论文标题
基于小波的稀疏行动方法，用于磁性粒子成像中的图像重建方法
A Wavelet Based Sparse Row-Action Method for Image Reconstruction in Magnetic Particle Imaging
论文作者
论文摘要
磁性颗粒成像（MPI）是一种临床前成像技术，能够可视化磁性纳米颗粒的时空分布。这种快速和动态过程的图像重建依赖于有效解决逆问题。当前从其测量值重建示踪剂浓度的方法要么适应MPI的图像特征，但具有较高的计算复杂性和较慢的收敛性或快速的收敛性，但缺乏重建图像的图像质量。在这项工作中，我们提出了一种新型的MPI重建方法，将两种方法的优势结合在一起。基本的稀疏性先验是基于不可记录的小波变换，并集成到快速行动框架中以解决相应的MPI最小化问题。它的性能是根据模拟和实际MPI数据的经典Fista方法进行数值评估的。我们还将结果与最先进的MPI重建方法进行了比较。在所有情况下，我们的方法都显示出更好的重建结果，同时均加速了基础行动算法的收敛速率。
Magnetic Particle Imaging (MPI) is a preclinical imaging technique capable of visualizing the spatio-temporal distribution of magnetic nanoparticles. The image reconstruction of this fast and dynamic process relies on efficiently solving an ill-posed inverse problem. Current approaches to reconstruct the tracer concentration from its measurements are either adapted to image characteristics of MPI but suffer from higher computational complexity and slower convergence or are fast but lack in the image quality of the reconstructed images. In this work we propose a novel MPI reconstruction method to combine the advantages of both approaches into a single algorithm. The underlying sparsity prior is based on an undecimated wavelet transform and is integrated into a fast row-action framework to solve the corresponding MPI minimization problem. Its performance is numerically evaluated against a classical FISTA approach on simulated and real MPI data. We also compare the results to the state-of-the-art MPI reconstruction methods. In all cases, our approach shows better reconstruction results and at the same time accelerates the convergence rate of the underlying row-action algorithm.
