Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements

2006/07/01 by Xavier Pennec · 756 citations
Computer Science · Mathematics · #Affine transformation #Algorithm #Artificial intelligence #Computer science #Covariance #Curvature #Geometric transformation #Geometry #Image (mathematics) #Information geometry #Mahalanobis distance #Mathematics #Medical Image Segmentation Techniques #Metric (unit) #Morphological variations and asymmetry #Pure mathematics #Riemannian geometry #Rigid transformation #Statistical and numerical algorithms #Statistics #Transformation (genetics)

paper · open access · doi:10.1007/s10851-006-6228-4

published in Journal of Mathematical Imaging and Vision 25(1), 127-154 (Springer Science+Business Media)

openalex publication_date 2006/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Citations

• A Survey of the Statistical Theory of Shape
• Riemannian center of mass and mollifier smoothing
• Riemannian Geometry

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