Modeling Planar Shape Variation via Hamiltonian Flows of Curves

DOI10.1007/0-8176-4481-4_14zbMath1165.53364OpenAlexW289551323MaRDI QIDQ3628394

Alain Trouvé, Laurent Younes, Joan Alexis Glaunès

Publication date: 20 May 2009

Published in: Statistics and Analysis of Shapes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/0-8176-4481-4_14

zbMATH Keywords

Hamiltonian systemsinfinite-dimensional Riemannian manifoldsshape representation and recognition

Mathematics Subject Classification ID

Related Items (9)

Shape splines and stochastic shape evolutions: A second order point of view ⋮ Large deformation diffeomorphic metric curve mapping ⋮ Diffeomorphic Surface Registration with Atrophy Constraints ⋮ Efficient representation in spaces of plane curves ⋮ Planar curve registration using Bayesian inversion ⋮ Constrained diffeomorphic shape evolution ⋮ Extension to infinite dimensions of a stochastic second-order model associated with shape splines ⋮ Extension to BV functions of the large deformation diffeomorphisms matching approach ⋮ Shape deformation analysis from the optimal control viewpoint

Uses Software

• LDDMM

Cites Work

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• Geodesic shooting for computational anatomy
• 2D-shape analysis using conformal mapping
• Computing large deformation metric mappings via geodesic flows of diffeomorphisms
• On a Class of Diffeomorphic Matching Problems in One Dimension
• Dynamic programming algorithm optimization for spoken word recognition
• Computable Elastic Distances Between Shapes
• Variational problems on flows of diffeomorphisms for image matching
• Computational anatomy: an emerging discipline
• A Variational Approach to Nonrigid Morphological Image Registration
• Local Geometry of Deformable Templates

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