Projective Reeds-Shepp car onS2with quadratic cost

DOI10.1051/cocv:2008075zbMath1217.49034arXiv0805.4800OpenAlexW2125936793MaRDI QIDQ3558948

Francesco Rossi, Ugo V. Boscain

Publication date: 11 May 2010

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4800

zbMATH Keywords

lens spacesCarnot-Carathéodory distancegeometry of visionglobal cut locus

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)

Related Items (3)

Existence of planar curves minimizing length and curvature ⋮ Tracking of lines in spherical images via sub-Riemannian geodesics in \(\mathrm{SO}(3)\) ⋮ Association fields via cuspless sub-Riemannian geodesics in SE(2)

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