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    Area of Science:

    • Magnetic Resonance Imaging (MRI)
    • Compressed Sensing (CS)
    • Image Reconstruction

    Background:

    • Radial k-space trajectories are promising for fast MRI but require computationally intensive interpolations for compressed sensing (CS) reconstruction.
    • These interpolations introduce errors, limiting the quality of reconstructed images from under-sampled radial data.
    • Existing CS MRI methods using radial sampling face challenges in accuracy and detail preservation due to regridding processes.

    Purpose of the Study:

    • To introduce and evaluate a novel radial-like pseudo-polar (PP) trajectory for compressed sensing MRI (CS-MRI).
    • To demonstrate that PP trajectories enable image reconstruction via a Pseudo-Polar Fast Fourier Transform (PPFFT), eliminating interpolation errors.
    • To compare the performance of PP trajectory-based CS-MRI against conventional radial sampling methods.

    Main Methods:

    • Developed a radial-like pseudo-polar (PP) trajectory designed for CS-MRI applications.
    • Implemented image reconstruction using Pseudo-Polar Fast Fourier Transform (PPFFT), which relies on 1D FFT and fractional Fourier transform.
    • Validated the PP trajectory method using both numerical and experimental data, comparing it against traditional radial sampling CS-MRI.

    Main Results:

    • The PP trajectory-based CS-MRI achieved high-quality image reconstruction, showing over 2-dB gain in peak signal-to-noise ratio.
    • Structural similarity was maintained above 0.88 across various conditions, indicating robust performance.
    • The proposed method demonstrated superior accuracy in image detail/edge preservation and artifact suppression compared to conventional radial CS-MRI.

    Conclusions:

    • The pseudo-polar (PP) trajectory offers a practical and accurate alternative to radial trajectories for compressed sensing MRI (CS-MRI).
    • PPFFT-based reconstruction effectively overcomes the interpolation errors inherent in traditional radial CS-MRI methods.
    • This advancement facilitates rapid and high-fidelity MR imaging for potential clinical applications.