A new article is available in IPOL: http://www.ipol.im/pub/art/2019/118/
Juan Francisco Garamendi, Vanel Lazcano, and Coloma Ballester,
Joint TV-L1 Optical Flow and Occlusion Estimation,
Image Processing On Line, 9 (2019), pp. 432–452.
https://doi.org/10.5201/ipol.2019.118
Abstract
This document describes an implementation of the energy functional
minimization proposed by Ballester, Garrido, Lazcano and Caselles for
joint optical flow and occlusion estimation. The method build up from
the ideas behind the TV-L1 approach introduced by Zach, Pock and Bischof
in 2007 but incorporating information that allows to detect occlusions.
This information is based on the divergence of the flow and the proposed
energy favors the location of occlusions on regions where this
divergence is negative. The implemented variational method uses three
consecutive frames. The energy functional is composed of regularization
terms using the total variation, a data term using the L1 norm, and a
term dealing with the occlusions. In the present implementation, we
solve the stationary system of partial differential equations arising
from the dual minimization problem associated with the TV operator by a
variation of the box relaxation numerical scheme proposed by Garamendi,
Gaspar, Malpica and Schiavi. This makes the overall algorithm faster
than previous implementations based on a gradient descent method.
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