Shortest paths of bounded curvature in the plane

The Mathematical Theory of Optimal Processes

Richard Bellman, L. S. Pontryagin, V. G. Boltyanskiĭ et al. · Econometrica · 1965 · 4.3K citations

Natural Sciences, Mathematics, Optimization +13

The Mathematical Theory of Optimal Processes

M. L. Chambers, L. S. Pontryagin, V. G. Boltyanskiĭ et al. · OR · 1965 · 3.3K citations

Natural Sciences, Mathematics, Optimization +13

On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents

Lester E. Dubins · American Journal of Mathematics · 1957 · 3K citations

Natural Sciences, Mathematics, Computational Geometry +13

Optimal paths for a car that goes both forwards and backwards

James A. Reeds, Lawrence A. Shepp · Pacific Journal of Mathematics · 1990 · 1.4K citations · Full text

Computing, Computer Science, Path Planning +6