A Variational Model for Joint Motion Estimation and Image Reconstruction
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Abstract
The aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eulerian motion model. The model can be set up in terms of the continuity equation or the brightness constancy equation. The analysis in this paper focuses on the latter for robust motion estimation on sequences of twodimensional images. We rigorously prove the existence of a minimizer in a suitable function space setting. Moreover, we discuss the numerical solution of the model based on primal-dual algorithms and investigate several examples. Finally, the benefits of our model compared to existing techniques, such as sequential image reconstruction and motion estimation, are shown.
Description
Keywords
Journal Title
Conference Name
Journal ISSN
1936-4954
Volume Title
Publisher
Publisher DOI
Sponsorship
Royal Society (IE110314)
Engineering and Physical Sciences Research Council (EP/M00483X/1)
Leverhulme Trust (RPG-2015-250)
Engineering and Physical Sciences Research Council (EP/N014588/1)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (691070)
Alan Turing Institute (unknown)
Engineering and Physical Sciences Research Council (EP/J009539/1)