On Fréchet means in simplex shape spaces

DOI10.1239/aap/1067436325zbMath1049.60011OpenAlexW2017449363MaRDI QIDQ4454104

Huiling Le, Alfred Kume

Publication date: 7 March 2004

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1067436325

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (3)

Estimation of Riemannian Barycentres ⋮ Nonparametric estimation of means on Hilbert manifolds and extrinsic analysis of mean shapes of contours ⋮ A metric multidimensional scaling-based nonlinear manifold learning approach for unsupervised data reduction

Cites Work

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• The noncentral Bartlett decompositions and shape densities
• Wishart and pseudo-Wishart distributions and some applications to shape theory
• Size and shape spaces for landmark data in two dimensions (with discussion)
• The statistical theory of shape
• ON SIMPLEX SHAPE SPACES
• Riemannian center of mass and mollifier smoothing
• On the consistency of procrustean mean shapes
• The Fréchet mean shape and the shape of the means
• Estimating Fréchet means in Bookstein's shape space

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