Computation of globally optimal curvature penalized paths. Applications to radar network configuration.

Jean-Marie Mirebeau (1, 2) , François Desquilbet (3) , Johann Dreo (4)

1 CNRS - Centre National de la Recherche Scientifique
2 LMO - Laboratoire de Mathématiques d'Orsay
3 ENS-PSL - École normale supérieure - Paris
4 LISSI - Laboratoire Images, Signaux et Systèmes Intelligents

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.

Mots clés: Curvature penalization; anisotropic fast marching; image segmentation; radar network configuration

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Jean-Marie Mirebeau, François Desquilbet, Johann Dreo. Computation of globally optimal curvature penalized paths. Applications to radar network configuration.. 2018. ⟨hal-01981955v1⟩