Uncertainty estimation for 2D magnetic particle imaging

Magnetic Particle Imaging (MPI) has in recent years been established as a powerful imaging tool that measures the non-linear magnetic response of magnetic particles to an applied field. Obtaining quantitative information from these images in the form of a discretized version of the particle distribution in space requires the solution of an inverse problem that can be addressed by linear regression. We demonstrate how the linear regression can be used to also estimate the uncertainty of the reconstructed particle distribution