Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics.
Dirk LebiedzVolkmar ReinhardtJochen SiehrPublished in: J. Comput. Phys. (2010)
Keyphrases
- geodesic distance
- tangent space
- information geometry
- configuration space
- fisher information
- manifold learning
- riemannian manifolds
- euclidean space
- chemical reaction
- differential geometry
- riemannian metric
- shape space
- manifold alignment
- chemical reactions
- geometric structure
- three dimensional
- lie group
- multiscale
- finite dimensional
- planar curves
- infinite dimensional
- euclidean metric
- experimental data
- shortest path
- euclidean distance
- low dimensional
- trajectory data
- moving objects
- covariance matrices
- log euclidean
- motion patterns
- distance transform
- feature space
- shape analysis