Mean square optimal NUFFT approximation for efficient non-Cartesian MRI reconstruction.
Mean square optimal NUFFT approximation for efficient non-Cartesian MRI reconstruction.
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DOI：
10.1016/j.jmr.2014.01.016
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发表时间：
2014-05
影响因子：
2.2
通讯作者：
Jacob, Mathews
中科院分区：
文献类型：
--
作者：
Yang, Zhili;Jacob, Mathews
The fast evaluation of the discrete Fourier transform of an image at non-uniform sampling locations is key to efficient iterative non-Cartesian MRI reconstruction algorithms. Current non-uniform fast Fourier transform (NUFFT) approximations rely on the interpolation of oversampled uniform Fourier samples. The main challenge is high memory demand due to oversampling, especially when multi-dimensional datasets are involved. The main focus of this work is to design an NUFFT algorithm with minimal memory demands. Specifically, we introduce an analytical expression for the expected mean square error in the NUFFT approximation based on our earlier work. We then introduce an iterative algorithm to design the interpolator and scale factors.Experimental comparisons show that the proposed optimized NUFFT scheme provides considerably lower approximation errors than our previous scheme that rely on worst case error metrics. The improved approximations are also seen to considerably reduce the errors and artifacts in non-Cartesian MRI reconstruction.
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影响因子：
2.2
作者：
Sha, LW;Guo, H;Song, AW
通讯作者：
Song, AW
影响因子：
3.3
作者：
Sarty, GE;Bennett, R;Cox, RW
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Cox, RW
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Steidl, G
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MACOVSKI, A
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