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Weak-harmonic regularization for quantitative susceptibility mapping

delete2018-09-28
delete21
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OA
AI
B
Berkin Bilgic̦
B
Bo Zhao
C
Christian Langkammer
T
Tejos, Cristian
J
Julio Acosta‐Cabronero
DOI:10.1002/mrm.27483delete
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摘要

摘要

En 中文
Purpose: Background-field removal is a crucial preprocessing step for quantitative susceptibility mapping (QSM). Remnants from this step often contaminate the estimated local field, which in turn leads to erroneous tissue-susceptibility reconstructions. The present work aimed to mitigate this undesirable behavior with the development of a new approach that simultaneously decouples background contributions and local susceptibility sources on QSM inversion. Methods: Input phase data for QSM can be seen as a composite scalar field of local effects and residual background components. We developed a new weak-harmonic regularizer to constrain the latter and to separate the 2 components. The resulting optimization problem was solved with the alternating directions of multipliers method framework to achieve fast convergence. In addition, for convenience, a new alternating directions of multipliers method-based preconditioned nonlinear projection onto dipole fields solver was developed to enable initializations with wrapped-phase distributions. Weak-harmonic QSM, with and without nonlinear projection onto dipole fields preconditioning, was compared with the original (alternating directions of multipliers method-based) total variation QSM algorithm in phantom and in vivo experiments. Results: Weak-harmonic QSM returned improved reconstructions regardless of the method used for background-field removal, although the proposed nonlinear projection onto dipole fields method often obtained better results. Streaking and shadowing artifacts were substantially suppressed, and residual background components were effectively removed. Conclusion: Weak-harmonic QSM with field preconditioning is a robust dipole inversion technique and has the potential to be extended as a single-step formulation for initialization with uncombined multi-echo data.
Keyword:
alternating direction method of multipliers (ADMM)
augmented lagrangian
background field removal
nonlinear inversion
total variation
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期刊

Magnetic Resonance in Medicine 封面图
Magnetic Resonance in Medicine
IF:
3
论文数:
1.2W
被引数:
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Medical University of Graz
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Harvard University
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Pontificia Universidad Catolica de Chile
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Harvard Medical School
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被引数: 91
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