung Youn

doi:10.1016/j.enganabound.2014.01.021

Cited by 9 publications

(5 citation statements)

References 36 publications

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“…From the fundamental solution of the Laplace equation, the potential distribution u and its normal derivative q on the background D \ Ω¯and on the inclusion D can be expressed as [20][21] …”

Section: Singular Boundary Distributed Source (Sbds) Methods For Ert Pmentioning

confidence: 99%

“…The coefficients of the diagonal elements corresponding to Neumann boundary conditions are evaluated using IBDS method of the form [20][21] …”

Section: Singular Boundary Distributed Source (Sbds) Methods For Ert Pmentioning

confidence: 99%

“…While computation of the system matrix, the diagonal elements of Neumann boundary conditions in BDS method and diagonal elements of Dirichlet boundary conditions in SBM method are solved using an indirect method therefore they are computationally intensive [18,19]. The improved boundary distributed source (IBDS) [20,21] method considers analytic evaluation of both Dirichlet and Neumann type boundary conditions therefore it is accurate and stable compared to BDS method. The IBDS solution is affected by the radius of the distributed source especially in case of multiple connected domains.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A mesh-less method to solve electrical resistance tomography forward problem using singular boundary distributed source method

Khambampati

Wang

Kim

et al. 2015

Flow Measurement and Instrumentation

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Section: Singular Boundary Distributed Source (Sbds) Methods For Ert Pmentioning

confidence: 99%

“…The coefficients of the diagonal elements corresponding to Neumann boundary conditions are evaluated using IBDS method of the form [20][21] …”

Section: Singular Boundary Distributed Source (Sbds) Methods For Ert Pmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A mesh-less method to solve electrical resistance tomography forward problem using singular boundary distributed source method

Khambampati

Wang

Kim

et al. 2015

Flow Measurement and Instrumentation

Self Cite

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“…The boundary voltage can be determined by measuring the change in conductivity [32,33]. The forward problem of ERT can be linearized as follows [34]…”

Section: Forward Problem Of Ertmentioning

confidence: 99%

ERT image reconstruction using marker region segmentation method

Li,

Yang

2024

Meas. Sci. Technol.

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Inspired by image region segmentation method, a marking region segmentation iterative method is proposed to reconstruct sparse binary images of electrical resistance tomography. The grayscale matrix of the iteration process is mapped to another linear space for segmentation processing, adding the watershed thresholding of marking regions. In the iteration process for estimating conductivity distribution, the target regions are separated to avoid excessive segmentation effects. By applying this method in conjunction with the Landweber iterative model to solve the inverse problem of resistivity tomography imaging, more accurate binary images can be obtained, and it is easier to converge to the global optimal solution compared to the Landweber algorithm. To verify the reconstruction effectiveness of LW-TDIS method, numerical simulations and static experiments are conducted for comparison with three other methods. The results demonstrate that the proposed method effectively reduces reconstruction artifacts, improves reconstruction quality, and achieves better reconstruction performance.

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“…Of course, from equations (13) and (14), in principle we could eliminate the current flux u such that (16) can be reduced to a smaller (M + 1) × M linear system of algebraic equations. Since the system of equations (16) is over-determined (the number of equations is greater than the number of unknowns), we can use the least-squares method to solve it.…”

Section: The Boundary Element Methodsmentioning

confidence: 99%

Solving the complete-electrode direct model of ERT using the boundary element method and the method of fundamental solutions

Dyhoum

Lesnic

Aykroyd

2014

EJBE

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Abstract. This paper discusses solving the forward problem for electrical resistance tomography (ERT). The mathematical model is governed by Laplace's equation with the most general boundary conditions forming the so-called completeelectrode model (CEM). We examine this problem in simply-connected and multiply -connected domains (rigid inclusion, cavity and composite bi-material). This direct problem is solved numerically using the boundary element method (BEM) and the method of fundamental solutions (MFS). The resulting BEM and MFS solutions are compared in terms of accuracy, convergence and stability. Anticipating the findings, we report that the BEM provides a convergent and stable solution, whilst the MFS places some restrictions on the number and location of the source points.

show abstract

An improved boundary distributed source method for electrical resistance tomography forward problem

Cited by 9 publications

References 36 publications

A mesh-less method to solve electrical resistance tomography forward problem using singular boundary distributed source method

A mesh-less method to solve electrical resistance tomography forward problem using singular boundary distributed source method

ERT image reconstruction using marker region segmentation method

Solving the complete-electrode direct model of ERT using the boundary element method and the method of fundamental solutions

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