Principal component geodesics for planar shape spaces

DOI10.1016/j.jmva.2008.08.008zbMath1161.62035OpenAlexW2077845414MaRDI QIDQ1002351

Stephan F. Huckemann, Thomas Hotz

Publication date: 25 February 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2008.08.008

zbMATH Keywords

principal component analysisgeodesicsRiemannian manifoldscomplex projective spaceshape analysiscomplex Bingham distributioncomplex Watson distribution

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Factor analysis and principal components; correspondence analysis (62H25) Geometric probability and stochastic geometry (60D05) Geodesics in global differential geometry (53C22)

Related Items (4)

Exploring the variability of DNA molecules via principal geodesic analysis on the shape space ⋮ Topological Analysis of Variance and the Maxillary Complex ⋮ Intrinsic inference on the mean geodesic of planar shapes and tree discrimination by leaf growth ⋮ Highly resistant gradient descent algorithm for computing intrinsic mean shape on similarity shape spaces

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