@Article{IJNAM-16-116,
author = {Gilliocq-Hirtz , Diane and Belhachmi , Zakaria},
title = {​A Space-Time Parallel Method for the Optic Flow Estimation in Large Displacements and Varying Illumination Case},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {16},
number = {1},
pages = {116--138},
abstract = {<p style="text-align: justify;">We consider a unified variational PDEs model to solve the optic flow problem for
large displacements and varying illumination. Although, the energy functional is nonconvex and
severely nonlinear, we show that the model offers a well suited framework to extend the efficient
methods we used for small displacements. In particular, we resort to an adaptive control of the
diffusion and the illumination coefficients which allows us to preserve the edges and to obtain
a sparse vector field. We develop a combined space-time parallel programming strategy based
on a Schwarz domain decomposition method to speed up the computations and to handle high
resolution images, and the parareal algorithm, to enhance the speedup and to achieve a lowest-energy
local minimum. This full parallel method gives raise to several iterative schemes and allows
us to obtain a good balance between several objectives, e.g. accuracy, cost reduction, time saving
and achieving the &quot;best&quot; local minimum. We present several numerical simulations to validate
the different algorithms and to compare their performances.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/12796.html}
}