Recovery of the magnetic particle imaging system matrix using compressed sensing reconstruction

Abstract

In magnetic particle imaging the system matrix is commonly obtained by performing a tedious calibration scan, which requires measuring the system response at various positions in the field-of-view. In this work, a method for significantly reducing the number of required calibration scans is proposed. It exploits the fact that the MPI system matrix can be sparsified using certain basis transformations such as the discrete Fourier transformation and applies compressed sensing reconstruction techniques. Experiments show that the calibration scan can be accelerated by a factor of ten with only marginal loss of image quality.