The cost of bounded curvature

DOI10.1016/j.comgeo.2012.10.008zbMath1317.51017OpenAlexW1989065580MaRDI QIDQ1947977

Hyo-Sil Kim, Otfried Schwarzkopf

Publication date: 29 April 2013

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2012.10.008

zbMATH Keywords

motion planningDubins carbounded-curvature

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Automated systems (robots, etc.) in control theory (93C85)

Cites Work

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• An algorithm for computing a convex and simple path of bounded curvature in a simple polygon
• Planning constrained motion
• Shortest paths of bounded curvature in the plane
• Approximation Algorithms for Curvature-Constrained Shortest Paths
• Bounded-Curvature Shortest Paths through a Sequence of Points Using Convex Optimization
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• A Complete Approximation Algorithm for Shortest Bounded-Curvature Paths
• Curvature-Constrained Shortest Paths in a Convex Polygon
• A Polynomial-Time Algorithm for Computing Shortest Paths of Bounded Curvature Amidst Moderate Obstacles
• Traveling Salesperson Problems for the Dubins Vehicle
• Curvature-bounded traversals of narrow corridors
• Planning Algorithms

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