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Quantitative comparison of GRAPPA and RAKI simultaneous multi-slice reconstruction algorithms.
Tyler Gallun1, Nikolai J Mickevicius1
1Department of Biophysics, Medical College of Wisconsin, Milwaukee, WI, USA.
Magnetic Resonance Imaging
|May 1, 2026
Summary
This study quantitatively compares simultaneous multislice (SMS) reconstruction algorithms, finding that nonlinear RAKI methods generally outperform linear GRAPPA, especially at higher acceleration factors. An open-source toolbox for GPU-accelerated SMS reconstructions is also provided.
Area of Science:
- Medical Imaging
- Image Reconstruction
- Magnetic Resonance Imaging (MRI)
Background:
- Simultaneous multislice (SMS) imaging accelerates MRI acquisition by exciting and acquiring data from multiple slices concurrently.
- Traditional reconstruction methods like GRAPPA have limitations, especially at higher acceleration factors.
- Data-driven, nonlinear methods like RAKI offer potential for improved image quality in SMS imaging.
Purpose of the Study:
- To quantitatively compare various k-space interpolation-based SMS reconstruction algorithms.
- To evaluate both linear GRAPPA and nonlinear, data-driven RAKI methods.
- To provide an open-source toolbox for GPU-accelerated SMS reconstructions.
Main Methods:
- Comparison of Slice-GRAPPA, split-slice-GRAPPA, readout-SENSE-GRAPPA, and RAKI reconstructions.
- Quantitative performance evaluation using whole-image SSIM and coefficient of variation (CV).
- Statistical analysis (ANOVA, Kruskal-Wallis) to determine significant differences and optimal hyperparameters for RAKI.
Main Results:
- RAKI methods generally yielded higher SSIM values than GRAPPA counterparts, particularly at net acceleration factors (Rnet) > 4.
- Specific RAKI methods (readout SENSE-RAKI, split-slice-RAKI) performed well for Rnet ≥ 8.
- Optimal RAKI hyperparameters identified as 500 epochs, 3 hidden layers, and 128 neurons per layer for a balance of speed and performance.
Conclusions:
- Nonlinear RAKI methods demonstrate superior performance over linear GRAPPA for SMS reconstruction, especially at high acceleration.
- Specific GRAPPA and RAKI algorithms show good performance within certain acceleration ranges (Rnet ≤ 6 and Rnet ≥ 8).
- Findings provide a foundation for hyperparameter tuning and development of GPU-accelerated SMS reconstruction toolboxes, though dataset-specific limitations exist.

