A Fanning Scheme for the Parallel Transport along Geodesics on Riemannian Manifolds

DOI10.1137/17M1130617zbMath1396.53065WikidataQ115246940 ScholiaQ115246940MaRDI QIDQ4581903

Paul Jusselin, Stanley Durrleman, Maxime Louis, Susovan Pal, Benjamin Charlier

Publication date: 21 August 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldJacobi fieldparallel transportnumerical scheme

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

A hierarchical geodesic model for longitudinal analysis on manifolds ⋮ Numerical accuracy of ladder schemes for parallel transport on manifolds ⋮ Geodesic analysis in Kendall's shape space with epidemiological applications ⋮ Transporting deformations of face emotions in the shape spaces: a comparison of different approaches ⋮ Parallel transport on Kendall shape spaces

Cites Work

• Unnamed Item
• Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing
• Parallel transport in shape analysis: a scalable numerical scheme
• Geodesics, parallel transport \& one-parameter subgroups for diffeomorphic image registration
• Variational time discretization of geodesic calculus
• Parallel Transport with Pole Ladder: Application to Deformations of Time Series of Images
• Jacobi fields in groups of diffeomorphisms and applications
• Shapes and diffeomorphisms
• Schild's ladder parallel transport procedure for an arbitrary connection

This page was built for publication: A Fanning Scheme for the Parallel Transport along Geodesics on Riemannian Manifolds