Title
Projection onto Epigraph Sets for Rapid Self-Tuning Compressed Sensing MRI.
Abstract
The compressed sensing (CS) framework leverages the sparsity of MR images to reconstruct from undersampled acquisitions. CS reconstructions involve one or more regularization parameters that weigh sparsity in transform domains against fidelity to acquired data. While parameter selection is critical for reconstruction quality, the optimal parameters are subject and dataset specific. Thus, commonly practiced heuristic parameter selection generalizes poorly to independent datasets. Recent studies have proposed to tune parameters by estimating the risk of removing significant image coefficients. Line searches are performed across the parameter space to identify the parameter value that minimizes this risk. Although effective, these line searches yield prolonged reconstruction times. Here, we propose a new self-tuning CS method that uses computationally efficient projections onto epigraph sets of the ℓ1 and total-variation norms to simultaneously achieve parameter selection and regularization. In vivo demonstrations are provided for balanced steady-state free precession, time-of-flight, and T1-weighted imaging. The proposed method achieves an order of magnitude improvement in computational efficiency over line-search methods while maintaining near-optimal parameter selection.
Year
DOI
Venue
2019
10.1109/TMI.2018.2885599
IEEE transactions on medical imaging
Keywords
Field
DocType
Image reconstruction,Coils,TV,Calibration,Magnetic resonance imaging
Iterative reconstruction,Computer vision,Heuristic,Algorithm,Regularization (mathematics),Self-tuning,Artificial intelligence,Parameter space,Epigraph,Mathematics,Compressed sensing,Calibration
Journal
Volume
Issue
ISSN
38
7
1558-254X
Citations 
PageRank 
References 
2
0.37
14
Authors
6
Name
Order
Citations
PageRank
Mohammad Shahdloo120.37
Efe Ilicak270.79
Mohammad Tofighi3658.74
Emine U Saritas420.71
A. Enis Çetin5871118.56
Tolga Çukur6368.84