Geometry of curves with application to aircraft trajectories analysis

DOI10.5802/afst.1452zbMath1325.53117OpenAlexW2566355011MaRDI QIDQ744945

Stéphane Puechmorel

Publication date: 12 October 2015

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1452

Mathematics Subject Classification ID

Application models in control theory (93C95) Applications of differential geometry to physics (53Z05)

Cites Work

• An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
• Riemannian geometries on spaces of plane curves
• The fundamental equations of a submersion
• Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
• A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
• The Geometry of Shape Spaces
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• On Geodesics in Euclidean Shape Spaces
• Unnamed Item

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