Generalized fast marching method for computing highest threatening trajectories with curvature constraints and detection ambiguities in distance and radial speed

Frédéric Barbaresco (1) , François Desquilbet (2) , Johann Dreo (3, 4) , Jean-Marie Mirebeau (5, 6)

1 Thales Air Systems
2 ENS-PSL - École normale supérieure - Paris
3 LISSI - Laboratoire Images, Signaux et Systèmes Intelligents
4 TRT - Thales Research and Technologies [Orsay]
5 CNRS - Centre National de la Recherche Scientifique
6 LMO - Laboratoire de Mathématiques d'Orsay

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; radar network configuration

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

Frédéric Barbaresco, François Desquilbet, Johann Dreo, Jean-Marie Mirebeau. Generalized fast marching method for computing highest threatening trajectories with curvature constraints and detection ambiguities in distance and radial speed. 2018. ⟨hal-01981955v2⟩