Fusion of overlapping patches in X-Space MPI

Abstract

In x-space reconstruction of magnetic particle imaging (MPI), the information lost due to filtering for trajectories with 1D drive fields (DF) was shown to be a DC term, which can be recovered by enforcing image non-negativity and smoothness. However, for trajectories with multi-dimensional DFs, such as the Lissajous trajectory, the loss is no longer constant throughout a patch. In this work, we present a fusion method for overlapping patches in x-space reconstruction. This method first compensates for image loss due to filtering, followed by a fusion that places a higher emphasis on the patch where the Lissajous trajectory had a closer-to-orthogonal intersection, ensuring near-isotropic effective point spread function (PSF) throughout the fused image.