Intrinsic shape analysis: Geodesic principal component analysis for Riemannian manifolds modulo Lie group actions. Discussion paper with rejoinder.

By Stephan F. Huckemann, Thomas Hotz, Axel Munk. 2010

107 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e75e3bbd2218858e6bc2e35553875ea3c59b89d1

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Citations in the corpus

• A smeary central limit theorem for manifolds with application to high-dimensional spheres (2018, methodology): “We phrase our general CLT in terms of sufficiently well behaved generalized Fréchet means, e.g. geodesic principal components (Huckemann and Ziezold (2006); Huckemann et al. (2010)) or principal nested spheres (Jung et al. (2012, 2011)).”
• Inference on 3D Procrustes Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models (2010, methodology): “Data analysis The distance of the shape of a frustum to the geodesic spanned by the shapes of cylinders is computed via a method proposed in Huckemann et al. (2010).”