Low rank alternating direction method of multipliers reconstruction for MR fingerprinting

Assländer, Jakob; Cloos, Martijn A.; Knoll, Florian; Sodickson, Daniel K.; Hennig, Jürgen; Lattanzi, Riccardo

doi:10.1002/mrm.26639

Cited by 171 publications

(308 citation statements)

References 37 publications

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“…b), for the in vivo and phantom experiments, respectively. Multiparametric maps (PD, T 1 , T 2 , B 1 + ) were reconstructed using an iterative approach . A dictionary with presimulated fingerprints was created using extended phase graphs .…”

Section: Methodsmentioning

confidence: 99%

Rapid Radial T₁ and T₂ Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

Cloos

Assländer

Abbas

et al. 2018

Magnetic Resonance Imaging

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Background Quantitative MRI can detect early changes in cartilage biochemical components, but its routine clinical implementation is challenging. Purpose To introduce a novel technique to measure T1 and T2 along radial sections of the hip for accurate and reproducible multiparametric quantitative cartilage assessment in a clinically feasible scan time. Study Type Reproducibility, technical validation. Subjects/Phantom A seven‐compartment phantom and three healthy volunteers. Field Strength/Sequence A novel MR pulse sequence that simultaneously measures proton density (PD), T1, and T2 at 3 T was developed. Automatic positioning and semiautomatic cartilage segmentation were implemented to improve consistency and simplify workflow. Assessment Intra‐ and interscanner variability of our technique was assessed over multiple scans on three different MR scanners. Statistical Tests For each scan, the median of cartilage T1 and T2 over six radial slices was calculated. Restricted maximum likelihood estimation of variance components was used to estimate intrasubject variances reflecting variation between results from the two scans using the same scanner (intrascanner variance) and variation among results from the three scanners (interscanner variance). Results The estimation error for T1 and T2 with respect to reference standard measurements was less than 3% on average for the phantom. The average interscanner coefficient of variation was 1.5% (1.2–1.9%) and 0.9% (0.0–3.7%) for T1 and T2, respectively, in the seven compartments of the phantom. Total scan time in vivo was 7:13 minutes to obtain PD, T1, and T2 maps along six radial hip sections at 0.6 × 0.6 × 4.0 mm3 voxel resolution. Interscanner variability for the in vivo study was 1.99% and 5.46% for T1 and T2, respectively. in vivo intrascanner variability was 1.15% for T1 and 3.24% for T2. Data Conclusion Our method, which includes slice positioning, model‐based parameter estimation, and cartilage segmentation, is highly reproducible. It could enable employing quantitative hip cartilage evaluation for longitudinal and multicenter studies. Level of Evidence: 1 Technical Efficacy: Stage 1 J. Magn. Reson. Imaging 2019;50:810–815.

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Section: Methodsmentioning

confidence: 99%

Rapid Radial T₁ and T₂ Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

Cloos

Assländer

Abbas

et al. 2018

Magnetic Resonance Imaging

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“…This can result in relatively long acquisition time, particularly for 3D volumetric imaging. Recent studies that utilized sliding-window (SW) reconstruction (Cao et al, 2016), and sparse and/or low-rank models (Assländer et al, 2017; Davies et al, 2014; Liao et al, 2016; Mazor et al, 2016; Zhao et al, 2017, 2016) can mitigate this aliasing issue, and accelerate 2D MRF acquisition by reducing the number of acquisition time points. On the other hand, applications of Simultaneous Multi-Slice (SMS) to MRF (Jiang et al, 2016; Ye et al, 2016a, 2016b) have also improved the time-efficiency of MRF by simultaneously encoding multiple slices and accelerate the data acquisition process.…”

Section: Introductionmentioning

confidence: 99%

3D MR fingerprinting with accelerated stack-of-spirals and hybrid sliding-window and GRAPPA reconstruction

Liao¹,

et al. 2017

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Purpose Whole-brain high-resolution quantitative imaging is extremely encoding intensive, and its rapid and robust acquisition remains a challenge. Here we present a 3D MR fingerprinting (MRF) acquisition with a hybrid sliding-window (SW) and GRAPPA reconstruction strategy to obtain high-resolution T1, T2 and proton density (PD) maps with whole brain coverage in a clinically feasible timeframe. Methods 3D MRF data were acquired using a highly under-sampled stack-of-spirals trajectory with a steady-state precession (FISP) sequence. For data reconstruction, kx-ky under-sampling was mitigated using SW combination along the temporal axis. Non-uniform fast Fourier transform (NUFFT) was then applied to create Cartesian k-space data that are fully-sampled in the in-plane direction, and Cartesian GRAPPA was performed to resolve kz under-sampling to create an alias-free SW dataset. T1, T2 and PD maps were then obtained using dictionary matching. Results Phantom study demonstrated that the proposed 3D-MRF acquisition/reconstruction method is able to produce quantitative maps that are consistent with conventional quantification techniques. Retrospectively under-sampled in vivo acquisition revealed that SW + GRAPPA substantially improves quantification accuracy over the current state-of-the-art accelerated 3D MRF. Prospectively under-sampled in vivo study showed that whole brain T1, T2 and PD maps with 1 mm3 resolution could be obtained in 7.5 min. Conclusions 3D MRF stack-of-spirals acquisition with hybrid SW + GRAPPA reconstruction may provide a feasible approach for rapid, high-resolution quantitative whole-brain imaging.

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“…Assländer et al 37 , who embed the left singular vectors in the solution. These methods show that exploiting the redundancy via a low-rank based solution improves the results compared to a sparsity approach.…”

Section: Introductionmentioning

confidence: 99%

Low rank magnetic resonance fingerprinting

Mazor¹,

Weizman²,

Tal³

et al. 2016

2016 38th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)

100

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Methods: We exploit the low rank property of the concatenated temporal imaging contrasts, on top of the fact that the MRF signal is sparsely represented in the generated dictionary domain. We present an iterative scheme that consists of a gradient step followed by a low rank projection using the singular value decomposition.Results: Experimental results consist of retrospective sampling, that allows comparison to a well defined reference, and prospective sampling that shows the performance of FLOR for a real-data sampling scenario. Both experiments demonstrate improved parameter accuracy compared to other compressed-sensing and low-rank based methods for MRF at 5% and 9% sampling ratios, for the retrospective and prospective experiments, respectively. Conclusions:We have shown through retrospective and prospective experiments that by exploiting the low rank nature of the MRF signal, FLOR recovers the MRF temporal undersampled images and provides more accurate parameter maps compared to previous iterative methods.

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Low rank alternating direction method of multipliers reconstruction for MR fingerprinting

Cited by 171 publications

References 37 publications

Rapid Radial T₁ and T₂ Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

Rapid Radial T₁ and T₂ Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

3D MR fingerprinting with accelerated stack-of-spirals and hybrid sliding-window and GRAPPA reconstruction

Low rank magnetic resonance fingerprinting

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Low rank alternating direction method of multipliers reconstruction for MR fingerprinting

Cited by 171 publications

References 37 publications

Rapid Radial T1 and T2 Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

Rapid Radial T1 and T2 Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

3D MR fingerprinting with accelerated stack-of-spirals and hybrid sliding-window and GRAPPA reconstruction

Low rank magnetic resonance fingerprinting

Contact Info

Product

Resources

About

Rapid Radial T₁ and T₂ Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting

Rapid Radial T₁ and T₂ Mapping of the Hip Articular Cartilage With Magnetic Resonance Fingerprinting