Two continuous methods for determining a minimal risk path through a minefield
AbstractTwo 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. These are solved via a shooting method and computational difficulties encountered in this process are discussed. 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 this system are investigated. The strengths and weaknesses of each approach are discussed.
Proceedings Computational Techniques and Applications Conference