Fast calibration with compressed sensing using alternating direction method of multipliers in magnetic particle imaging

Magnetic Particle Imaging (MPI) is a new imaging modality that is used for imaging the spatial distribution of superparamagnetic iron oxide nanoparticles injected as tracers. Image reconstruction in MPI can be realized directly in X-space or with a system calibration matrix. It is envisaged that obtaining a system calibration matrix would take days for a field of view of clinical purposes. On the other hand, the need for real-time imaging for applications such as interventional angiography implies that faster and more efficient reconstruction algorithms are needed than the ones at present. In this work, we present rapid system calibration with compressive sensing, and reconstruction results that have higher resolution and contrast with respect to the most common technique, Kaczmarz, using Alternating Direction Method of Multipliers (ADMM).