University Medical Center Freiburg, Freiburg, Germany.
MAGMA. 2012 Dec;25(6):419-31. doi: 10.1007/s10334-012-0314-y. Epub 2012 Apr 7.
This work seeks to examine practical aspects of in vivo imaging when spatial encoding is performed with three or more encoding channels for a 2D image.
The recently developed 4-Dimensional Radial In/Out (4D-RIO) trajectory is compared in simulations to an alternative higher-order encoding scheme referred to as O-space imaging. Direct comparison of local k-space representations leads to the proposal of a modification to the O-space imaging trajectory based on a scheme of prephasing to improve the reconstructed image quality. Data were collected using a 4D-RIO acquisition in vivo in the human brain and several image reconstructions were compared, exploiting the property that the dense encoding matrix, after a 1D or 2D Fourier transform, can be approximated by a sparse matrix by discarding entries below a chosen magnitude.
The proposed prephasing scheme for the O-space trajectory shows a marked improvement in quality in the simulated image reconstruction. In experiments, 4D-RIO data acquired in vivo in the human brain can be reconstructed to a reasonable quality using only 5 % of the encoding matrix--massively reducing computer memory requirements for a practical reconstruction.
Trajectory design and reconstruction techniques such as these may prove especially useful when extending generalized higher-order encoding methods to 3D images.
本研究旨在探讨在进行二维图像空间编码时使用三个或更多编码通道的体内成像的实际问题。
在模拟中,将最近开发的 4 维径向内/外(4D-RIO)轨迹与另一种称为 O 空间成像的高阶编码方案进行比较。直接比较局部 k 空间表示导致提出了一种基于预相位的 O 空间成像轨迹的修改,以提高重建图像质量。在人体大脑中使用 4D-RIO 采集进行体内数据采集,并比较了几种图像重建,利用在进行一维或二维傅里叶变换后,密集编码矩阵可以通过丢弃选择大小以下的条目来近似稀疏矩阵的性质。
所提出的 O 空间轨迹的预相位方案在模拟图像重建中显示出显著的质量改善。在实验中,使用仅 5%的编码矩阵即可对人体大脑中的 4D-RIO 数据进行合理质量的重建,这极大地降低了实际重建的计算机内存需求。
当将广义高阶编码方法扩展到 3D 图像时,这种轨迹设计和重建技术可能特别有用。