Reconstructing high-quality images from undersampled dynamic MRI data is a challenging task and important for the success of this imaging modality. To remedy the naturally occurring artifacts due to measurement undersampling, one can incorporate a motion model into the reconstruction so that information can propagate across time frames. Current models for MRI imaging are using the optical flow equation. However, they are based on real-valued images. Here, we generalise the optical flow equation to complex-valued images and demonstrate, based on two real cardiac MRI datasets, that the new model is capable of improving image quality.
@article{arxiv.2412.12711,
title = {Complex extension of optical flow and its practical evaluation for undersampled dynamic MRI},
author = {Matthias J. Ehrhardt and Marco Mauritz},
journal= {arXiv preprint arXiv:2412.12711},
year = {2025}
}