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A fast sinc function gridding algorithm for fourier inversion in computer tomography.

J D O'Sullivan

    IEEE Transactions on Medical Imaging
    |January 1, 1985
    PubMed
    Summary
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    This study introduces an efficient gridding algorithm for Fourier inversion in computerized tomography, overcoming interpolation challenges to reduce image artifacts. This method enhances image reconstruction accuracy and computational speed.

    Area of Science:

    • Medical Imaging
    • Computational Science
    • Image Reconstruction

    Background:

    • Computerized tomography (CT) image reconstruction often uses back-projection, but Fourier inversion offers computational advantages.
    • Fourier inversion's application is limited by difficulties in interpolating data from measurement grids to Cartesian grids.
    • Inaccurate interpolation in Fourier inversion leads to artifacts, hindering its widespread use.

    Purpose of the Study:

    • To present a computationally efficient gridding algorithm for Fourier inversion in CT.
    • To address the challenge of interpolating data for accurate Fourier-based image reconstruction.
    • To enable the use of Fourier inversion with minimal artifacts in medical imaging.

    Main Methods:

    • Developed a novel gridding algorithm for efficient data interpolation.

    Related Experiment Videos

  • Integrated the gridding algorithm with direct Fourier transformation for image reconstruction.
  • Evaluated the algorithm's performance in reducing artifacts in CT images.

    • Main Results:

    • The proposed gridding algorithm significantly reduces interpolation-related artifacts.
    • Achieved arbitrarily small artifact levels with direct Fourier transformation.
    • Demonstrated the computational efficiency of the new gridding method.

    Conclusions:

    • The developed gridding algorithm makes Fourier inversion a viable and accurate method for CT image reconstruction.
    • This approach overcomes previous limitations, offering a faster and more precise alternative to back-projection.
    • The method shows promise for various imaging modalities beyond CT.