The geometric median on Riemannian manifolds with application to robust atlas estimation

2008/11/14 by P. Thomas Fletcher, Suresh Venkatasubramanian, Sarang Joshi · 163 citations
Environmental Science · Mathematics · #Algorithm #Atlas (anatomy) #Curvature #Estimator #Euclidean geometry #Euclidean space #Geodesic #Geometric analysis #Geometric flow #Geometry #Information geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Morphological variations and asymmetry #Pure mathematics #Riemannian geometry #Riemannian manifold #Robustness (evolution) #Scalar curvature #Soil Geostatistics and Mapping #Statistical and numerical algorithms #Statistical manifold #Statistics #Uniqueness

paper · open access · doi:10.1016/j.neuroimage.2008.10.052

published in NeuroImage 45(1), S143-S152 (Elsevier BV)

openalex publication_date 2008/11/14 · crossref created 2008/11/14 · crossref issued 2009/03/01 · crossref published 2009/03/01 · crossref published-print 2009/03/01 · crossref deposited 2018/12/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/08 · openalex updated_date 2026/07/29

Citations

• Comparison Theorems in Riemannian Geometry
• Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements
• Fast approximations for sums of distances, clustering and the Fermat–Weber problem
• A note on Fermat's problem
• The algebraic degree of geometric optimization problems
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Riemannian center of mass and mollifier smoothing

Cited by

• Geometric median [wikipedia]