Reconstruction Formulae for 3D Field-Free Line Magnetic Particle Imaging

TL;DR

This paper develops and validates new mathematical reconstruction formulae and algorithms for 3D Field-Free Line Magnetic Particle Imaging, enhancing 3D imaging capabilities without lengthy calibration.

Contribution

It introduces novel 3D FFL reconstruction formulae and algorithms, extending previous 2D model-based methods to 3D MPI.

Findings

Validated the 3D reconstruction algorithm with numerical experiments.

Demonstrated improved 3D imaging reconstruction accuracy.

Provided a framework for model-based 3D MPI reconstruction.

Abstract

Magnetic Particle Imaging (MPI) is a promising noninvasive in vivo imaging modality that makes it possible to map the spatial distribution of superparamagnetic nanoparticles by exposing them to dynamic magnetic fields. In the Field-Free Line (FFL) scanner topology, the spatial encoding of the particle distribution is performed by applying magnetic fields vanishing on straight lines. The voltage induced in the receiving coils by the particles when exposed to the magnetic fields constitute the signal from which the particle distribution is to be reconstructed. To avoid lengthy calibration, model-based reconstruction formulae have been developed for the 2D FFL scanning topology. In this work we develop reconstruction formulae for 3D FFL. Moreover, we provide a model-based reconstruction algorithm for 3D FFL and we validate it with a numerical experiment.