Sub-Riemannian Methods in Shape Analysis

DOI10.1007/978-3-030-31351-7_17OpenAlexW2991226590MaRDI QIDQ3300551

Barbara Gris, Laurent Younes, Alain Trouvé

Publication date: 29 July 2020

Published in: Handbook of Variational Methods for Nonlinear Geometric Data (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31351-7_17

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (3)

An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching ⋮ Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential ⋮ Multi-shape registration with constrained deformations

Uses Software

• KeOps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional and shape data analysis
• Sobolev metrics on shape space of surfaces
• Constrained diffeomorphic shape evolution
• Large deformation diffeomorphic metric curve mapping
• On shape of plane elastic curves
• A metric on shape space with explicit geodesics
• Medial representations. Mathematics, algorithms and applications
• Multivariate interpolation at arbitrary points made simple
• Control theory from the geometric viewpoint.
• Sparse adaptive parameterization of variability in image ensembles
• Matrix-valued kernels for shape deformation analysis
• Gaussian diffeons for surface and image matching within a Lagrangian framework
• Representation of surfaces with normal cycles and application to surface registration
• Shape deformation analysis from the optimal control viewpoint
• An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
• Riemannian geometries on spaces of plane curves
• 2D-shape analysis using conformal mapping
• Overview of the geometries of shape spaces and diffeomorphism groups
• Registration of Multiple Shapes using Constrained Optimal Control
• Statistical Shape Analysis, with Applications in R
• The Varifold Representation of Nonoriented Shapes for Diffeomorphic Registration
• Modeling and Estimation of Shape Deformation for Topology-Preserving Object Tracking
• Diffeomorphic Surface Registration with Atrophy Constraints
• 3D Normal Coordinate Systems for Cortical Areas
• Diffeomorphic Active Contours
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Numerical Optimization
• Computable Elastic Distances Between Shapes
• Radial Basis Functions
• Variational problems on flows of diffeomorphisms for image matching
• A Sub-Riemannian Modular Framework for Diffeomorphism-Based Analysis of Shape Ensembles
• SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS
• Theory of Reproducing Kernels
• Shapes and diffeomorphisms

This page was built for publication: Sub-Riemannian Methods in Shape Analysis