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Single-step quantitative susceptibility mapping with variational penalties.

Itthi Chatnuntawech1, Patrick McDaniel1, Stephen F Cauley2,3

  • 1Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, USA.

NMR in Biomedicine
|June 23, 2016
PubMed
Summary
This summary is machine-generated.

New single-step quantitative susceptibility mapping (QSM) methods improve accuracy and reduce artifacts by combining background removal and dipole inversion. These advanced algorithms offer better magnetic susceptibility estimation for medical imaging.

Keywords:
Wave-CAIPIalternating direction method of multipliers (ADMM)quantitative susceptibility mapping (QSM)total generalized variation (TGV)total variation (TV)

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Area of Science:

  • Medical Imaging
  • Biophysics
  • Computational Neuroscience

Background:

  • Quantitative susceptibility mapping (QSM) traditionally involves multi-step processes for magnetic susceptibility estimation.
  • These steps, background phase removal and dipole inversion, are ill-posed inverse problems requiring regularization.
  • Existing methods can be complex and prone to artifacts, necessitating improved algorithms.

Purpose of the Study:

  • To develop and validate efficient single-step QSM algorithms.
  • To mitigate artifacts and improve the accuracy of magnetic susceptibility mapping.
  • To integrate background removal and dipole inversion into a unified framework.

Main Methods:

  • Employed total variation (TV) and total generalized variation (TGV) for joint background removal and dipole inversion.
  • Utilized multiple spherical mean value (SMV) kernels for high-fidelity background removal while preserving cortical phase information.
  • Developed algorithms with simple analytical solutions for optimization steps.

Main Results:

  • Numerical simulations showed up to a 66% reduction in reconstruction error compared to multi-step methods.
  • In vivo experiments demonstrated significant reduction in dipole streaking artifacts.
  • Achieved improved homogeneity of image contrast using rapid 3D EPI and Wave-CAIPI trajectories.

Conclusions:

  • Single-step QSM offers a more efficient and accurate approach to magnetic susceptibility mapping.
  • The proposed methods effectively reduce artifacts and enhance image quality.
  • Demonstrated the potential of Wave-CAIPI for efficient whole-brain imaging and introduced automated coil sensitivity estimation.