A Variational Model for Joint Motion Estimation and Image Reconstruction

Burger M (2018)


Publication Status: Published

Publication Type: Journal article

Publication year: 2018

Journal

Publisher: SIAM PUBLICATIONS

Book Volume: 11

Pages Range: 94-128

Journal Issue: 1

URI: https://arxiv.org/pdf/1607.03255

DOI: 10.1137/16M1084183

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.

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How to cite

APA:

Burger, M. (2018). A Variational Model for Joint Motion Estimation and Image Reconstruction. Siam Journal on Imaging Sciences, 11(1), 94-128. https://doi.org/10.1137/16M1084183

MLA:

Burger, Martin. "A Variational Model for Joint Motion Estimation and Image Reconstruction." Siam Journal on Imaging Sciences 11.1 (2018): 94-128.

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