Wave‐LORAKS: Combining wave encoding with structured low‐rank matrix modeling for more highly accelerated 3D imaging

Purpose Wave‐CAIPI is a novel acquisition approach that enables highly accelerated 3D imaging. This paper investigates the combination of Wave‐CAIPI with LORAKS‐based reconstruction (Wave‐LORAKS) to enable even further acceleration. Methods LORAKS is a constrained image reconstruction framework that can impose spatial support, smooth phase, sparsity, and/or parallel imaging constraints. LORAKS requires minimal prior information, and instead uses the low‐rank subspace structure of the raw data to automatically learn which constraints to impose and how to impose them. Previous LORAKS implementations addressed 2D image reconstruction problems. In this work, several recent advances in structured low‐rank matrix recovery were combined to enable large‐scale 3D Wave‐LORAKS reconstruction with improved quality and computational efficiency. Wave‐LORAKS was investigated by retrospective subsampling of two fully sampled Wave‐encoded 3D MPRAGE datasets, and comparisons were made against existing Wave reconstruction approaches. Results Results show that Wave‐LORAKS can yield higher reconstruction quality with 16×‐accelerated data than is obtained by traditional Wave‐CAIPI with 9×‐accerated data. Conclusions There are strong synergies between Wave encoding and LORAKS, which enables Wave‐LORAKS to achieve higher acceleration and more flexible sampling compared to Wave‐CAIPI.