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A Matlab package for CORE-PI - a parameter-free parallel MRI reconstruction method

CORE-PI is a general reconstrution method, suitable for image reconstruction from multi-coil (parallel imaging) acquisition of 2D Cartesian k-space data. This method was published in: Shimron, Webb, Azhari, "CORE-PI: Non-iterative convolution-based reconstruction for parallel MRI in the wavelet domain." Medical Physics 46.1 (2019):199-214

CORE-PI is a parameter-free method, so users do not need to calibrate any params!

CORE-PI is enables flexible 1D undersampling of a 2D Cartesian k-space. The toolbox includes demos with various undersampling schemes - periodic, varying-period, variable-density and random schemes.

Prerequisites

A liscence for Matlab is required. The code was tested with Matlab2017R.

Getting Started

Clone or download the CORE-PI code.

Open the "main.m" function in Matlab, choose one example from the list, and run the code.

There are 9 reconstruction examples, divided to 3 groups:

  1. Analyltical brain phantom demos - reconstructions were performed for different subsampling schemes, all with a reduction factor (sub-sampling rate) of R=6:

    • Periodic
    • Varying-period
    • Variable-density
    • Random subsampling In all these demos CORE-PI was impelmented with wavelet 'db2'.
  2. Analyltical brain phantom demos in which CORE-PI was implemented using different wavelet types:

    • haar
    • coif1
    • sym4.
  3. In-vivo 7t brain scans demos - data was retrospectivly subsampled with R=4 (using periodic subsampling), and CORE-PI was impelmented with wavelet 'db2'.

Analaytical Brain Phantom demos - different subsampling schemes

Results for examples in group 1:

examples with different subsampling schemes

In-vivo 7T Brain Scans Demos

Example from group 3:

examples with different subsampling schemes

Acknowledgments

The in-vivo data is courtesy of Prof. Andrew G. Webb from Leiden University Medical Center (LUMC).

The Realistic Analytical Brain Phantom data was utilized here with permission from the authors of: Guerquin-Kern, Matthieu, et al. "Realistic analytical phantoms for parallel magnetic resonance imaging." IEEE Transactions on Medical Imaging 31.3 (2011): 626-636. If you use that data in your publications, please cite this paper.

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A Matlab toolbox for CORE-PI - a parameter-free parallel MRI reconstruction method

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