Shape spaces: from geometry to biological plausibility
From MaRDI portal
Publication:6606498
DOI10.1007/978-3-030-98661-2_118zbMATH Open1547.94028MaRDI QIDQ6606498
Nicolas Charon, Laurent Younes
Publication date: 16 September 2024
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Applications of manifolds of mappings to the sciences (58D30) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Sub-Riemannian geometry (53C17)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- The mathematics and mechanics of biological growth
- Functional and shape data analysis
- A continuum mechanical approach to geodesics in shape space
- Computing quasiconformal maps using an auxiliary metric and discrete curvature flow
- Gromov-Wasserstein distances and the metric approach to object matching
- Large deformation diffeomorphic metric curve mapping
- On shape of plane elastic curves
- A metric on shape space with explicit geodesics
- Analysis of two-dimensional non-rigid shapes
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- A model of controlled growth
- Hybrid Riemannian metrics for diffeomorphic shape registration
- Shape analysis of surfaces using general elastic metrics
- Vanishing distance phenomena and the geometric approach to SQG
- Shape deformation analysis from the optimal control viewpoint
- An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
- Constructing reparameterization invariant metrics on spaces of plane curves
- Riemannian geometries on spaces of plane curves
- Metamorphoses through Lie group action
- Overview of the geometries of shape spaces and diffeomorphism groups
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
- Operator-valued kernels for learning from functional response data
- Statistical shape analysis. With applications in R
- Analysis in Banach Spaces
- Estimation of a growth development with partial diffeomorphic mappings
- On the Shape of Plane Images
- Time Discrete Geodesic Paths in the Space of Images
- Metric registration of curves and surfaces using optimal control
- Sub-Riemannian Methods in Shape Analysis
- Shape deformation and optimal control
- Numerical Geometry of Non-Rigid Shapes
- Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
- Computable Elastic Distances Between Shapes
- Variational problems on flows of diffeomorphisms for image matching
- Computational anatomy: an emerging discipline
- A Sub-Riemannian Modular Framework for Diffeomorphism-Based Analysis of Shape Ensembles
- Topological Methods in Hydrodynamics
- Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential
- Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems
- Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves
- Fidelity metrics between curves and surfaces: currents, varifolds, and normal cycles
- SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS
- A First Course in Continuum Mechanics
- Theory of Reproducing Kernels
- Shapes and diffeomorphisms
This page was built for publication: Shape spaces: from geometry to biological plausibility
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6606498)