Accelerating dynamic spiral MRI by algebraic reconstruction from undersampled k-t space

Taehoon Shin; Jon Fredrik Nielsen; Krishna S. Nayak

doi:10.1109/TMI.2007.895450

Accelerating dynamic spiral MRI by algebraic reconstruction from undersampled k-t space

Taehoon Shin, Jon Fredrik Nielsen, Krishna S. Nayak

Department of Mechanical & Biomedical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The temporal resolution of dynamic magnetic resonance imaging (MRI) can be increased by sampling a fraction of k-space in an interleaved fashion, which introduces spatial and temporal aliasing. We describe algebraically and graphically the aliasing process caused by dynamic undersampled spiral imaging within 3-D xy f space (the Fourier transform of k _xk _yt space) and formulate the unaliasing problem as a set of independent linear inversions. Since each linear system is numerically underdetermined, the use of prior knowledge in the form of bounded support regions is proposed. To overcome the excessive memory requirements for handling large matrices, a fast implementation of the conjugate gradient (CG) method is used. Numerical simulation and in vivo experiments using spiral twofold undersampling demonstrate reduced motion artifacts and the improved depiction of fine cardiac structures. The achieved reduction of motion artifacts and motion blur is comparable to simple filtering, which is computationally more efficient, while the proposed algebraic framework offers greater flexibility to incorporate additional algebraic acceleration techniques and to handle arbitrary sampling schemes.

Original language	English
Pages (from-to)	917-924
Number of pages	8
Journal	IEEE Transactions on Medical Imaging
Volume	26
Issue number	7
DOIs	https://doi.org/10.1109/TMI.2007.895450
State	Published - Jul 2007

Bibliographical note

Funding Information:
Manuscript received January 14, 2007; revised February 15, 2007. This work was supported in part by American Heart Association under Grant 0435249N, in part by the National Institutes of Health under Grant R01-HL074332, in part by the James Zumberge Foundation, and in part by GE Healthcare. Asterisk indicates corresponding author. *T. Shin is with the University of Southern California, Los Angeles, CA 90089 USA (e-mail: [email protected]) J.-F. Nielsen and K. S. Nayak are with the University of Southern California, Los Angeles, CA 90089 USA. Digital Object Identifier 10.1109/TMI.2007.895450

Keywords

Algebraic reconstruction
Dynamic imaging
Fast imaging
Spiral cardiac magnetic resonance imaging (MRI)
Temporal acceleration

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title = "Accelerating dynamic spiral MRI by algebraic reconstruction from undersampled k-t space",

abstract = "The temporal resolution of dynamic magnetic resonance imaging (MRI) can be increased by sampling a fraction of k-space in an interleaved fashion, which introduces spatial and temporal aliasing. We describe algebraically and graphically the aliasing process caused by dynamic undersampled spiral imaging within 3-D xy f space (the Fourier transform of k xk yt space) and formulate the unaliasing problem as a set of independent linear inversions. Since each linear system is numerically underdetermined, the use of prior knowledge in the form of bounded support regions is proposed. To overcome the excessive memory requirements for handling large matrices, a fast implementation of the conjugate gradient (CG) method is used. Numerical simulation and in vivo experiments using spiral twofold undersampling demonstrate reduced motion artifacts and the improved depiction of fine cardiac structures. The achieved reduction of motion artifacts and motion blur is comparable to simple filtering, which is computationally more efficient, while the proposed algebraic framework offers greater flexibility to incorporate additional algebraic acceleration techniques and to handle arbitrary sampling schemes.",

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note = "Funding Information: Manuscript received January 14, 2007; revised February 15, 2007. This work was supported in part by American Heart Association under Grant 0435249N, in part by the National Institutes of Health under Grant R01-HL074332, in part by the James Zumberge Foundation, and in part by GE Healthcare. Asterisk indicates corresponding author. *T. Shin is with the University of Southern California, Los Angeles, CA 90089 USA (e-mail: [email protected]) J.-F. Nielsen and K. S. Nayak are with the University of Southern California, Los Angeles, CA 90089 USA. Digital Object Identifier 10.1109/TMI.2007.895450",

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Accelerating dynamic spiral MRI by algebraic reconstruction from undersampled k-t space

Abstract

Bibliographical note

Keywords

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