ArticleIEEE transactions on medical imaging2014
Augmented Lagrangian with variable splitting for faster non-Cartesian L1-SPIRiT MR image reconstruction.
Article in IEEE transactions on medical imaging, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- A New k-Space Model for Non-Cartesian Fourier Imaging.IEEE transactions on computational imaging · 2026Article
- A Complex Quasi-Newton Proximal Method for Image Reconstruction in Compressed Sensing MRI.IEEE transactions on computational imaging · 2024Article
- Accelerated radial echo-planar spectroscopic imaging using golden angle view-ordering and compressed-sensing reconstruction with total variation regularization.Magnetic resonance in medicine · 2021Article
- Accelerating Non-Cartesian MRI Reconstruction Convergence Using k-Space Preconditioning.IEEE transactions on medical imaging · 2020Article
- Minimal Linear Networks for Magnetic Resonance Image Reconstruction.Scientific reports · 2019Article
- Real-Time Filtering with Sparse Variations for Head Motion in Magnetic Resonance Imaging.Signal processing · 2019Article
- Accelerating compressed sensing in parallel imaging reconstructions using an efficient circulant preconditioner for cartesian trajectories.Magnetic resonance in medicine · 2019Article
- Content-aware compressive magnetic resonance image reconstruction.Magnetic resonance imaging · 2018Article
- Rapid compressed sensing reconstruction of 3D non-Cartesian MRI.Magnetic resonance in medicine · 2018Article
- Article
- Sparse Reconstruction of Fluorescence Molecular Tomography Using Variable Splitting and Alternating Direction Scheme.Molecular imaging and biology · 2018Article
- Single-step quantitative susceptibility mapping with variational penalties.NMR in biomedicine · 2017Article
- High-resolution intracranial vessel wall imaging: imaging beyond the lumen.Journal of neurology, neurosurgery, and psychiatry · 2016Review
- Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes.Computational and mathematical methods in medicine · 2016Article
- Forward Looking Radar Imaging by Truncated Singular Value Decomposition and Its Application for Adverse Weather Aircraft Landing.Sensors (Basel, Switzerland) · 2015Article
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Authors and funding
3 authors.
Funding
Abstract
SPIRiT (iterative self-consistent parallel imaging reconstruction), and its sparsity-regularized variant L1-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 L1-SPIRiT reconstructions.
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