Radon-based Image Reconstruction for MPI using a continuously rotating FFL

TL;DR

This paper extends the Radon-based image reconstruction method in magnetic particle imaging (MPI) to a continuously rotating field-free line, enabling joint reconstruction of particle concentration and Radon data with promising synthetic results.

Contribution

It introduces a new forward model for continuously rotating FFL in MPI and demonstrates joint reconstruction using total variation regularization.

Findings

Successful synthetic data reconstruction

Extension of Radon-based model to rotating FFL

Potential for improved MPI imaging techniques

Abstract

Magnetic particle imaging is a relatively new tracer-based medical imaging technique exploiting the non-linear magnetization response of magnetic nanoparticles to changing magnetic fields. If the data are generated by using a field-free line, the sampling geometry resembles the one in computerized tomography. Indeed, for an ideal field-free line rotating only in between measurements it was shown that the signal equation can be written as a convolution with the Radon transform of the particle concentration. In this work, we regard a continuously rotating field-free line and extend the forward operator accordingly. We obtain a similar result for the relation to the Radon data but with two additive terms resulting from the additional time-dependencies in the forward model. We jointly reconstruct particle concentration and corresponding Radon data by means of total variation regularization yielding promising results for synthetic data.