Parallel transport on Kendall shape spaces

DOI10.1007/978-3-030-80209-7_12OpenAlexW3186800149MaRDI QIDQ2117835

Alain Trouvé, Xavier Pennec, Elodie Maignant, Nicolas Guigui

Publication date: 22 March 2022

Full work available at URL: https://arxiv.org/abs/2103.04611

zbMATH Keywords

parallel transportshape spaces

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items

Introduction to Riemannian Geometry and Geometric Statistics: From Basic Theory to Implementation with Geomstats ⋮ Riemannian locally linear embedding with application to Kendall shape spaces ⋮ Continuous Kendall shape variational autoencoders

Uses Software

• geomstats

Cites Work

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• The Riemannian structure of Euclidean shape spaces: A novel environment for statistics
• Geodesic analysis in Kendall's shape space with epidemiological applications
• Efficient parallel transport of deformations in time series of images: from Schild's to pole ladder
• Numerical accuracy of ladder schemes for parallel transport on manifolds
• Statistical Shape Analysis, with Applications in R
• A Fanning Scheme for the Parallel Transport along Geodesics on Riemannian Manifolds
• Smoothing Splines on Riemannian Manifolds, with Applications to 3D Shape Space

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