论文标题
使用词典方法对磁性粒子成像中示踪剂分布和背景信号的有效关节估计
Efficient Joint Estimation of Tracer Distribution and Background Signals in Magnetic Particle Imaging using a Dictionary Approach
论文作者
论文摘要
背景信号是磁性粒子成像中伪影的主要来源,并且限制了该方法的灵敏度,因为背景信号通常不确定并且会随着时间而变化。处理背景信号的最先进的方法使用一个或几个背景校准测量值,用空扫描仪孔进行了一个或几个背景校准测量,并从实际粒子测量中减去这些背景测量的线性组合。如果将背景测量与粒子测量和背景信号线性呈线性漂移时,则该方法可产生令人满意的结果。在这项工作中,我们提出了基于词典的粒子分布和背景信号的联合估计,该字典能够代表典型的背景信号,即使后者随着时间的推移非线性的非线性流失,也可以精确估计背景。使用奇异值分解,字典是从大量背景校准扫描中得出的,这些扫描无需与粒子测量的近距离记录。该词典表现得足够表达,并由其原理组成部分表示。拟议的颗粒分布和背景信号的关节估计表示为线性Tikhonov调控最小二乘问题,可以有效地解决。在幻影实验中,该方法表明该方法强烈抑制背景伪像,甚至可以估算和去除激发场的直接进料。
Background signals are a primary source of artifacts in magnetic particle imaging and limit the sensitivity of the method since background signals are often not precisely known and vary over time. The state-of-the art method for handling background signals uses one or several background calibration measurements with an empty scanner bore and subtracts a linear combination of these background measurements from the actual particle measurement. This approach yields satisfying results in case that the background measurements are taken in close proximity to the particle measurement and when the background signal drifts linearly. In this work, we propose a joint estimation of particle distribution and background signal based on a dictionary that is capable of representing typical background signals and allows for precise estimation of the background even when the latter is drifting non-linearly over time. Using a singular-value decomposition, the dictionary is derived from a large number of background calibration scans that do not need to be recorded in close proximity to the particle measurement. The dictionary is sufficiently expressive and represented by its principle components. The proposed joint estimation of particle distribution and background signal is expressed as a linear Tikhonov-regularized least squares problem, which can be efficiently solved. In phantom experiments it is shown that the method strongly suppresses background artifacts and even allows to estimate and remove the direct feed-through of the excitation field.