Time minimization problem on the group of motions of a plane with admissible control in a half-disc

DOI10.1070/SM9609zbMath1492.49028arXiv2105.00232OpenAlexW3157054408MaRDI QIDQ5084681

Alexey P. Mashtakov

Publication date: 28 June 2022

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00232

zbMATH Keywords

optimal control problem

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Extremal trajectories in a time-optimal problem on the group of motions of a plane with admissible control in a circular sector

Cites Work

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• On sub-Riemannian geodesics in \(\mathrm{SE}(3)\) whose spatial projections do not have cusps
• A cortical based model of perceptual completion in the roto-translation space
• Vessel tracking via sub-Riemannian geodesics on the projective line bundle
• Tracking of lines in spherical images via sub-Riemannian geodesics in \(\mathrm{SO}(3)\)
• Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis
• Control theory from the geometric viewpoint.
• Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane
• Optimal paths for a car that goes both forwards and backwards
• Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry
• Association fields via cuspless sub-Riemannian geodesics in SE(2)
• Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group
• A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)
• Parallel Algorithm and Software for Image Inpainting via Sub-Riemannian Minimizers on the Group of Rototranslations
• Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist
• Poisson Structures
• Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Curve cuspless reconstructionviasub-Riemannian geometry

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