Two continuous methods for determining a minimal risk path through a minefield (original) (raw)

Two formulations for determining the minimal risk path of a vehicle through a minefield are considered and compared. Firstly, by following a calculus of variations argument a system of four coupled odes are derived. Secondly, the trajectory of the vehicle is approximated by a discrete (but large) system of coupled springs and masses resulting in a large but well behaved system of odes to solve. Numerical solutions to these systems are investigated. The strengths and weaknesses of each approach are discussed. C294