2015
DOI: 10.1088/0266-5611/31/3/035012
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A nonlinear approach to difference imaging in EIT; assessment of the robustness in the presence of modelling errors

Abstract: Inverse Problems 31 (2015) 035012 D Liu et al

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Cited by 63 publications
(46 citation statements)
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“…Framing the reconstruction approach in the context of linear difference imaging or nonlinear difference imaging would be another potential solution. This is because difference imaging tends to be quite robust to these sources of modeling errors, which are largely canceled out in the measurement subtraction and absorbed by the background estimation using the nonlinear approach [44], [45].…”
Section: E Limitations and Further Developmentsmentioning
confidence: 99%
“…Framing the reconstruction approach in the context of linear difference imaging or nonlinear difference imaging would be another potential solution. This is because difference imaging tends to be quite robust to these sources of modeling errors, which are largely canceled out in the measurement subtraction and absorbed by the background estimation using the nonlinear approach [44], [45].…”
Section: E Limitations and Further Developmentsmentioning
confidence: 99%
“…No matter which imaging technology, to some extent, the same basic approach is followed. If the problem is nonlinear, then the problem is linearized; if the problem is ill‐posed, then a priori information is added to find the nearby moderate problem by the regularization; if the linear approximation is not correct, the error is minimized by the iterative solution …”
Section: Eit For Artificial Sensitive Skinsmentioning
confidence: 99%
“…However, the modelling error is practically unknown, and it is usually ignored [3]. Therefore, the estimation ̂ can be determined by the absolute imaging approach with the regularization function R and the regularization parameter  as in (2).…”
Section: Errors In Difference Imaging Approachmentioning
confidence: 99%
“…In a homogeneous situation e.g. in [3], reconstruction using the standard approach -absolute imaging -is possible due to the small size of the error. However, in the case of head EIT this is not possible -the modelling error is too large.…”
Section: Introductionmentioning
confidence: 99%
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