An improved gridding method for spiral MRI using nonuniform fast Fourier transform
An improved gridding method for spiral MRI using nonuniform fast Fourier transform
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DOI：
10.1016/s1090-7807(03)00107-1
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发表时间：
2003-06-01
影响因子：
2.2
通讯作者：
Song, AW
中科院分区：
文献类型：
--
作者：
Sha, LW;Guo, H;Song, AW
Liu和Nguyen [IEEE Microw.导波通信8（1）（1998）18; SIAM J. Sci. Comput. 21（1）（1999）283]的非均匀快速傅立叶变换（NUFFT）的方法已经扩展到二维，以使用螺旋MRI重建图像。新的网格化方法，称为LS_NUFFT，通过生成适合螺旋k空间轨迹的卷积核来最小化最小二乘意义上的重建近似误差。为了进行分析比较，LS_NUFFT已被安装到一个一致的框架与传统的网格方法，使用Kaiser-Bessel网格和最近提出的广义FFT（GFFT）方法。通过使用数字体模数据和体内实验数据评估LS_NUFFT与标准直接求和法和Kaiser-Bessel网格法的性能进行实验比较。重建结果表明，由于LS_NUFFT的卷积核是显式优化的，所以在计算复杂度相同的情况下，LS_NUFFT的重建逼近误差小于Kaiser Bessel网格法。(C)2003 Elsevier Science（美国）。All rights reserved.
The algorithm of Liu and Nguyen [IEEE Microw. Guided Wave Lett. 8 (1) (1998) 18; SIAM J. Sci. Comput. 21 (1) (1999) 283] for nonuniform fast Fourier transform (NUFFT) has been extended to two dimensions to reconstruct images using spiral MRI. The new gridding method, called LS_NUFFT, minimizes the reconstruction approximation error in the Least Square sense by generated convolution kernels that fit for the spiral k-space trajectories. For analytical comparison, the LS_NUFFT has been fitted into a consistent framework with the conventional gridding methods using Kaiser-Bessel gridding and a recently proposed generalized FFT (GFFT) approach. Experimental comparison was made by assessing the performance of the LS_NUFFT with that of the standard direct summation method and the Kaiser-Bessel gridding method, using both digital phantom data and in vivo experimental data. Because of the explicitly optimized convolution kernel in LS_NUFFT, reconstruction results showed that the LS_NUFFT yields smaller reconstruction approximation error than the Kaiser Bessel gridding method, but with the same computation complexity. (C) 2003 Elsevier Science (USA). All rights reserved.