2019
DOI: 10.1002/mrm.27801
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A GRAPPA algorithm for arbitrary 2D/3D non‐Cartesian sampling trajectories with rapid calibration

Abstract: Purpose: GRAPPA is a popular reconstruction method for Cartesian parallel imaging, but is not easily extended to non-Cartesian sampling. We introduce a general and practical GRAPPA algorithm for arbitrary non-Cartesian imaging. Methods: We formulate a general GRAPPA reconstruction by associating a unique kernel with each unsampled k-space location with a distinct constellation, that is, local sampling pattern. We calibrate these generalized kernels using the Fourier transform phase shift property applied to fu… Show more

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Cited by 12 publications
(13 citation statements)
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References 28 publications
(43 reference statements)
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“…We used Total Generalized Variation regularization in our reconstruction to primarily to improve image quality, whereas for Cartesian sequences such methods are generally used with parallel imaging to speed up acquisitions 18 , 38 , 44 . Although non-cartesian parallel imaging methods exist 59 , to our knowledge none has been specifically tailored to 3D radial acquisitions. Despite this limitation, we acquired 1.5 mm isotropic maps in 6 minutes, which is competitive with a recent cartesian ihMT acquisition with an MP-RAGE type readout which acquired 2.4 mm isotropic maps in the same time 18 .…”
Section: Discussionmentioning
confidence: 99%
“…We used Total Generalized Variation regularization in our reconstruction to primarily to improve image quality, whereas for Cartesian sequences such methods are generally used with parallel imaging to speed up acquisitions 18 , 38 , 44 . Although non-cartesian parallel imaging methods exist 59 , to our knowledge none has been specifically tailored to 3D radial acquisitions. Despite this limitation, we acquired 1.5 mm isotropic maps in 6 minutes, which is competitive with a recent cartesian ihMT acquisition with an MP-RAGE type readout which acquired 2.4 mm isotropic maps in the same time 18 .…”
Section: Discussionmentioning
confidence: 99%
“…In addition, this undersampling is not quantized into integer factors as it is for standard rectilinear techniques, but (as with 3D Cones) can be varied incrementally, allowing precise undersampling selection. Future work will consider non-Cartesian reconstruction strategies [39][40][41] for creating images from undersampled Yarnball k-space data for even further image-acquisition acceleration.…”
Section: Discussionmentioning
confidence: 99%
“…Recently, other modified coil estimation methods [28,36] have been proposed. GRAPPA type non-Cartesian k-space has also been proposed [56].…”
Section: Institutional Review Board Statementmentioning
confidence: 99%