ArticleInverse problems2020
The D-bar method for electrical impedance tomography-demystified.
Article in Inverse problems, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- An improved Wexler algorithm for electrical impedance tomography using finite element method and gradient based overrelaxation.Scientific reports · 2026Article
- Magneto-photoacoustic coupling: A pathway to optical-resolution electrical conductivity imaging.Photoacoustics · 2025Article
- Exploring Bio-Impedance Sensing for Intelligent Wearable Devices.Bioengineering (Basel, Switzerland) · 2025Article
- ACT5 Electrical Impedance Tomography System.IEEE transactions on bio-medical engineering · 2024Article
- Fast absolute 3D CGO-based electrical impedance tomography on experimental tank data.Physiological measurement · 2022Article
- Hybrid method for improving Tikhonov-based reconstruction quality in electrical impedance tomography.Journal of medical imaging (Bellingham, Wash.) · 2022Article
- Improved resolution of D-bar images of ventilation using a Schur complement property and an anatomical atlas.Medical physics · 2022Article
- Robust imaging using electrical impedance tomography: review of current tools.Proceedings. Mathematical, physical, and engineering sciences · 2022Review
- A Point-Matching Method of Moment with Sparse Bayesian Learning Applied and Evaluated in Dynamic Lung Electrical Impedance Tomography.Bioengineering (Basel, Switzerland) · 2021Article
- Graph Convolutional Networks for Model-Based Learning in Nonlinear Inverse Problems.IEEE transactions on computational imaging · 2021Article
- The Research Progress of Electrical Impedance Tomography for Lung Monitoring.Frontiers in bioengineering and biotechnology · 2021Review
- A DIRECT RECONSTRUCTION ALGORITHM FOR THE ANISOTROPIC INVERSE CONDUCTIVITY PROBLEM BASED ON CALDERÓN'S METHOD IN THE PLANE.Inverse problems · 2020Article
- Estimating a regional ventilation-perfusion index.Physiological measurement · 2015Article
- Applications of Electrical Impedance Tomography in Neurology.Basic and clinical neuroscienceReview
Corrections and comments
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Authors and funding
2 authors.
Funding
Abstract
Electrical impedance tomography (EIT) is an imaging modality where a patient or object is probed using harmless electric currents. The currents are fed through electrodes placed on the surface of the target, and the data consists of voltages measured at the electrodes resulting from a linearly independent set of current injection patterns. EIT aims to recover the internal distribution of electrical conductivity inside the target. The inverse problem underlying the EIT image formation task is nonlinear and severely ill-posed, and hence sensitive to modeling errors and measurement noise. Therefore, the inversion process needs to be regularized. However, traditional variational regularization methods, based on optimization, often suffer from local minima because of nonlinearity. This is what makes regularized direct (non-iterative) methods attractive for EIT. The most developed direct EIT algorithm is the D-bar method, based on Complex Geometric Optics solutions and a nonlinear Fourier transform. Variants and recent developments of D-bar methods are reviewed, and their practical numerical implementation is explained.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.