期刊
IEEE TRANSACTIONS ON MEDICAL IMAGING
卷 33, 期 2, 页码 351-361出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMI.2013.2285046
关键词
Augmented Lagrangian; compressed sensing; magnetic resonance imaging (MRI); non-Cartesian reconstruction; parallel imaging reconstruction; preconditioning
类别
资金
- National Institutes of Health [F32 EB015914, P01 CA87634]
SPIRiT (iterative self-consistent parallel imaging reconstruction), and its sparsity-regularized variant L-1-SPIRiT, are compatible with both Cartesian and non-Cartesian magnetic resonance imaging sampling trajectories. However, the non-Cartesian framework is more expensive computationally, involving a nonuniform Fourier transform with a nontrivial Gram matrix. We propose a novel implementation of the regularized reconstruction problem using variable splitting, alternating minimization of the augmented Lagrangian, and careful preconditioning. Our new method based on the alternating direction method of multipliers converges much faster than existing methods because of the preconditioners' heightened effectiveness. We demonstrate such rapid convergence substantially improves image quality for a fixed computation time. Our framework is a step forward towards rapid non-Cartesian L-1-SPIRiT reconstructions.
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