# Systematic review of reconstruction techniques for accelerated quantitative MRI ## **4.1 Indirect reconstruction** ### 4.1.1 Image reconstruction #### **4.1.1.1. Multi-contrast PI**

Title	Link to data	Link to code		Parameter estimation	First Author last name
Streamlined magnetic resonance fingerprinting: Fast whole-brain coverage with deep-learning based parameter estimation	NA	Code	DOI	Learning-based estimation	Khajehim

#### 4.1.1.2. Regularized reconstruction

Title	Link to data	Link to code		DOI	Parameter estimation
Incorporation of prior knowledge of signal behavior into the reconstruction to accelerate the acquisition of diffusion MRI data	NA	Code	Abascal	DOI	Model fitting
Multi T1-weighted contrast imaging and T1 mapping with Compressed sensing FLAWS at 3T	NA	Code	Beaumont		Model fitting
High-dimensionality undersampled patch-based reconstruction (HD-PROST) for accelerated multi-contrast MRI	NA	Code	Bustin	DOI	Dictionary matching
Multi-shot diffusion-weighted MRI reconstruction with magnitude-based spatial-angular locally low-rank regularization (SPA-LLR)	NA	Code	Hu	https://doi.org/10.1002/mrm.28025	Model fitting
Multishot Diffusion-Weighted MRI of the Breast With Multiplexed Sensitivity Encoding (MUSE) and Shot Locally Low-Rank (Shot-LLR) Reconstructions	NA	Code	Hu	https://doi.org/10.1002/jmri.27383	Model fitting
Accelerating cardiac diffusion tensor imaging combining local low-rank and 3D TV constraint	Data	NA	Huang	https://doi.org/10.1007/s10334-019-00747-1	Model fitting
Low-rank magnetic resonance fingerprinting	NA	Code	Mazor	https://doi.org/10.1002/mp.13078	Dictionary matching
Motion-corrected and high-resolution anatomically assisted (MOCHA) reconstruction of arterial spin labeling MRI	NA	Code	Mehranian	https://doi.org/10.1002/mrm.28205	Model fitting
Accelerating t1ρ cartilage imaging using compressed sensing with iterative locally adapted support detection and JSENSE	NA	Code	Zhou	https://doi.org/10.1002/mrm.25773	Model fitting

#### 4.1.1.3. Subspace constrained reconstruction

Title	Link to data	Link to code
Low rank alternating direction method of multipliers reconstruction for MR fingerprinting	NA	Code	Asslander	https://doi.org/10.1002/mrm.26639	Dictionary matching
Highly accelerated multishot echo planar imaging through synergistic machine learning and joint reconstruction	Data	Code	Bilgic	https://doi.org/10.1002/mrm.27813	model fitting
Echo planar time-resolved imaging with Subspace constrained reconstruction and optimized spatiotemporal encoding	NA	Code1 Code2	Dong	https://doi.org/10.1002/mrm.28295	Model fitting
Variable flip angle echo planar time-resolved imaging (vFA-EPTI) for fast high-resolution gradient echo myelin water imaging	Data	Code	Dong	https://doi.org/10.1016/j.neuroimage.2021.117897	Model fitting
CoverBLIP: accelerated and scalable iterative matched-filtering for magnetic resonance fingerprint reconstruction	NA	Code	Golbabaee	https://doi.org/10.1088/1361-6420/ab4c9a	Dictionary matching
Compressive MRI quantification using convex spatiotemporal priors and deep encoder-decoder networks	NA	Code	Golbabaee	https://doi.org/10.1016/j.media.2020.101945	Learning-based estimation
Acceleration of MR parameter mapping using annihilating filter-based low rank hankel matrix (ALOHA)	NA	Code	Lee	https://doi.org/10.1002/mrm.26081	Model fitting
Low-rank inversion reconstruction for through-plane accelerated radial MR fingerprinting applied to relaxometry at 0.35 T	Data	Code	Mickevicius	https://doi.org/10.1002/mrm.29244	Dictionary matching
Using a local low rank plus sparse reconstruction to accelerate dynamic hyperpolarized 13C imaging using the bSSFP sequence	NA	Code	Milshteyn	https://doi.org/10.1016/j.jmr.2018.03.006	Model fitting
Joint T1 and T2 Mapping With Tiny Dictionaries and Subspace constrained-Constrained Reconstruction	Data	Code	Roeloffs	10.1109/TMI.2019.2939130	Model fitting
3D Echo Planar Time-resolved Imaging (3D-EPTI) for ultrafast multi-parametric quantitative MRI	Data	Code	Wang	https://doi.org/10.1016/j.neuroimage.2022.118963	Dictionary matching
An MR fingerprinting approach for quantitative inhomogeneous magnetization transfer imaging	NA	Code	West	https://doi.org/10.1002/mrm.28984	Dictionary matching
Blip up-down acquisition for spin- and gradient-echo imaging (BUDA-SAGE) with self-supervised denoising enables efficient T2, T2*, para- and dia-magnetic susceptibility mapping	Data	Code	Zhang	https://doi.org/10.1002/mrm.29219	Model fitting
Cramér–Rao bound-informed training of neural networks for quantitative MRI	NA	Code	Zhang	https://doi.org/10.1002/mrm.29206	Learning-based estimation
Improved magnetic resonance fingerprinting reconstruction with low-rank and Subspace constrained modeling	NA	Code	Zhao	https://doi.org/10.1002/mrm.26701	Dictionary matching

#### 4.1.1.4. View-sharing reconstruction

Title	Link to data	Link to code
Accelerated magnetic resonance fingerprinting using soft-weighted key-hole (MRF-SOHO)	Data	NA	Cruz		View-sharing reconstruction	Dictionary matching

#### 4.1.1.5. Learning-based reconstruction

Title	Link to data	Link to code
Modl-mussels: Model-based deep learning for multishot sensitivity-encoded diffusion mri	Data	Code	Aggarwal	10.1109/tmi.2019.2946501	Learning-based reconstruction	Model fitting
Accelerating quantitative susceptibility and R2* mapping using incoherent undersampling and deep neural network reconstruction	NA	Code	Gao	https://doi.org/10.1016/j.neuroimage.2021.118404	Learning-based reconstruction	Model fitting
RUN-UP: Accelerated multishot diffusion-weighted MRI reconstruction using an unrolled network with U-Net as priors	NA	Code	Hu	https://doi.org/10.1002/mrm.28446	Learning-based reconstruction	Model fitting

### 4.1.2 Parameter estimation #### 4.1.2.1. Dictionary matching

Title	Link to data	Link to code
Low rank alternating direction method of multipliers reconstruction for MR fingerprinting	NA	Code	Asslander	https://doi.org/10.1002/mrm.26639	Subspace constrained reconstruction
Rapid and accurate T2 mapping from multi–spin‐echo data using Bloch‐simulation‐based reconstruction	NA	Code	Ben-Eliezer	https://doi.org/10.1002/mrm.25156	FTc
High-dimensionality undersampled patch-based reconstruction (HD-PROST) for accelerated multi-contrast MRI	NA	Code	Bustin	https://doi.org/10.1002/mrm.27694	Regularized reconstruction
Accelerated magnetic resonance fingerprinting using soft-weighted key-hole (MRF-SOHO)	Data	NA	Cruz	https://doi.org/10.1371/journal.pone.0201808	View-sharing reconstruction
CoverBLIP: accelerated and scalable iterative matched-filtering for magnetic resonance fingerprint reconstruction	NA	Code	Golbabaee	https://doi.org/10.1088/1361-6420/ab4c9a	Subspace constrained reconstruction
Phase unwinding for dictionary compression with multiple channel transmission in magnetic resonance fingerprinting	NA	Code	Lattanzi	https://doi.org/10.1016/j.mri.2017.12.015	FTc
Low-rank magnetic resonance fingerprinting	NA	Code	Mazor	https://doi.org/10.1002/mp.13078	Regularized reconstruction
Low-rank inversion reconstruction for through-plane accelerated radial MR fingerprinting applied to relaxometry at 0.35 T	Data	Code	Mickevicius	https://doi.org/10.1002/mrm.29244	Subspace constrained reconstruction
Fast multi-component analysis using a joint sparsity constraint for MR fingerprinting	NA	Code	Nagtegaal	https://doi.org/10.1002/mrm.27947	FTc
An Efficient Method for Multi-Parameter Mapping in Quantitative MRI Using B-Spline Interpolation	NA	Code	Valenberg	10.1109/TMI.2019.2954751	FTc
3D Echo Planar Time-resolved Imaging (3D-EPTI) for ultrafast multi-parametric quantitative MRI	Data	Code	Wang	https://doi.org/10.1016/j.neuroimage.2022.118963	Subspace constrained reconstruction
An MR fingerprinting approach for quantitative inhomogeneous magnetization transfer imaging	NA	Code	West	https://doi.org/10.1002/mrm.28984	Subspace constrained reconstruction
Improved magnetic resonance fingerprinting reconstruction with low-rank and Subspace constrained modeling	NA	Code	Zhao	https://doi.org/10.1002/mrm.26701	Subspace constrained reconstruction

#### 4.1.2.2. Learning-based estimation

Title	Link to data	Link to code
Spatially regularized parametric map reconstruction for fast magnetic resonance fingerprinting	NA	Code	Balsiger	https://doi.org/10.1016/j.media.2020.101741	FTc
Quantification of relaxation times in MR Fingerprinting using deep learning	NA	Code	Fang	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5909960/	FTc
Compressive MRI quantification using convex spatiotemporal priors and deep encoder-decoder networks	NA	Code	Golbabaee	https://doi.org/10.1016/j.media.2020.101945	Subspace constrained reconstruction
Streamlined magnetic resonance fingerprinting: Fast whole-brain coverage with deep-learning based parameter estimation	NA	Code	Khajehim	https://doi.org/10.1016/j.neuroimage.2021.118237	Multi-contrast PI
Cramér–Rao bound-informed training of neural networks for quantitative MRI	NA	Code	Zhang	https://doi.org/10.1002/mrm.29206	Subspace constrained reconstruction

## 4.2 Direct reconstruction ### 4.2.1 Direct model-based reconstruction

Title	Link to data	Link to code
Accelerated and motion-robust in vivo T2 mapping from radially undersampled data using bloch-simulation-based iterative reconstruction	NA	Code	Ben-Eliezer	https://doi.org/10.1002/mrm.25558
Stochastic Gradient Langevin dynamics for joint parameterization of tracer kinetic models, input functions, and T1 relaxation-times from undersampled k-space DCE-MRI	NA	Code	Dikaios	https://doi.org/10.1016/j.media.2020.101690
Accelerated MRI thermometry by direct estimation of temperature from undersampled k-space data	NA	Code	Gaur	https://dx.doi.org/10.1002%2Fmrm.25327
Direct estimation of tracer-kinetic parameter maps from highly undersampled brain dynamic contrast enhanced MRI	Data	Code	Guo	https://doi.org/10.1002/mrm.26540
Embedded Quantitative MRI T1rho Mapping Using Non-Linear Primal-Dual Proximal Splitting	Data	Code	Hanhela	https://doi.org/10.3390/jimaging8060157
Rapid T1 quantification from high resolution 3D data with model-based reconstruction	NA	Code	Maier	https://doi.org/10.1002/mrm.27502
Fast T2 mapping with improved accuracy using undersampled spin-echo MRI and model-based reconstructions with a generating function	NA	Code	Sumpf	https://doi.org/10.1109/tmi.2014.2333370
Model-based acceleration of Look-Locker T1 mapping	Data	Code	Tran-Gia	https://doi.org/10.1371/journal.pone.0122611
Model-based myocardial T1 mapping with sparsity constraints using single-shot inversion-recovery radial FLASH cardiovascular magnetic resonance	NA	Code	Wang	https://doi.org/10.1186/s12968-019-0570-3
Model-based reconstruction for simultaneous multi-slice T1 mapping using single-shot inversion-recovery radial FLASH	Data	Code	Wang	https://doi.org/10.1002/mrm.28497
Sparse precontrast T1 mapping for high-resolution whole-brain DCE-MRI	Data	Code	Zhu	https://doi.org/10.1002/mrm.28849