Sub-Riemannian geodesics in \(\mathrm{SO}(3)\) with application to vessel tracking in spherical images of retina

DOI10.1134/S1064562417020181zbMath1373.49057OpenAlexW2614653482WikidataQ115247458 ScholiaQ115247458MaRDI QIDQ2399522

Alexey P. Mashtakov, Ivan Beschastnyi, Yuri L. Sachkov, Erik J. Bekkers, Remco Duits

Publication date: 24 August 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562417020181

zbMATH Keywords

vessel trackingspherical images of retinasub-Riemannian geodesics in \(\mathrm{SO}(3)\)

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17) Manifolds and measure-geometric topics (49Q99)

Related Items (1)

Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis

Cites Work

• A cortical based model of perceptual completion in the roto-translation space
• Control theory from the geometric viewpoint.
• Association fields via cuspless sub-Riemannian geodesics in SE(2)
• A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)
• Sub-Riemannian distance in the Lie groups SU(2) and SO(3)
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces

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