Journal ArticleDOI
Tikhonov regularization and prior information in electrical impedance tomography
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TLDR
The authors propose an approach to the construction of the regularization matrix that conforms to the prior assumptions on the impedance distribution based on theConstruction of an approximating subspace for the expected impedance distributions.Abstract:
The solution of impedance distribution in electrical impedance tomography is a nonlinear inverse problem that requires the use of a regularization method. The generalized Tikhonov regularization methods have been popular in the solution of many inverse problems. The regularization matrices that are usually used with the Tikhonov method are more or less ad hoc and the implicit prior assumptions are, thus, in many cases inappropriate. In this paper, the authors propose an approach to the construction of the regularization matrix that conforms to the prior assumptions on the impedance distribution. The approach is based on the construction of an approximating subspace for the expected impedance distributions. It is shown by simulations that the reconstructions obtained with the proposed method are better than with two other schemes of the same type when the prior is compatible with the true object. On the other hand, when the prior is incompatible with the true object, the method will still give reasonable estimates.read more
Citations
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Journal ArticleDOI
Electrical Impedance Tomography
TL;DR: A survey of the work in electrical impedance tomography can be found in this article, where the authors survey some of the most important works in the field. Butt.t.
Journal ArticleDOI
GREIT: a unified approach to 2D linear EIT reconstruction of lung images.
Andy Adler,John H. Arnold,Richard Bayford,Andrea Borsic,Brian H. Brown,Paul Dixon,Theo J.C. Faes,Inéz Frerichs,Hervé Gagnon,Yvo Garber,Bartłomiej Grychtol,Günter Hahn,William R. B. Lionheart,Anjum Malik,Robert P Patterson,Janet Stocks,Andrew Tizzard,Norbert Weiler,Gerhard K. Wolf +18 more
TL;DR: This paper describes the unified approach to linear image reconstruction developed for GREIT (Graz consensus Reconstruction algorithm for EIT), which represents the consensus of a large and representative group of experts in EIT algorithm design and clinical applications for pulmonary monitoring.
Journal ArticleDOI
Bioimpedance tomography (electrical impedance tomography)
TL;DR: A review of the development of EIT and its clinical applications, examining hardware for the collection of data and reconstruction algorithms to generate images, and looking at future developments that are evolving from EIT.
Journal ArticleDOI
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
TL;DR: In this paper, the authors consider the electrical impedance tomography (EIT) problem in the framework of Bayesian statistics, where the inverse problem is recast into a form of statistical inference.
Journal ArticleDOI
Inverse problems with structural prior information
TL;DR: In this article, the authors proposed a method for the regularization of inverse problems whose solutions are known to exhibit anisotropic characteristics based on the generalized Tikhonov regularization and on the spatial prior information on the underlying solution.
References
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Book
Principal Component Analysis
TL;DR: In this article, the authors present a graphical representation of data using Principal Component Analysis (PCA) for time series and other non-independent data, as well as a generalization and adaptation of principal component analysis.
Book
The Mathematical Theory of Finite Element Methods
TL;DR: In this article, the construction of a finite element of space in Sobolev spaces has been studied in the context of operator-interpolation theory in n-dimensional variational problems.
Journal ArticleDOI
The specific resistance of biological material—A compendium of data for the biomedical engineer and physiologist
L. A. Geddes,L. E. Baker +1 more
TL;DR: The paper traces the history of, and tabulates determinations of the electrical resistivity of blood, other body fluids, cardiac muscle, skeletal muscle, lung, kidney, liver, spleen, pancreas, nervous tissue, fat, bone, and other miscellaneous tissues.
Journal ArticleDOI
Existence and uniqueness for electrode models for electric current computed tomography
TL;DR: Cheng et al. as mentioned in this paper proposed a model that is capable of predicting the experimentally measured voltages to within 0.1 percent of the observed voltages, and proved the existence and uniqueness of the associated electrical potential.