@inproceedings{HSB2011,
 pages         = {315--328},
 booktitle     = {Energy Minimization Methods in Computer Vision and Pattern Recognition},
 author        = {Hoeltgen, Laurent and Setzer, Simon and Breuß, Michael},
 editor        = {Boykov, Y. and Kahl, F. and Lempitsky, V. and Schmidt, F.  R.},
 title         = {Intermediate Flow Field Filtering in Energy Based Optic Flow Computations},
 publisher     = {Springer Berlin Heidelberg},
 doi           = {10.1007/978-3-642-23094-3_23},
 keywords      = {reviewed},
 series        = {Lecture Notes in Computer Science},
 year          = {2011},
 date          = {2011},
 volume        = {6819},
 abstract      = {The Euler-Lagrange framework and splitting based methods are among
the most popular approaches to solve variational optic flow problems. These methods are commonly embedded in a coarse-to-fine strategy to be able to handle large
displacements. While the use of a denoising filter inbetween the warping is an important tool for splitting based approaches, such a practice is rather uncommon
for the Euler-Lagrange method. The question arises, why there is this surprising
difference in optic flow methods. In previous works it has also been stated that the
use of such a filtering leads to a modification of the underlying energy functional,
thus, there seems to be a difference in the energies that are actually minimised
depending on the chosen algorithmic approach.

The goal of this paper is to address these fundamental issues. By a detailed
numerical study we show in which way a filtering affects the evolution of the
energy for the above mentioned frameworks. Doing so, we not only give many
new insights on the use of filtering steps, we also bridge an important methodical
gap between the two commonly used implementation approaches.},
 timestamp     = {2016-03-09}
}