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Table 11 Algorithms for implementing each stage of QSM reconstruction based on the method of research projects reviewed in this study.

From: Early differentiation of neurodegenerative diseases using the novel QSM technique: what is the biomarker of each disorder?

 

Cogswell et al. [8]

Gong [43]

Kim et al. [45]

Moon et al. [47]

Acosta-Cabronero et al. [44]

Au et al. [49]

Li et al. [52]

Fedeli et al. [54]

Ide et al. [55]

QSM Compution

Sparse linear equations and least squares (LSQR) method

Using an iLSQR algorithm

Morphology Enabled Dipole Inversion (MEDI)

To calculate the quantitative susceptibility map (QSM)

Truncated k-space division method

Streaking artifact reduction for QSM (STAR-QSM)

L1-norm total-variationbased regularization algorithm

Streaking artifacts reduction (STAR) algorithm

Morphology enabled dipole inversion (MEDI)

Background Phase Removal

–

Spherical mean value filtering with an initial kernel width of 30 voxels

and the kernel width decreasing toward the tissue boundary

Projection onto dipole fields (PDF)

By using projection onto the dipole field (PDF)

 

Variable spherical kernel size (V-SHARP) method

RE-SHARP

V-SHARP

 

Phase Unwrapping

Laplacian-based

Using a Laplacian-based phase unwrapping algorithm

 

Performing nonlinear fit to the multi-echo data

The Laplacian-based method

Laplacian-based algorithm

Laplacian-based algorithm

Laplacian-based phase unwrapping

 

Brain tissue mask Extraction

Align the TIV mask with the magnitude and phase GRE images

Using magnitude image

  

Brain extraction tool (BET)

    
 

Shahmaei et al. [51]

Pu et al. [50]

Spincemaille et al. [33]

Li et al. [34]

Sun and Wilman [32]

Li et al. [35]

Li et al. [73]

QSM Compution

 

Using fast STAR-QSM algorithm

The morphology-enabled dipole inversion (MEDI) algorithm

Modified structural feature based collaborative reconstruction algorithm (SFCR)

With regularization parameter of 5 \(\times \) 10–4 and total variation technique

Truncated k-space division (TKD) based inverse filtering technique

Using streaking artifact reduction

Background Phase Removal

Using a high pass filter and a SHARP filter

V_SHARP method

The projection onto dipole field algorithm to yield the local field

V-SHARP method

Regularization enabled sophisticated harmonic artifact reduction for phase data (RESHARP)

The sophisticated harmonic artifact reduction (SHARP)

Using the V_SHARP method

Phase Unwrapping

 

Laplacian based phase unwrapping

 

Using Laplacian based

Laplacian based phase unwrapping

3D phase unwrapping algorithm (3DSRNCP) skipped for the simulated data too

Laplacian based phase unwrapping

Brain tissue mask Extraction

Brain extraction tool (BET)

Brain extraction tool (BET)

Brain extraction tool (BET)

 

Brain extraction tool (BET)

Brain extraction tool (BET)

Brain extraction tool (BET)