Reconstruction of the Magnetic Particle Imaging System Matrix Using Symmetries and Compressed Sensing
Reconstruction of the Magnetic Particle Imaging System Matrix Using Symmetries and Compressed Sensing
复制标题
利用对称性和压缩感知重建磁粒子成像系统矩阵
DOI：
10.1155/2015/460496
复制
发表时间：
2015
影响因子：
1.2
通讯作者：
T. Knopp
中科院分区：
文献类型：
--
作者：
A. Weber;T. Knopp
磁颗粒成像（MPI）是一种层析成像技术，可以确定超顺磁性氧化铁纳米颗粒的三维空间分布。由于这些纳米颗粒复杂的动态特性，在图像重建之前必须进行耗时的校准测量。在校准过程中，在视场中重建颗粒分布的所有位置测量一个充满颗粒悬浮液的小增量样本。最近的研究表明，只在少数随机选择的位置对视场进行采样，并应用压缩感知来重建完整的MPI系统矩阵，可以大大缩短校准过程。这项工作的目的是进一步减少必要的校准扫描次数。为此，我们考虑了MPI系统矩阵的对称性，并将此知识与压缩感知方法相结合。在二维MPI数据上的实验表明，与纯压缩感知方法相比，对称和压缩感知的结合可以将校准扫描次数减少约三倍。
Magnetic particle imaging (MPI) is a tomographic imaging technique that allows the determination of the 3D spatial distribution of superparamagnetic iron oxide nanoparticles. Due to the complex dynamic nature of these nanoparticles, a time-consuming calibration measurement has to be performed prior to image reconstruction. During the calibration a small delta sample filled with the particle suspension is measured at all positions in the field of view where the particle distribution will be reconstructed. Recently, it has been shown that the calibration procedure can be significantly shortened by sampling the field of view only at few randomly chosen positions and applying compressed sensing to reconstruct the full MPI system matrix. The purpose of this work is to reduce the number of necessary calibration scans even further. To this end, we take into account symmetries of the MPI system matrix and combine this knowledge with the compressed sensing method. Experiments on 2D MPI data show that the combination of symmetry and compressed sensing allows reducing the number of calibration scans compared to the pure compressed sensing approach by a factor of about three.