NDLI: Optical Flow on Moving Manifolds

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Grasmair, Markus Bauer, Martin Kirisits, Clemens
Copyright Year	2015
Abstract	Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this paper we study a Horn--Schunck-type spatio-temporal regularization functional for image sequences that have a non-Euclidean, time varying image domain. To that end we construct a Riemannian metric that describes the deformation and structure of this evolving surface. The resulting functional can be seen as a natural geometric generalization of previous work by Weickert and Schnörr in 2001 and Lefèvre and Baillet in 2008 for static image domains. In this paper we show the existence and well-posedness of the corresponding optical flow problem and derive necessary and sufficient optimality conditions. We demonstrate the functionality of our approach in two experiments using both synthetic and real data.
Starting Page	484
Ending Page	512
Page Count	29
File Format	PDF
DOI	10.1137/140965235
e-ISSN	19364954
Journal	SIAM Journal on Imaging Sciences (SJISBI)
Issue Number	1
Volume Number	8
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2015-03-03
Access Restriction	Subscribed
Subject Keyword	variational methods Improperly posed problems Image processing Applications evolving surfaces optical flow spatio-temporal regularization
Content Type	Text
Resource Type	Article

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