Contains the code for image reconstruction of Double Half-Echo 23Na and accelerated 23Na MQC MRI as presented in: Licht C, Reichert S, Bydder M, et al. Low-rank reconstruction for simultaneous double half-echo 23Na and undersampled 23Na multi-quantum coherences MRI. Magn Reson Med. 2024; 1-16. doi: 10.1002/mrm.30132
Please see the following papers for details:
(1) Bydder M, Ali F, Ghodrati V, Hu P, Yao J, Ellingson BM. Minimizing echo and repetition times in magnetic resonance imaging using a double half-echo k-space acquisition and low-rank reconstruction. NMR Biomed. 2021 Apr;34(4):e4458. doi: 10.1002/nbm.4458. Epub 2020 Dec 9. PMID: 33300182; PMCID: PMC7935763.
(2) Bydder M, Ali F, Saucedo A, Ghodrati V, Samsonov A, Akhtari M, Wang C, Hagiwara A, Yao J, Ellingson B. Low rank off-resonance correction for double half-echo k-space acquisitions. Magn Reson Imaging. 2022 Dec;94:43-47. doi: 10.1016/j.mri.2022.08.017. Epub 2022 Sep 14. PMID: 36113740.
(3) Shin PJ, Larson PE, Ohliger MA, Elad M, Pauly JM, Vigneron DB, Lustig M. Calibrationless parallel imaging reconstruction based on structured low-rank matrix completion. Magn Reson Med. 2014 Oct;72(4):959-70. doi: 10.1002/mrm.24997. Epub 2013 Nov 18. PMID: 24248734; PMCID: PMC4025999.
The code is based on the implementations of Mark Bydder and can be found here: