Schlumberger-Doll Research, One Hampshire St., Cambridge, MA, United States.
J Magn Reson. 2011 Dec;213(1):166-70. doi: 10.1016/j.jmr.2011.08.025. Epub 2011 Aug 23.
NMR can probe the microstructures of anisotropic materials such as liquid crystals, stretched polymers and biological tissues through measurement of the diffusion propagator, where internal structures are indicated by restricted diffusion. Multi-dimensional measurements can probe the microscopic anisotropy, but full sampling can then quickly become prohibitively time consuming. However, for incompletely sampled data, compressed sensing is an effective reconstruction technique to enable accelerated acquisition. We demonstrate that with a compressed sensing scheme, one can greatly reduce the sampling and the experimental time with minimal effect on the reconstruction of the diffusion propagator with an example of anisotropic diffusion. We compare full sampling down to 64× sub-sampling for the 2D propagator measurement and reduce the acquisition time for the 3D experiment by a factor of 32 from ∼80 days to ∼2.5 days.
NMR 可以通过测量扩散传播子来探测各向异性材料（如液晶、拉伸聚合物和生物组织）的微观结构，其中受限扩散可以指示内部结构。多维测量可以探测微观各向异性，但完全采样可能会很快变得过于耗时。然而，对于不完全采样的数据，压缩感知是一种有效的重建技术，可以实现加速采集。我们证明，通过压缩感知方案，可以在对扩散传播子重建的影响最小的情况下，大大减少采样和实验时间，以各向异性扩散为例。我们将二维传播子测量的全采样降至 64×子采样，并将三维实验的采集时间减少了 32 倍，从约 80 天减少到约 2.5 天。
