Optimal Trajectories of Curvature Constrained Motion in the Hamilton–Jacobi Formulation

A fast marching level set method for monotonically advancing fronts.

James A. Sethian · Proceedings of the National Academy of Sciences · 1996 · 3.2K citations

Natural Sciences, Computational Engineering, Mathematics +16

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

A fast sweeping method for Eikonal equations

Hongkai Zhao · Mathematics of Computation · 2004 · 1.1K citations · Full text

Computing, Computer Science, Mathematics +12

Convergence of approximation schemes for fully nonlinear second order equations

Guy Barles, Panagiotis E. Souganidis · Asymptotic Analysis · 1991 · 1K citations

Natural Sciences, Computer Science, Computational Fluid Dynamics +12