HOUGH TECHNIQUES FOR FAST OPTIMIZATION OF LINEAR CONSTANT VELOCITY MOTION IN MOVING INFLUENCE FIELDS

Consider a projectile that must be launched at a given time from a giv en point into linear constant velocity motion, facing possible encount ers with other objects moving at known constant speeds. The cost (or u tility) of interaction between the projectile and each object is quant ified by an essentially arbitrary, possibly object-specific, function of proximity. It is shown that this constrained problem framework allo ws fast approximation of the globally optimal projectile velocity usin g Hough-Transform techniques.