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Impact of ISTA and FISTA iterative optimization algorithms on electrical impedance tomography image reconstruction Cover

Impact of ISTA and FISTA iterative optimization algorithms on electrical impedance tomography image reconstruction

Journal of Electrical Bioimpedance
Volume 16 (2025): Issue 1 (January 2025)
By: Quoc Tuan Nguyen Diep,  Hoang Nhut Huynh,  Thanh Ven Huynh,  Minh Quan Cao Dinh,  Anh Tu Tran and  Trung Nghia Tran  
Open Access
|Mar 2025

Figures & Tables

Figure 1:

Simulate the wave signals from three frequencies of 10, 50, and 100 kHz with (A) the sum of the signal and (B) the discrete point in the signal with a threshold of 0.2.
Simulate the wave signals from three frequencies of 10, 50, and 100 kHz with (A) the sum of the signal and (B) the discrete point in the signal with a threshold of 0.2.

Figure 2:

Reconstructed signal from ISTA and FISTA iterative method.
Reconstructed signal from ISTA and FISTA iterative method.

Figure 3:

Evaluation of ISTA and FISTA performance based on MAE, MSE, SNR, and PSNR metrics over iterations.
Evaluation of ISTA and FISTA performance based on MAE, MSE, SNR, and PSNR metrics over iterations.

Figure 4:

16-electrode model simulates an abnormal object with a radius of 0.3 in the phantom mesh (left) and intensity conductivity (right).
16-electrode model simulates an abnormal object with a radius of 0.3 in the phantom mesh (left) and intensity conductivity (right).

Figure 5:

Reconstructed EIT image (top) and conductivity intensity (bottom) using Newton-Raphson, NOSER, ISTA, and FISTA regularization methods, respectively
Reconstructed EIT image (top) and conductivity intensity (bottom) using Newton-Raphson, NOSER, ISTA, and FISTA regularization methods, respectively

Figure 6:

Normalized conductivity profile through the center of the object vertically (top) and horizontally (bottom).
Normalized conductivity profile through the center of the object vertically (top) and horizontally (bottom).

Figure 7:

3D simulation model 32 electrodes (2 rings) of an irregular spherical object with radius 0.3 in phantom with (a) in three axes and (b) in three-dimensional space.
3D simulation model 32 electrodes (2 rings) of an irregular spherical object with radius 0.3 in phantom with (a) in three axes and (b) in three-dimensional space.

Figure 8:

3D EIT reconstruction using iterative methods with (a) original object, (b) Newton-Raphson, (c) NOSER, (d) ISTA, and (e) FISTA with corresponding conductivity scale.
3D EIT reconstruction using iterative methods with (a) original object, (b) Newton-Raphson, (c) NOSER, (d) ISTA, and (e) FISTA with corresponding conductivity scale.

Figure 9:

Cross-section of the 3D EIT image shown in Fig. 8 corresponds to the iterative methods from left-to-right original object, Newton-Raphson, NOSER, ISTA, and FISTA, respectively.
Cross-section of the 3D EIT image shown in Fig. 8 corresponds to the iterative methods from left-to-right original object, Newton-Raphson, NOSER, ISTA, and FISTA, respectively.

Figure 10:

Process of signal acquisition and image reconstruction of the EIT device.
Process of signal acquisition and image reconstruction of the EIT device.

Figure 11:

Phantom model with ground pork meat and acrylic resin objects simulating the lung shape with (a) without objects and (b) with objects.
Phantom model with ground pork meat and acrylic resin objects simulating the lung shape with (a) without objects and (b) with objects.

Figure 12:

EIT image reconstructed from the lung simulation phantom using iterative methods with (a) Newton-Raphson, (b) NOSER, (c) ISTA, and (d) FISTA.
EIT image reconstructed from the lung simulation phantom using iterative methods with (a) Newton-Raphson, (b) NOSER, (c) ISTA, and (d) FISTA.

Figure 13:

EIT image evaluation parameters reconstructed when tuning hyperparameters.
EIT image evaluation parameters reconstructed when tuning hyperparameters.
DOI: https://doi.org/10.2478/joeb-2025-0003 | Journal eISSN: 1891-5469
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Language: English
Page range: 11 - 22
Submitted on: Dec 13, 2024
Published on: Mar 11, 2025
Published by: University of Oslo
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
Electrical Impedance Tomography,
iterative method,
ISTA,
FISTA,
image reconstruction
Related subjects:
Engineering,
Bioengineering and biomedical engineering,
Biomedical electronics,
Life sciences,
Biophysics,
Medicine,
Biomedical engineering,
Physics,
Spectroscopy and metrology

© 2025 Quoc Tuan Nguyen Diep, Hoang Nhut Huynh, Thanh Ven Huynh, Minh Quan Cao Dinh, Anh Tu Tran, Trung Nghia Tran, published by University of Oslo
This work is licensed under the Creative Commons Attribution 4.0 License.

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