2018
DOI: 10.1007/s12021-017-9354-9
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PRIM: An Efficient Preconditioning Iterative Reweighted Least Squares Method for Parallel Brain MRI Reconstruction

Abstract: The most recent history of parallel Magnetic Resonance Imaging (pMRI) has in large part been devoted to finding ways to reduce acquisition time. While joint total variation (JTV) regularized model has been demonstrated as a powerful tool in increasing sampling speed for pMRI, however, the major bottleneck is the inefficiency of the optimization method. While all present state-of-the-art optimizations for the JTV model could only reach a sublinear convergence rate, in this paper, we squeeze the performance by p… Show more

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Cited by 7 publications
(4 citation statements)
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“…Also, a highly appropriate SIMD algorithm that operates on thousands of threads concurrently is executed by today's GPUs [9]. On the other hand, the most frequently used medical imaging modality for brain imaging is magnetic resonance imaging (MRI), followed by computed tomography (CT), positron emission tomography (PET), and ultrasound [10][11][12][13]. In basic terms, MRI has been widely utilized to analyze the anatomy of the entire brain [14].…”
Section: Introductionmentioning
confidence: 99%
“…Also, a highly appropriate SIMD algorithm that operates on thousands of threads concurrently is executed by today's GPUs [9]. On the other hand, the most frequently used medical imaging modality for brain imaging is magnetic resonance imaging (MRI), followed by computed tomography (CT), positron emission tomography (PET), and ultrasound [10][11][12][13]. In basic terms, MRI has been widely utilized to analyze the anatomy of the entire brain [14].…”
Section: Introductionmentioning
confidence: 99%
“…Examples of such sparsifying transformations are the total variation operator, wavelet transformations or a combination of these 1–5 . Preconditioning has been proposed in the past to accelerate CS reconstructions 6–9 . This technique can reduce the number of iterations that are needed to converge to the optimal solution 10 .…”
Section: Introductionmentioning
confidence: 99%
“… 1 , 2 , 3 , 4 , 5 Preconditioning has been proposed in the past to accelerate CS reconstructions. 6 , 7 , 8 , 9 This technique can reduce the number of iterations that are needed to converge to the optimal solution. 10 Designing an efficient preconditioner, however, is not straightforward.…”
Section: Introductionmentioning
confidence: 99%
“…To extend the TV reconstruction problem, consider the special structure of undersampling matrix A in reconstruction, Chen et al [25] proposed fast iterative reweighted least squares (FIRLS) method, could be easily applied to the TV and JTV sparsity patterns, outperformed in accuracy and computer speed. Xu et al [26] exploit the JTV regularization to increase sampling speed for pMRI, JTV model demonstrate also superior performance in both accuracy and efficiency. Since practical MR data are complex-valued, some of these methods solely work for real-valued images.…”
Section: Introductionmentioning
confidence: 99%