%0 Journal Article %F J1 %A Robuffo Giordano, P. %A Vendittelli, M. %A Laumond, J.-P. %A Součres, P. %T {Nonholonomic distance to polygonal obstacles for a car-like robot of polygonal shape} %J IEEE Transactions on Robotics %V 22 %N 5 %P 1040-1047 %X This paper shows how to compute the nonholonomic distance between a polygonal car-like robot and polygonal obstacles. The solution extends previous work of Reeds and Shepp by finding the shortest path to a manifold (rather than to a point) in configuration space. Based on optimal control theory, the proposed approach yields an analytic solution to the problem %U http://www.kyb.tuebingen.mpg.de/fileadmin/user_upload/files/publications/TRO06_[0].pdf %U http://dx.doi.org/10.1109/TRO.2006.878956 %8 September %D 2006