Milovic, C;
Prieto, C;
Bilgic, B;
Uribe, S;
Acosta-Cabronero, J;
Irarrazaval, P;
Tejos, C;
(2021)
Comparison of parameter optimization methods for quantitative susceptibility mapping.
Magnetic Resonance in Medicine
, 85
(1)
pp. 480-494.
10.1002/mrm.28435.
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Abstract
Purpose: Quantitative Susceptibility Mapping (QSM) is usually performed by minimizing a functional with data fidelity and regularization terms. A weighting parameter controls the balance between these terms. There is a need for techniques to find the proper balance that avoids artifact propagation and loss of details. Finding the point of maximum curvature in the L‐curve is a popular choice, although it is slow, often unreliable when using variational penalties, and has a tendency to yield overregularized results. / Methods: We propose 2 alternative approaches to control the balance between the data fidelity and regularization terms: 1) searching for an inflection point in the log‐log domain of the L‐curve, and 2) comparing frequency components of QSM reconstructions. We compare these methods against the conventional L‐curve and U‐curve approaches. Results Our methods achieve predicted parameters that are better correlated with RMS error, high‐frequency error norm, and structural similarity metric‐based parameter optimizations than those obtained with traditional methods. The inflection point yields less overregularization and lower errors than traditional alternatives. The frequency analysis yields more visually appealing results, although with larger RMS error. / Conclusion: Our methods provide a robust parameter optimization framework for variational penalties in QSM reconstruction. The L‐curve–based zero‐curvature search produced almost optimal results for typical QSM acquisition settings. The frequency analysis method may use a 1.5 to 2.0 correction factor to apply it as a stand‐alone method for a wider range of signal‐to‐noise‐ratio settings. This approach may also benefit from fast search algorithms such as the binary search to speed up the process.
| Type: | Article |
|---|---|
| Title: | Comparison of parameter optimization methods for quantitative susceptibility mapping |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/mrm.28435 |
| Publisher version: | http://dx.doi.org/10.1002/mrm.28435 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | QSM, Total Variation, Augmented Lagrangian, Alternating Direction Method of Multipliers (ADMM) |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10108089 |
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