Minimal geodesics bundles by active contours: Radar application for computation of most threathening trajectories areas & corridors

We propose to use shortest path computation method based on Front propagation by Level Set for a radar application. This new radar function consists in computing most threathening trajectories & corridors in the radar coverage in order to adapt radar modes for detection optimization. This Radar problem may be declined as a variationnal problem solved by calculus of variations and geodesic active contours. A partial differential equation PDE drives the temporal evolution of contours of iso-energy (level lines of the manifold defined by the minimal potential surface given by the integration of local detection probability along every potential trajectories). We proove that this PDE approach could be also extended to others radar applications (clutter segmentation, spectral estimation, ...).