=ADD= =author= Van Geem; Carl =title= Towards a Fast Solution Method for the General Robot Motion Planning Problem using a Manhattan-like Distance Function on a Non-uniform Grid in Configuration Space. (Proposal for Ph.D. Thesis) =number= 93-66 =year= 1993 =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1993/93-66.ps.gz =abstract= The generalized Piano Mover's Problem can be extended in several ways, e.g. by taking into account kinematics and dynamic constraints, by allowing obstacles to move slightly, by asking for a path that can be seen as a good pay-off between safest and shortest path, by planning with uncertainty, ... All these extensions are usually treated separately from each other in the literature. We will consider a combination of some of these extensions and we will investigate a direction of research that seems to be suitable for such combination. The approach plans in configuration space and is related to the potential field approach. The potential function however shall be replaced by an $L^1$-distance-like function on a non-homogenous higher-dimensional grid. This distance function shall be computed with a wavefront expanision algorithm. The approach seems to suit in a natural way to massively parallel implementation. =location= 2 =owner= 2 =source= 3 =reftype= 14