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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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Improving image quality for skipped phase encoding and edge deghosting (SPEED) by exploiting several sparsifying

Zhaoyang Jin1, Haihui Ye2, Yiping P Du3

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Summary

New transforms improve skipped phase encoding and edge deghosting (SPEED) MRI scans. Advanced methods like discrete wavelet transform (DWT) and discrete cosine transform (DCT) enhance image quality and reduce reconstruction errors.

Keywords:
SPEEDdifference transformdiscrete cosine transformdiscrete wavelet transformfast imagingsparsifying transform

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Image Reconstruction
  • Signal Processing

Background:

  • Skipped phase encoding and edge deghosting (SPEED) accelerates MRI scans.
  • Traditional SPEED methods utilize difference transform (DT) for ghost artifact reduction.

Purpose of the Study:

  • To enhance MRI image quality in SPEED by exploring alternative sparsifying transforms.
  • To investigate the efficacy of discrete wavelet transform (DWT) and discrete cosine transform (DCT) in SPEED.

Main Methods:

  • Implemented SPEED with DWT, DCT, and combined DWT/DCT transforms.
  • Compared performance against the traditional DT-based SPEED method.
  • Evaluated image quality and reconstruction error on human subject images.

Main Results:

  • SPEED utilizing DWT or DCT demonstrated superior image quality compared to DT alone, particularly for low-contrast images.
  • Combining DWT or DCT with DT further reduced reconstruction errors.
  • Advanced transforms significantly improved sparsity for better deghosting.

Conclusions:

  • Enhanced image sparsity through advanced transforms improves reconstruction quality in SPEED imaging.
  • DWT and DCT offer significant advantages over traditional DT for SPEED MRI.
  • These findings support the practical application of advanced transforms in clinical MRI.