We propose a new image reconstruction model for spatiotemporal imaging in large deformation diffeomorphic metric mapping framework. This model can be divided into two sub-problems, where one is the usually static image reconstruction, and the other is the so-called indirect image registration. The indirect registration uses diffeomorphisms that transform the template to be reconstructed through a group action, which are generated by a flow equation that is defined by a velocity field with certain regularity.

This presentation is part of Minisymposium “MS73 - Mathematical Methods for Spatiotemporal Imaging (2 parts)”
organized by: Chong Chen (LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences) , Barbara Gris (Laboratoire Jacques-Louis Lions) , Ozan Öktem (KTH - Royal Institute of Technology) .

Authors:

Chong Chen (LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences)

Barbara Gris (Laboratoire Jacques-Louis Lions)

Ozan Öktem (KTH - Royal Institute of Technology)

Keywords:

bayesian methods, computed tomography, diffeomorphisms, image reconstruction, image registration, indirect image registration, inverse problems, nonlinear optimization, spatiotemporal imaging