The paper adapts the large deformation diffeomorphic metric mapping framework for image registration to the indirect setting where a template is registered against a target that is given through indirect noisy observations. The registration uses diffeomorphisms that transform the template through a (group) action. These diffeomorphisms are generated by solving a flow equation that is defined by a velocity field with certain regularity. The theoretical analysis includes a proof that indirect image registration has solutions (existence) that are stable and that converge as the data error tends so zero, so it becomes a well-defined regularization method. The paper concludes with examples of indirect image registration in 2D tomography with very sparse and/or highly noisy data.
@article{arxiv.1706.04048,
title = {Indirect Image Registration with Large Diffeomorphic Deformations},
author = {Chong Chen and Ozan Öktem},
journal= {arXiv preprint arXiv:1706.04048},
year = {2019}
}