Riemannian locally linear embedding with application to Kendall shape spaces

DOI10.1007/978-3-031-38271-0_2MaRDI QIDQ6138108

Alain Trouvé, Xavier Pennec, Elodie Maignant

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

zbMATH Keywords

locally linear embeddingshape spacesoptimisation on quotient manifolds

Mathematics Subject Classification ID

Statistics (62-XX) Differential geometry (53-XX)

Cites Work

• Precise matching of PL curves in \(\mathbb R^N\) in the square root velocity framework
• Barycentric subspace analysis on manifolds
• Parallel transport on Kendall shape spaces
• Quotient elastic metrics on the manifold of arc-length parameterized plane curves
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Smoothing Splines on Riemannian Manifolds, with Applications to 3D Shape Space

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