zoonono / HICU

A convolutional framework for calibrationless MRI

High-dimensional Fast Convolutional Framework (HICU) for Calibrationless MRI

HICU is a computational procedure for accelerated, calibrationless magnetic resonance image reconstruction that is fast, memory efficient, and ready to scale to highdimensional imaging. For demonstration, HICU is applied to multi-coil 2D static imaging, multi-coil 2D dyanmic (2D+T) imaging, and 3D knee imaging.

• Shen Zhao, The Ohio State University ([e-mail], [e-mail])
• Lee C. Potter, The Ohio State University ([e-mail])
• Rizwan Ahmad, The Ohio State University ([e-mail])

2D

1. One 2D T2-weighted parallel MRI k-space dataset (https://fastmri.med.nyu.edu/) and four sampling masks are in the folder 2D/2D_data.
2. The HICU reconstruction subroutine for 2D is in 2D/HICUsubroutine_2D.m.
3. The optional nondecimated wavelet denoiser is in the file 2D/SWT_denoiser.m.
4. To implement the reconstruction for 2D, run file 2D/main.m.

2D+T

1. One 2D+T cardiac cine parallel MRI k-space and two sampling masks are in 2D_T/2D+T_Data.
2. The HICU reconstruction subroutine for 2D+T is in 2D+T/HICUsubroutine_2D_T.m.
3. To implement the reconstruction for 2D+T, run file 2D+T/main.m

3D

1. One 3D knee parallel MRI k-space and two sampling masks are in 3D/3D_Data.
2. The HICU reconstruction subroutine for 3D is in 3D/HICUsubroutine_3D.m.
3. To implement the reconstruction for 3D, run file 3D/main.m

References

1. Zhao, Shen, Lee C. Potter, and Rizwan Ahmad. "High‐dimensional fast convolutional framework (HICU) for calibrationless MRI." Magnetic Resonance in Medicine 86.3 (2021): 1212-1225. https://onlinelibrary.wiley.com/doi/full/10.1002/mrm.28721?casa_token=9S2bjS4hh-gAAAAA%3AFwqvc1PrAQnBHDWNVAaZ75LCK317EzJkgPe1SUn4fgOtHfkA2wz8shxbp-zAZfK7ZhyMjcTyJwomVJbL (The Algorithm 1 is missing in original version but can be found in the correction and arXiv version.)
2. Zhao, Shen, Lee C. Potter, and Rizwan Ahmad. "Calibrationless MRI Reconstruction with a Plug-in Denoiser." 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI). IEEE, 2021. https://ieeexplore.ieee.org/abstract/document/9433815?casa_token=MKEsGd6m7UwAAAAA:ZHFHDLDIaQCR_KE8aVYM3oDfW2FrnY5-wfjTnxcPOz8vmU46bX-NNrGR32qSHcROWTaW1-oxYw

Algorithm