English

Dynamic image reconstruction with motion priors in application to 3D magnetic particle imaging

Numerical Analysis 2023-06-21 v1 Numerical Analysis

Abstract

Various imaging modalities allow for time-dependent image reconstructions from measurements where its acquisition also has a time-dependent nature. Magnetic particle imaging (MPI) falls into this class of imaging modalities and it thus also provides a dynamic inverse problem. Without proper consideration of the dynamic behavior, motion artifacts in the reconstruction become an issue. More sophisticated methods need to be developed and applied to the reconstruction of the time-dependent sequences of images. In this context, we investigate the incorporation of motion priors in terms of certain flow-parameter-dependent PDEs in the reconstruction process of time-dependent 3D images in magnetic particle imaging. The present work comprises the method development for a general 3D+time setting for time-dependent linear forward operators, analytical investigation of necessary properties in the MPI forward operator, modeling aspects in dynamic MPI, and extensive numerical experiments on 3D+time imaging including simulated data as well as measurements from a rotation phantom and in-vivo data from a mouse.

Keywords

Cite

@article{arxiv.2306.11625,
  title  = {Dynamic image reconstruction with motion priors in application to 3D magnetic particle imaging},
  author = {Christina Brandt and Tobias Kluth and Tobias Knopp and Lena Westen},
  journal= {arXiv preprint arXiv:2306.11625},
  year   = {2023}
}