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PIER PIER B PIER C PIER M PIER Letters
2025-05-03
Finite Element Boundary Integral Approach for Inhomogeneous-Background Magnetic Resonance Electrical Properties Tomography
By
Yuyue Zhang,

    Mr. Yuyue Zhang

    Department of Electrical and Computer Engineering

    National University of Singapore

    Singapore

    Homepage

Hariharan Mohanabala Krishnan,

    Dr. Hariharan Mohanabala Krishnan

    Department of Electrical and Computer Engineering

    National University of Singapore

    Singapore

    Homepage

Tiantian Yin,

    Dr. Tiantian Yin

    National University of Singapore

    Singapore

    Homepage

Xudong Chen

    Professor Xudong Chen

    Department of Electrical & Computer Engineering

    National University of Singapore

    Singapore

    Homepage

Progress In Electromagnetics Research, Vol. 183, 33-44, 2025
doi:10.2528/PIER25021402
Abstract
This paper introduces a novel finite element boundary integral approach for magnetic resonance electrical properties tomography (MR-EPT) with an inhomogeneous background which improves imaging quality by utilizing inhomogeneous background inversion and allows for a flexible selection of areas for fine reconstruction, thereby saving resources and quickly obtaining the most important information. In the proposed approach, a fictitious inhomogeneous background is initialized, followed by a preliminary reconstruction conducted across the entire field of view (FOV) through a few iterations. This fictitious inhomogeneous background aims to enhance the quality of reconstruction, surpassing that achieved through inversion in a homogeneous background. The proposed method is significantly suitable to the prevailing refinement mechanism, where the refinement area identified from the preliminary reconstruction image is embedded in an inhomogeneous background. This method combines the advantages of the computational efficiency of local methods and the noise robustness of global methods. Numerical examples have validated that the inversion with a fictitious inhomogeneous background yields a superior reconstruction quality. The subsequent narrowing of the inversion area results in a more focused inversion process, significantly reducing reconstruction time.
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Citation
Yuyue Zhang, Hariharan Mohanabala Krishnan, Tiantian Yin, and Xudong Chen, "Finite Element Boundary Integral Approach for Inhomogeneous-Background Magnetic Resonance Electrical Properties Tomography," Progress In Electromagnetics Research, Vol. 183, 33-44, 2025.
doi:10.2528/PIER25021402
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