Corrections for nonuniform sampling distortions in magnetic resonance imagery

Trussell, H.J.; Arnder, L.L.; Moran, P. R.; Williams, R.

doi:10.1109/42.3927

Cited by 4 publications

(1 citation statement)

References 5 publications

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“…In 1956, Yen [26] proved that the reconstruction of a band-limited signal from nonuniform samples is possible if there is a sufficient number of data. Trussell et al [27] proposed a mathematical method to reconstruct the image from nonuniform sampled data by sinc interpolation. However, their method is impractical for 2-D reconstruction; as an example, for a (512 x 512) image, the dimension of the sinc function interpolation matrix is (262144 x 262144).…”

Section: Model Of the Problemmentioning

confidence: 99%

MRI artifact cancellation due to rigid motion in the imaging plane

Zoroofi

Sato

Tamura

et al. 1996

IEEE Trans. Med. Imaging

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A post-processing technique has been developed to suppress the magnetic resonance imaging (MRI) artifact arising from object planar rigid motion. In two-dimensional Fourier transform (2-DFT) MRI, rotational and translational motions of the target during magnetic resonance magnetic resonance (MR) scan respectively impose nonuniform sampling and a phase error an the collected MRI signal. The artifact correction method introduced considers the following three conditions: (1) for planar rigid motion with known parameters, a reconstruction algorithm based on bilinear interpolation and the super-position method is employed to remove the MRI artifact, (2) for planar rigid motion with known rotation angle and unknown translational motion (including an unknown rotation center), first, a super-position bilinear interpolation algorithm is used to eliminate artifact due to rotation about the center of the imaging plane, following which a phase correction algorithm is applied to reduce the remaining phase error of the MRI signal, and (3) to estimate unknown parameters of a rigid motion, a minimum energy method is proposed which utilizes the fact that planar rigid motion increases the measured energy of an ideal MR image outside the boundary of the imaging object; by using this property all unknown parameters of a typical rigid motion are accurately estimated in the presence of noise. To confirm the feasibility of employing the proposed method in a clinical setting, the technique was used to reduce unknown rigid motion artifact arising from the head movements of two volunteers.

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Section: Model Of the Problemmentioning

confidence: 99%

MRI artifact cancellation due to rigid motion in the imaging plane

Zoroofi

Sato

Tamura

et al. 1996

IEEE Trans. Med. Imaging

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Interpolation and the discrete Papoulis-Gerchberg algorithm

Ferreira

1994

IEEE Trans. Signal Process.

102

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Reconstruction of Irregularly-Sampled Volumetric Data in Efficient Box Spline Spaces

Alvarado

Entezari

2012

IEEE Trans. Med. Imaging

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We present a variational framework for the reconstruction of irregularly-sampled volumetric data in, nontensor-product, spline spaces. Motivated by the sampling-theoretic advantages of body centered cubic (BCC) lattice, this paper examines the BCC lattice and its associated box spline spaces in a variational setting. We introduce a regularization scheme for box splines that allows us to utilize the BCC lattice in a variational reconstruction framework. We demonstrate that by choosing the BCC lattice over the commonly-used Cartesian lattice, as the shift-invariant representation, one can increase the quality of signal reconstruction. Moreover, the computational cost of the reconstruction process is reduced in the BCC framework due to the smaller bandwidth of the system matrix in the box spline space compared to the corresponding tensor-product B-spline space. The improvements in accuracy are quantified numerically and visualized in our experiments with synthetic as well as real biomedical datasets.

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Corrections for nonuniform sampling distortions in magnetic resonance imagery

Cited by 4 publications

References 5 publications

MRI artifact cancellation due to rigid motion in the imaging plane

MRI artifact cancellation due to rigid motion in the imaging plane

Interpolation and the discrete Papoulis-Gerchberg algorithm

Reconstruction of Irregularly-Sampled Volumetric Data in Efficient Box Spline Spaces

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