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Deconvolution-based distortion correction of EPI using analytic single-voxel point-spread functions.

Franz Patzig1, Toralf Mildner1, Torsten Schlumm1

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Summary

A new algorithm, DecoDisCo, corrects geometric distortions in Echo Planar Imaging (EPI) by using a point-spread function and deconvolution. This method improves image quality and intensity distribution, offering sharper images.

Keywords:
deconvolutionecho-planar imaginggeometric distortionmagnetic field inhomogeneitypoint-spread functiontransverse relaxation

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Image Processing
  • Biomedical Engineering

Background:

  • Echo Planar Imaging (EPI) is susceptible to geometric distortions caused by static magnetic field (B0) variations and signal relaxation.
  • Accurate geometric correction is crucial for reliable analysis of EPI data.

Purpose of the Study:

  • To develop a postprocessing algorithm for correcting geometric distortions in EPI.
  • To address distortions arising from spatial B0 variations and relaxation effects during signal acquisition.

Main Methods:

  • Developed an analytic complex point-spread function for EPI k-space trajectories.
  • Created a point-spread function matrix operator using B0 maps and relaxation times.
  • Applied Tikhonov-regularized deconvolution in image space for distortion correction.
  • Adapted an image combination algorithm to recover signal contributions.

Main Results:

  • The DecoDisCo algorithm demonstrated excellent distortion correction in phantom and volunteer studies.
  • Achieved superior performance in recovering undistorted intensity distribution compared to multifrequency reconstruction.
  • Showcased effectiveness across various EPI sequences, including standard and double-shot trajectories.
  • Enabled additional deblurring for sharper images, particularly with significant relaxation effects.

Conclusions:

  • Robust and high-quality distortion correction in EPI is achievable using regularized deconvolution with an analytic point-spread function.
  • The general algorithm is adaptable to specific EPI variants and other acquisition schemes.
  • The algorithm is publicly available on GitHub for broader application.