论文标题
使用代数重建的现实磁场拓扑的新的3D模型用于磁性粒子成像
A new 3D model for magnetic particle imaging using realistic magnetic field topologies for algebraic reconstruction
论文作者
论文摘要
我们得出了一种用于磁性粒子成像（MPI）的新3D模型，该模型能够在重建过程中融合现实的磁场。在实际的MPI扫描仪中，产生的磁场具有变形，导致具有椭圆形或香蕉形状的变形磁性低场体积（LFV），而不是理想的无场点（FFP）或线（FFL）。 MPI中的大多数基于模型的重建方案都使用了理想的FFP或FFL拓扑的理想化假设，因此在重建中产生了伪影。我们基于模型的方法能够处理这些扭曲，通常可以应用于与其速度场大致平行的动态磁场。我们展示了如何将这种新的3D模型离散化并倒置为代数以恢复磁性颗粒浓度。为了建模和描述磁场，我们在球形谐波中使用场的分解。我们通过几个模拟和实验补充了新模型的描述。
We derive a new 3D model for magnetic particle imaging (MPI) that is able to incorporate realistic magnetic fields in the reconstruction process. In real MPI scanners, the generated magnetic fields have distortions that lead to deformed magnetic low-field volumes (LFV) with the shapes of ellipsoids or bananas instead of ideal field-free points (FFP) or lines (FFL), respectively. Most of the common model-based reconstruction schemes in MPI use however the idealized assumption of an ideal FFP or FFL topology and, thus, generate artifacts in the reconstruction. Our model-based approach is able to deal with these distortions and can generally be applied to dynamic magnetic fields that are approximately parallel to their velocity field. We show how this new 3D model can be discretized and inverted algebraically in order to recover the magnetic particle concentration. To model and describe the magnetic fields, we use decompositions of the fields in spherical harmonics. We complement the description of the new model with several simulations and experiments.
