论文标题
同时对MPI中粒子浓度差异的同时成像:问题陈述和改进算法建议
Simultaneous Imaging of Widely Differing Particle Concentrations in MPI: Problem Statement and Algorithmic Proposal for Improvement
论文作者
论文摘要
磁性颗粒成像(MPI)是一种层析成像技术,用于确定超顺磁性纳米颗粒的空间分布。当前的MPI系统能够在超过四个数量级的广泛动态范围内成像铁质量。从理论上讲,使用自适应放大器可以进一步增加该范围,从而防止信号剪辑。尽管这适用于单个样品,但如果考虑了不同浓度不同或考虑强烈不均匀的粒子分布的样品,则动态范围受到严重限制。在临床前应用中经常发生的一种情况是,附近有效示踪剂浓度的器官的血管系统“阴影”中高度浓缩的示踪剂。问题的根本原因是MPI成像算子的不良性,这需要稳定重建的正则化。在这项工作中,我们引入了一种简单的两步算法,该算法将动态范围增加了四倍。此外,该算法可以通过空间自适应正规化,即可以通过最大的空间分辨率重建高度浓缩的信号,而低浓度信号则强烈正规化以防止噪声扩增。
Magnetic Particle Imaging (MPI) is a tomographic imaging technique for determining the spatial distribution of superparamagnetic nanoparticles. Current MPI systems are capable of imaging iron masses over a wide dynamic range of more than four orders of magnitude. In theory, this range could be further increased using adaptive amplifiers, which prevent signal clipping. While this applies to a single sample, the dynamic range is severely limited if several samples with different concentrations or strongly inhomogeneous particle distributions are considered. One scenario that occurs quite frequently in pre-clinical applications is that a highly concentrated tracer bolus in the vascular system "shadows" nearby organs with lower effective tracer concentrations. The root cause of the problem is the ill-posedness of the MPI imaging operator, which requires regularization for stable reconstruction. In this work, we introduce a simple two-step algorithm that increases the dynamic range by a factor of four. Furthermore, the algorithm enables spatially adaptive regularization, i.e. highly concentrated signals can be reconstructed with maximum spatial resolution, while low concentrated signals are strongly regularized to prevent noise amplification.