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A multithreaded real-time solution for 2d EIT reconstruction with the d-bar algorithm

JOURNAL OF COMPUTATIONAL SCIENCE 2023年 67卷

作者： Alsaker, Melody Mueller, Jennifer L. Stahel, Andreas Gonzaga Univ Dept Math Spokane WA 99258 USA Colorado State Univ Dept Math Ft Collins CO 80523 USA Bern Univ Appl Sci Sch Engn & Comp Sci CH-2501 Biel Switzerland

Electrical impedance tomography (EIT) is a non-ionizing real-time imaging tool for bedside pulmonary imaging. dynamic cross-sectional images of ventilation and perfusion can be produced in real time with fast algorithms from measured voltage data arising from current applied on electrodes placed around the circumference of the patient's chest. The d-bar method is a direct (non-iterative) reconstruction algorithm for EIT that uses equations of inverse scattering to independently reconstruct the conductivity at each point in the region of interest. However, this nonlinear reconstruction method has a computational complexity that makes real-time imaging a challenge. At the same time, it has the attributes that it does not require successive solutions of the forward problem, as is the case with iterative methods, and it is trivially parallelizable in the spatial variable. Here, we present a novel multithreaded implementation of the d-bar method with a front-end MATLAB/Octave program interfaced with C code that uses the pthreads library. The implementation is analyzed on several different platforms with concurrent threads ranging from 2 to 32 for spatial grids of several sizes. We demonstrate that on a CPU with many cores, very high frame rates (50 frames/s) with high resolution (6000 grid points) are achievable, and on a single AMd CPU real-time reconstructions (faster than 30 frames/s) are achieved with this implementation using 10 or more threads on a grid of 1969 points.

关键词： Electrical impedance tomography Multithreading d-bar algorithm Real-time imaging

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A d-bar algorithm with A Priori Information for 2-dimensional Electrical Impedance Tomography

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SIAM JOURNAL ON IMAGING SCIENCES 2016年第4期9卷 1619-1654页

作者： Alsaker, Melody Mueller, Jennifer L. Colorado State Univ Dept Math Ft Collins CO 80523 USA Gonzaga Univ Dept Math Spokane WA 99258 USA Colorado State Univ Sch Biomed Engn Ft Collins CO 80523 USA

A method for including a priori information in the 2-dimensional d-bar algorithm is presented. It is shown that this method also constitutes a nonlinear regularization strategy for the d-bar method that converges to the true conductivity as the noise level tends to zero in the case of a correct prior. An explicit rate of convergence in the appropriate Banach space is derived. Two methods of assigning conductivity values to the prior are presented, each corresponding to a different scenario in applications. The method is tested on several numerical examples with and without noise and is demonstrated to be highly effective in improving the spatial resolution of the d-bar method.

关键词： electrical impedance tomography inverse problems d-bar algorithm

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Reconstruction of flame permittivity distribution based on ECT and Lp regularized d-bar method

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MEASUREMENT SCIENCE ANd TECHNOLOGY 2025年第1期36卷 015416-015416页

作者： Wang, Chao Jin, Shuo Guo, Qi Zhang, Kexin Tianjin Univ Sch Elect & Informat Engn Tianjin 300072 Peoples R China Tianjin Special Equipment Inspect Inst Key Lab Digital Twin Gener Technol Special Equipme Tianjin 300192 Peoples R China

The measurement of flame permittivity is significant in obtaining the combustion state. A method of L-p regularized d-bar is proposed in this article, which is used to reconstruct flame permittivity distribution by electrical capacitance tomography (ECT). Firstly, the distribution characteristic of flame permittivity is analyzed using the electric probe method. The simulation model of ECT flame measurement is set up based on the result of flame permittivity distribution. Then, the relationship model between the truncation radius of the d-bar algorithm and noise level is fitted based on the simulation reconstruction results of flame permittivity. The truncation radius of the d-bar algorithm for flame permittivity reconstruction is obtained by the relationship model. The L-p regularization is introduced into the scattering transformation solving of the d-bar algorithm, and the simulation results of flame permittivity reconstruction under different p-values are compared. In the experiment, the reconstruction of flame permittivity by the d-bar algorithm with different truncation radii is compared. The experimental results verify the truncation radius strategy based on noise level. Moreover, compared with L-1 and L-2 regularization methods, L-p regularization combined with the d-bar algorithm is more accurate in the experiment results of flame permittivity reconstruction.

关键词： flame permittivity ECT image reconstruction d-bar algorithm regularization method

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