MRI scan time reduction through non-uniform sampling and SVD-based estimation

Dologlou, Ioannis; Ormondt, D. van; Carayannis, G.

doi:10.1016/s0165-1684(96)00131-4

Cited by 15 publications

(12 citation statements)

References 12 publications

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“…First partial acquisition (1, 5, 9), second partial acquisition (2, 6, 10), third partial acquisition (3, 7, 11), and compound volume (4, 8, 12). The bottom row (13–16) shows the geometry of the corresponding partial and compound k ‐spaces. The circles help locate the stenosis.…”

Section: Resultsmentioning

confidence: 99%

“…Interleaved spiral acquisitions, which allow a more efficient exploitation of the slew rate of gradient amplifiers, and reduce sensitivity to the magnetic field inhomogeneities, remain the most common choice in cardiac ultrafast imaging. However, these methods call for sophisticated reconstruction techniques, including resampling (5, 11, 12), gridding (13–15), and least‐squares‐based interpolation (16–18). Simultaneous acquisition of spatial harmonics (SMASH) (19, 20) and sensitivity encoding (SENSE) (21, 22) methods have recently been shown to further reduce acquisition time by providing a parallel acquisition of MR data using phased‐array antennas.…”

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confidence: 99%

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Local reconstruction of stenosed sections of artery using multiple MRA acquisitions

Herment

Roullot

Bloch

et al. 2003

Magnetic Resonance in Med

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A method for reconstructing magnetic resonance angiography (MRA) volumes from successive acquisitions is described. The method is based on double oblique acquisitions of highly anisotropic MRA volumes, each of which corresponds to reduced k-space filling. These partial k-spaces are then combined to obtain a 3D k-space adapted to the frequency spread of the angiographic image of the stenosis. The SNR-resolution compromise of MRA is thus improved by focusing the acquisition on the most relevant k-space regions. The reconstruction is performed directly in k-space by averaging the partial k-spaces. The characteristics of MR images are determined by a trade-off between three factors-the voxel size, the acquisition time, and the signal-to-noise ratio (SNR)-regardless of the acquisition sequence used. It is particularly difficult to obtain an optimal compromise between these parameters in 3D magnetic resonance angiography (MRA) because the acquisition time is limited by the recirculation of the contrast bolus and the breath-hold capacity of the patient.The acquisition time required to record a whole k-space has been reduced by the use of intense gradients and fast multi-shot or single-shot spin-echo or gradient-echo acquisition sequences (1). Because they have a shorter sampling time, multishot methods (2,3) are less sensitive to signal variations such as chemical shift dephasing and decreased T 2 or T* 2 , and are thus less prone to image distortions. Non-Cartesian filling of k-space has also been used to shorten acquisition time. Radial (4 -6), circular (7,8), stochastic (9), and rosette (10) k-space trajectories have also been proposed. Interleaved spiral acquisitions, which allow a more efficient exploitation of the slew rate of gradient amplifiers, and reduce sensitivity to the magnetic field inhomogeneities, remain the most common choice in cardiac ultrafast imaging. However, these methods call for sophisticated reconstruction techniques, including resampling (5,11,12), gridding (13-15), and least-squares-based interpolation (16 -18). Simultaneous acquisition of spatial harmonics (SMASH) (19,20) and sensitivity encoding (SENSE) (21,22) methods have recently been shown to further reduce acquisition time by providing a parallel acquisition of MR data using phased-array antennas. When combined with fast acquisition sequences, these methods also allow correction for excessive losses in T 2 and T* 2 .Methods that use segmented updating of k-space can also provide time-resolved imaging by "view sharing" after rapid acquisition of multiple 3D volumes throughout the passage of the contrast agent bolus. The Keyhole technique (23), in which a complete k-space is acquired but only the central region is updated, has been improved to optimize k-space filling as a function of the frequency content of the image (24). The block regional interpolation scheme for k-space (BRISK) method (25,26), which uses the continuous acquisition of selected regions of k-space with a strategy based on cardiac dynamic information, was developed f...

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Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Local reconstruction of stenosed sections of artery using multiple MRA acquisitions

Herment

Roullot

Bloch

et al. 2003

Magnetic Resonance in Med

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show abstract

“…While the optimization problems that result from the use of these functionals are nonconvex and NP-hard to solve in general [22], there exist fast greedy algorithms for addressing problems involving these functionals that perform very well in practice and can easily incorporate additional constraints. Examples include incremented rank PowerFactorization (IRPF) [54] (which can have theoretical performance guarantees [55], and has been previously used in MRI [2], [25], [26], [29], [39]), and variations on the Cadzow algorithm [56] (also previously used in MRI [4], [37], [46], [47]).…”

Section: Problem Formulation and Algorithmmentioning

confidence: 99%

“…We are aware of only two other low-rank image reconstruction methods that have been proposed for calibrationless low-rank reconstruction of individual MRI images [47], [48], and neither of these approaches were designed to impose phase or support constraints. Specifically, [47] is based on generic ARMA modeling assumptions [6]–[9], while [48] is related to feature-recognizing MRI [10], [11], and uses the assumptions of singular value decomposition (SVD) image coding [49].…”

Section: Introductionmentioning

confidence: 99%

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Low-Rank Modeling of Local <formula formulatype="inline"> <tex Notation="TeX">$k$</tex></formula>-Space Neighborhoods (LORAKS) for Constrained MRI

Haldar

2014

IEEE Trans. Med. Imaging

255

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Recent theoretical results on low-rank matrix reconstruction have inspired significant interest in low-rank modeling of MRI images. Existing approaches have focused on higher-dimensional scenarios with data available from multiple channels, timepoints, or image contrasts. The present work demonstrates that single-channel, single-contrast, single-timepoint k-space data can also be mapped to low-rank matrices when the image has limited spatial support or slowly varying phase. Based on this, we develop a novel and flexible framework for constrained image reconstruction that uses low-rank matrix modeling of local k-space neighborhoods (LORAKS). A new regularization penalty and corresponding algorithm for promoting low-rank are also introduced. The potential of LORAKS is demonstrated with simulated and experimental data for a range of denoising and sparse-sampling applications. LORAKS is also compared against state-of-the-art methods like homodyne reconstruction, ℓ1-norm minimization, and total variation minimization, and is demonstrated to have distinct features and advantages. In addition, while calibration-based support and phase constraints are commonly used in existing methods, the LORAKS framework enables calibrationless use of these constraints.

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Reduction of truncation artifacts in rapid 3D articular cartilage imaging

Rakow‐Penner¹,

Gold²,

Daniel³

et al. 2008

Magnetic Resonance Imaging

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Purpose: To reduce Gibbs ringing artifact in three-dimensional (3D) articular knee cartilage imaging with linear prediction (LP). Materials and Methods:A reconstruction method using LP in 3D was applied to truncated data sets of six healthy knees. The technique first linearizes the data before applying the prediction algorithm. Three radiologists blindly reviewed and ranked images of the full, truncated, and predicted data sets. Statistical analysis of the radiologists' reviews was performed for image quality, clinical acceptability of the images, and equivalence with the gold standard.Results: LP applied to 3D knee cartilage imaging allows for 40% decreased scan time while providing image quality with statistical equivalence to a full data set. Conclusion:3D spoiled gradient echo imaging (SPGR) knee cartilage imaging requires significant scan time. This 40% reduction in scan time will allow such scans to be more feasible without sacrificing clinical acceptability.

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MRI scan time reduction through non-uniform sampling and SVD-based estimation

Cited by 15 publications

References 12 publications

Local reconstruction of stenosed sections of artery using multiple MRA acquisitions

Local reconstruction of stenosed sections of artery using multiple MRA acquisitions

Low-Rank Modeling of Local <formula formulatype="inline"> <tex Notation="TeX">$k$</tex></formula>-Space Neighborhoods (LORAKS) for Constrained MRI

Reduction of truncation artifacts in rapid 3D articular cartilage imaging

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