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The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...
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    A new induced-current learning method (ICLM) uses a cascaded end-to-end convolutional neural network (CEE-CNN) to solve nonlinear electrical impedance tomography (EIT) problems. This method reconstructs electrical properties quickly and accurately, even with noisy data.

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    Area of Science:

    • Biomedical Engineering
    • Computational Imaging
    • Electrical Engineering

    Background:

    • Electrical impedance tomography (EIT) reconstructs internal electrical properties from surface measurements.
    • Nonlinear EIT problems pose significant reconstruction challenges.
    • Current methods often struggle with speed, accuracy, and noise robustness.

    Purpose of the Study:

    • To propose and validate a novel Induced-Current Learning Method (ICLM) for solving nonlinear EIT problems.
    • To develop a specialized Convolutional Neural Network (CNN) architecture for efficient EIT reconstruction.
    • To enhance the robustness and speed of EIT imaging.

    Main Methods:

    • Developed a Cascaded End-to-End Convolutional Neural Network (CEE-CNN) implementing the ICLM.
    • Designed a combined objective function and multiple labels to reduce EIT nonlinearities.
    • Utilized induced contrast current (ICC) and updated electrical fields as input, with ICC as output.
    • Incorporated skip connections to focus learning on unknown ICC components.

    Main Results:

    • ICLM, implemented via CEE-CNN, solves typical EIT problems in under 1 second.
    • Achieved high-quality image reconstruction.
    • Demonstrated significant robustness against measurement noise and modeling errors, including inaccurate boundary data.

    Conclusions:

    • The proposed ICLM with CEE-CNN offers a fast and accurate solution for nonlinear EIT.
    • The novel input/output strategy and network architecture effectively address EIT challenges.
    • ICLM shows strong potential for practical EIT applications requiring high fidelity and resilience.