Robust computation in 2D absolute EIT (a-EIT) using D-bar methods with the 'exp' approximation.

@article{Hamilton2018RobustCI,
  title={Robust computation in 2D absolute EIT (a-EIT) using D-bar methods with the 'exp' approximation.},
  author={Sarah J. Hamilton and J. L. Mueller and Talles Batista Rattis Santos},
  journal={Physiological measurement},
  year={2018},
  volume={39 6},
  pages={
          064005
        }
}
OBJECTIVE Absolute images have important applications in medical electrical impedance tomography (EIT) imaging, but the traditional minimization and statistical based computations are very sensitive to modeling errors and noise. In this paper, it is demonstrated that D-bar reconstruction methods for absolute EIT are robust to such errors. APPROACH The effects of errors in domain shape and electrode placement on absolute images computed with 2D D-bar reconstruction algorithms are studied on… 
3D EIT Reconstructions from Electrode Data using Direct Inversion D-bar and Calderon Methods
TLDR
The first numerical implementation of a D-bar method in 3D using electrode data is presented and it is demonstrated to provide comparable quality to their 2D CGO counterparts, and hold promise for real-time reconstructions.
3D ELECTRICAL IMPEDANCE TOMOGRAPHY RECONSTRUCTIONS FROM SIMULATED ELECTRODE DATA USING DIRECT INVERSION texp AND CALDERÓN METHODS.
The first numerical implementation of a t exp method in 3D using simulated electrode data is presented. Results are compared to Calderón's method as well as more common TV and smoothness
Comparing D-bar and common regularization-based methods for electrical impedance tomography
TLDR
It is found that the D-bar method had a more position independent point spread function, was less sensitive to errors in electrode position and behaved differently with respect to additive noise than the regularized methods.
Estimating Homogeneous Reference Frame for Absolute Electrical Impedance Tomography Through Measurements and Scale Feature
TLDR
An effective approach for determining the homogeneous reference frame for a homogeneous conductivity distribution with proportional variations is demonstrated, providing more potential for the application of aEIT in real-time pipeline detection and online clinical monitoring.
A REVIEW OF ALGORITHMS AND HARDWARE IMPLEMENTATIONS IN ELECTRICAL IMPEDANCE TOMOGRAPHY (INVITED)
TLDR
The purpose of this paper is to review state-ofthe-art methods including both algorithms and hardware implementations in EIT, and offers some insights on classification and comparison for the advanced reconstruction algorithms in mainstream.
UNet model in image reconstruction for electrical impedance tomography
. This paper presents a new algorithm where the UNet convolutional neural network was used to correct deterministic algorithm results, as was is another similar solution using the DBar deterministic
Beltrami-net: domain-independent deep D-bar learning for absolute imaging with electrical impedance tomography (a-EIT)
TLDR
This work demonstrates that more general networks can be trained without being specific about boundary shape, a key challenge in EIT image reconstruction.
Electrical Impedance Tomography-Based Abdominal Subcutaneous Fat Estimation Method Using Deep Learning
TLDR
It is determined that a specially designed training dataset used during the deep learning process significantly reduces ill-posedness in the absolute EIT problem.
...
1
2
...

References

SHOWING 1-10 OF 34 REFERENCES
EIT Imaging of admittivities with a D-bar method and spatial prior: experimental results for absolute and difference imaging.
  • S. Hamilton
  • Mathematics, Physics
    Physiological measurement
  • 2017
TLDR
The a priori D-bar method for complex admittivities is demonstrated effective on experimental tank data for absolute imaging for the first time and is adjusted for, and tested on, time-difference imaging scenarios.
Direct EIT Reconstructions of Complex Admittivities on a Chest-Shaped Domain in 2-D
TLDR
In this work, an implementation of a D-bar method for complex admittivities on a general 2-D domain is presented and demonstrates robustness in the presence of noise.
2D D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform.
TLDR
The approximation to the scattering transform utilizing the standard Green's function for the Laplacian was introduced for the 2D D-bar method in Mueller and Siltanen and tested on simple numerically simulated conductivity distributions and implemented for experimental data for the first time.
2D EIT reconstructions using Calderon's method
The pioneering work ''On an inverse boundary value problem'' by A. Calderon has inspired a multitude of research, both theoretical and numerical, on the inverse conductivity problem (ICP). The
A Real-time D-bar Algorithm for 2-D Electrical Impedance Tomography Data.
TLDR
A fast implementation of the D-bar method for reconstructing conductivity changes on a 2-D chest-shaped domain is described and cross-sectional difference images from the chest of a healthy human subject are presented, demonstrating what can be achieved in real time.
Reconstructing conductivities with boundary corrected D-bar method
Abstract The aim of electrical impedance tomography is to form an image of the conductivity distribution inside an unknown body using electric boundary measurements. The computation of the image from
Effect of Domain Shape Modeling and Measurement Errors on the 2-D D-Bar Method for EIT
TLDR
The D-bar algorithm based on Nachman's 2-D global uniqueness proof for the inverse conductivity problem (Nachman, 1996) is implemented on a chest-shaped domain and the robustness and effectiveness of the method is demonstrated on a simulated chest with errors in input currents, output voltages, electrode placement, and domain modeling.
Real-Time Implementation of Calderón’s Method on Subject-Specific Domains
TLDR
This is the first implementation of Calderón’s method that accounts for correct modeling of non-symmetric domain boundaries in image reconstruction, and reconstructions from experimental tank data are presented, quantifying the distortion when correct modeling is not included in the reconstruction algorithm.
Imaging cardiac activity by the D-bar method for electrical impedance tomography.
TLDR
A practical D-bar algorithm for reconstructing conductivity changes from EIT data taken on electrodes in a 2D geometry based on the global uniqueness proof of Nachman for the 2D inverse conductivity problem is described.
A direct reconstruction method for anisotropic electrical impedance tomography
A novel computational, non-iterative and noise-robust reconstruction method is introduced for the planar anisotropic inverse conductivity problem. The method is based on bypassing the unstable step
...
1
2
3
4
...