A boundary element method to estimate the interfacial boundary of two immiscible stratified liquids using electrical resistance tomography

Khambampati, Anil Kumar; Hong, Yun Jeong; Kim, Kyung Youn; Kim, Sin

doi:10.1016/j.ces.2013.03.018

Cited by 12 publications

(5 citation statements)

References 26 publications

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“…In SMP based reconstruction, to construct the prior covariance in (21), parameters a, b and d were empirically selected as a = 1.5 and a = 9 for the numerical test cases and experimental test cases, respectively; b = 3 and d = 1 × 10 −3 are fixed for both numerical and experimental test cases. In TVP based reconstruction, we selected the parameters α and β in ( 22) by applying a confidence-based strategy studied in [58].…”

Section: E Implementation Detailsmentioning

confidence: 99%

A Moving Morphable Components Based Shape Reconstruction Framework for Electrical Impedance Tomography

Liu

2019

IEEE Trans. Med. Imaging

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This paper presents a new computational framework in electrical impedance tomography (EIT) for shape reconstruction based on the concept of moving morphable components (MMC).In the proposed framework, the shape reconstruction problem is solved in an explicit and geometrical way. Compared with the traditional pixel or shape-based solution framework, the proposed framework can incorporate more geometry and prior information into shape and topology optimization directly and therefore render the solution process more flexibility. It also has the afford potential to substantially reduce the computational burden associated with shape and topology optimization. The effectiveness of the proposed approach is tested with noisy synthetic data and experimental data, which demonstrates the most popular biomedical application of EIT: lung imaging. In addition, robustness studies of the proposed approach considering modeling errors caused by nonhomogeneous background, varying initial guesses, differing numbers of candidate shape components, and differing exponent in the shape and topology description function are performed. The simulation and experimental results show that the proposed approach is tolerant to modeling errors and is fairly robust to these parameter choices, offering significant improvements in image quality in comparison to the conventional absolute reconstructions using smoothness prior regularization and total variation regularization.

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Section: E Implementation Detailsmentioning

confidence: 99%

A Moving Morphable Components Based Shape Reconstruction Framework for Electrical Impedance Tomography

Liu

2019

IEEE Trans. Med. Imaging

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“…Need to know the number of inclusions as a priori, and hard to handle topological changes; For representing complex shapes, higher order Fourier series have to be used but the coefficients are very sensitive to noise therefore affects the reconstruction performance; Front points based method [37], [50], [51]…”

Section: Direct Parameterization For Interfacial (Close) Boundary; Dimension Reductionmentioning

confidence: 99%

Shape Reconstruction Using Boolean Operations in Electrical Impedance Tomography

Liu

Smyl

et al. 2020

IEEE Trans. Med. Imaging

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“…where Lv is the number of valid electrodes contained in Ω 2 . Furthermore, according to boundary conditions ( 2)-( 5) and ( 7), q can be eliminated from (9). Then, the boundary integral equation ( 9) can be formed as…”

Section: Bem Formulation For Forward Problemmentioning

confidence: 99%

“…Since only the boundaries require meshing, the BEM-based freeinterface reconstruction has a high computational efficiency and a high numerical accuracy. Khambampati et al [9] adopted the BEM-based shape inversion method to estimate the interfacial boundary of two immiscible stratified liquids. The experimental results proved that the method has high accuracy.…”

Section: Introductionmentioning

confidence: 99%

Ultrasound guided electrical impedance tomography for 2D free-interface reconstruction

Liang¹,

Ren²,

Dong³

2017

Meas. Sci. Technol.

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The free-interface detection problem is normally seen in industrial or biological processes. Electrical impedance tomography (EIT) is a non-invasive technique with advantages of high-speed and low cost, and is a promising solution for free-interface detection problems. However, due to the ill-posed and nonlinear characteristics, the spatial resolution of EIT is low. To deal with the issue, an ultrasound guided EIT is proposed to directly reconstruct the geometric configuration of the target free-interface. In the method, the position of the central point of the target interface is measured by a pair of ultrasound transducers mounted at the opposite side of the objective domain, and then the position measurement is used as the prior information for guiding the EIT-based free-interface reconstruction. During the process, a constrained least squares framework is used to fuse the information from different measurement modalities, and the Lagrange multiplier-based Levenberg–Marquardt method is adopted to provide the iterative solution of the constraint optimization problem. The numerical results show that the proposed ultrasound guided EIT method for the free-interface reconstruction is more accurate than the single modality method, especially when the number of valid electrodes is limited.

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A boundary element method to estimate the interfacial boundary of two immiscible stratified liquids using electrical resistance tomography

Cited by 12 publications

References 26 publications

A Moving Morphable Components Based Shape Reconstruction Framework for Electrical Impedance Tomography

A Moving Morphable Components Based Shape Reconstruction Framework for Electrical Impedance Tomography

Shape Reconstruction Using Boolean Operations in Electrical Impedance Tomography

Ultrasound guided electrical impedance tomography for 2D free-interface reconstruction

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