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Efficient Iterative Reconstruction for an MPI Equilibrium Model with Anisotropy

2025/03/14 by Hernández Durán, Daniel, Scheffler, Konrad, Möddel, Martin +1
#Anisotropy #Image Reconstruction #Iterative Reconstruction #Iterative Solvers #Karhunen-Loève Approximation #Lissajous-type magnetic particle imaging #Richardson-Lucy #model-based reconstruction

paper · doi:10.18416/ijmpi.2025.2503015

Abstract

Image reconstruction in Magnetic Particle Imaging (MPI) typically requires a system matrix, obtained through a time-consuming calibration process. To bypass this, various model-based approaches have been explored. Recent work demonstrated successful reconstruction by adapting a Chebyshev approach with Tikhonov-regularized least squares (LS) under an equilibrium model with anisotropy. In this study, we introduce an efficient evaluation of the forward and adjoint operators for the anisotropy model, enabling the use of iterative solvers and alternative regularization methods for image reconstruction.

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