Real-time three-dimensional image reconstruction using alternating direction method of multipliers for magnetic particle imaging

Magnetic Particle Imaging (MPI) is a relatively new medical imaging modality, which is used for measuring the spatial distribution of superparamagnetic iron oxide nanoparticles. One of the image reconstruction methods in MPI is the system matrix approach. In this method, first, a system matrix is obtained by taking system calibration measurements. Then, a linear system of equations is constructed with the system matrix and data received from the imaging object, and the distribution of the magnetic particles within the field of view (FOV) is resolved by iterative regularization or optimization algorithms. In this study, real-time image reconstruction for a relatively large FOV and three-dimensional high-resolution system is achieved using graphical processing units with alternating direction method of multipliers.