2006
DOI: 10.1088/0957-0233/17/7/032
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Modified iterative Landweber method in electrical capacitance tomography

Abstract: Electrical capacitance tomography (ECT) is a non-invasive imaging technique that aims at visualization of the cross-sectional permittivity distribution of a dielectric object based on the measured capacitance. In this paper, we propose a modified iterative Landweber method to accelerate the convergence rate and enhance the quality of the reconstructed image. In doing so, an additional acceleration term is added to the conventional iterative Landweber method and the optimal step length is determined analyticall… Show more

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Cited by 101 publications
(38 citation statements)
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“…The convergence rate of iterative techniques depends on the accuracy of the first image (Hytros et al 1999, Chen et al 2004. The main idea of using a fuzzy system is to assist the iterative reconstruction techniques (Fabian et al 1998, Jang et al 2006 to converge faster by providing a more accurate first image. The better the first image is the lower of the iterations number (Xie et al 1992).…”
Section: Metal Fill Visualization Expert Based Fuzzy Assisted Image Rmentioning
confidence: 99%
“…The convergence rate of iterative techniques depends on the accuracy of the first image (Hytros et al 1999, Chen et al 2004. The main idea of using a fuzzy system is to assist the iterative reconstruction techniques (Fabian et al 1998, Jang et al 2006 to converge faster by providing a more accurate first image. The better the first image is the lower of the iterations number (Xie et al 1992).…”
Section: Metal Fill Visualization Expert Based Fuzzy Assisted Image Rmentioning
confidence: 99%
“…Usually, the image reconstruction consists in determining the permittivity distribution by solving an underdetermined set of linear equations obtained by a spatial disretization using the finite element method. Thus, an iterative algorithm [15,5] is implemented to find a solution by minimizing a cost function.…”
Section: Introductionmentioning
confidence: 99%
“…Usually in the iLW method, a sensitivity matrix or a Jacobian matrix is not updated, so the computational time is relatively fast, however, the convergence rate is slow. To speed up the convergence rate, optimal steplengths can be computed at every iteration [8,9]. However, to apply real applications using the iLW method, this method needs to be modified as one-step algorithm.…”
Section: Introductionmentioning
confidence: 99%