We present a recent numerical method devoted to computing curves that globally minimize an energy featuring both a data driven term, and a second order curvature penalizing term. Applications to image segmentation are discussed. We then describe in detail recent progress on radar network configuration, in which the optimal curves represent an opponent's trajectories.
Publié le : 2018-10-04
Classification:
Curvature penalization,
anisotropic fast marching,
image segmentation,
radar network configuration,
Math. classification. 68U10, 49L25, 35F21, 65M06.,
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-01981955,
author = {Mirebeau, Jean-Marie and Desquilbet, Francois and DREO, Johann},
title = {Computation of globally optimal curvature penalized paths. Applications to radar network configuration.},
journal = {HAL},
volume = {2018},
number = {0},
year = {2018},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01981955}
}
Mirebeau, Jean-Marie; Desquilbet, Francois; DREO, Johann. Computation of globally optimal curvature penalized paths. Applications to radar network configuration.. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01981955/