Rethinking the Riemannian logarithm on flag manifolds as an orthogonal alignment problem

DOI10.1007/978-3-031-38271-0_37MaRDI QIDQ6138142

Tom Szwagier, Xavier Pennec

Publication date: 16 January 2024

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

zbMATH Keywords

flag manifoldsprocrustes analysisRiemannian logarithmorthogonal alignment

Mathematics Subject Classification ID

Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Riemannian geometric statistics in medical image analysis
• Barycentric subspace analysis on manifolds
• Optimization on flag manifolds
• The fundamental equations of a submersion
• A generalized solution of the orthogonal Procrustes problem
• Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds
• The Geometry of Flag Manifolds
• Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance
• Introduction to Riemannian Geometry and Geometric Statistics: From Basic Theory to Implementation with Geomstats

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