The classification of homotopy classes of bounded curvature paths

DOI10.1007/s11856-016-1321-xzbMath1354.53007arXiv1403.5314OpenAlexW1899339450MaRDI QIDQ314390

Joachim Hyam Rubinstein, José L. Ayala

Publication date: 16 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5314

zbMATH Keywords

homotopy classesbounded curvature paths

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Shape theory (55P55)

Related Items (5)

Markov-Dubins path via optimal control theory ⋮ Elongation of curvature-bounded path ⋮ On the topology of the spaces of curvature constrained plane curves ⋮ Spaces of curves with constrained curvature on hyperbolic surfaces ⋮ Census of bounded curvature paths

Cites Work

• On plane curves with curvature
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• CONNECTEDNESS AND MINIMAL LENGTH ELEMENTS IN SPACES OF BOUNDED CURVATURE PATHS

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