3D ELECTRICAL IMPEDANCE TOMOGRAPHY RECONSTRUCTIONS FROM SIMULATED ELECTRODE DATA USING DIRECT INVERSION t^exp AND...

Area of Science:

• Electrical Impedance Tomography (EIT)
• Computational Electromagnetics
• Applied Mathematics

Background:

• Electrical Impedance Tomography (EIT) enables non-invasive imaging of internal conductivity distributions.
• Previous t-methods in 2D EIT demonstrated robust real-time conductivity reconstructions.
• 3D EIT implementations have lagged behind 2D due to computational complexity and data requirements.

Purpose of the Study:

• To present the first numerical implementation of the t-method for 3D EIT using simulated electrode data.
• To evaluate the performance of the 3D t-method against established methods like Calderón's, TV, and smoothness regularization.
• To assess the potential of the 3D t-method for real-time conductivity and permittivity imaging.

Main Methods:

• Developed a 3D numerical implementation of the t-method for EIT.
• Utilized tailor-made non-linear Fourier transforms with measured current and voltage data.
• Applied low-pass filtering in the non-linear Fourier domain for reconstruction stabilization.

Main Results:

• The 3D t-method successfully reconstructed conductivity and permittivity for disjoint, non-radially symmetric targets.
• Performance was comparable to the Calderón method and superior to traditional regularization techniques.
• The method demonstrated robustness with noisy voltage data on spherical domains.

Conclusions:

• The 3D t-method is a viable and promising approach for EIT reconstructions.
• It achieves comparable quality to 2D counterparts and offers potential for real-time applications.
• The fast, non-optimized computational cost makes it suitable for time-sensitive imaging scenarios.