A continuum mechanical approach to geodesics in shape space

DOI10.1007/s11263-010-0416-9zbMath1235.68309OpenAlexW2082582926MaRDI QIDQ408936

Martin Rumpf, Benedikt Wirth, Leah Bar, Guillermo Sapiro

Publication date: 12 April 2012

Published in: International Journal of Computer Vision (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11299/180741

zbMATH Keywords

geodesicsviscous fluidsRiemannian shape spacerigid body motion invariancevariational time discretization

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Machine vision and scene understanding (68T45)

Related Items (13)

Time Discrete Geodesic Paths in the Space of Images ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ On diffeologies for power sets and measures ⋮ HV geometry for signal comparison ⋮ Suitable spaces for shape optimization ⋮ A metric approach to elastic reformations ⋮ Continuous Procrustes Distance Between Two Surfaces ⋮ Optical Flow ⋮ An SL(2) invariant shape median ⋮ Real-Time Nonlinear Shape Interpolation ⋮ Overview of the geometries of shape spaces and diffeomorphism groups ⋮ Least action principles for incompressible flows and geodesics between shapes ⋮ New mathematical and algorithmic schemes for pattern classification with application to the identification of writers of important ancient documents

Uses Software

• LDDMM

Cites Work

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