On the convergence of some Procrustean averaging algorithms

DOI10.1080/17442500512331341059zbMath1079.60018OpenAlexW2080795841MaRDI QIDQ5460724

David Groisser

Publication date: 18 July 2005

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500512331341059

zbMATH Keywords

shape spaceRiemannian averagingGPA algorithmProcrustean means

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Methods of local Riemannian geometry (53B21)

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Cites Work

• The Riemannian structure of Euclidean shape spaces: A novel environment for statistics
• Newton's method, zeroes of vector fields, and the Riemannian center of mass
• Locating Fréchet means with application to shape spaces
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• On Geodesics in Euclidean Shape Spaces
• Riemannian center of mass and mollifier smoothing
• On the consistency of procrustean mean shapes
• Mean size-and-shapes and mean shapes: a geometric point of view