Geometry-Preserving Lie Group Integrators for Differential Equations on the Manifold of Symmetric Positive Definite Matrices.
Lucas DrumetzAlexandre Reiffers-MassonNaoufal El BekriFranck VermetPublished in: GSI (2) (2021)
Keyphrases
- differential equations
- lie group
- log euclidean
- riemannian manifolds
- geometric structure
- riemannian metric
- geodesic distance
- euclidean space
- vector space
- dynamical systems
- infinite dimensional
- parameter space
- covariance matrices
- numerical solution
- partial differential equations
- numerical methods
- finite dimensional
- vector field
- mean shift
- multi class classification
- linear transformation
- feature space
- gaussian distribution
- manifold learning
- metric space
- high dimensional
- image segmentation
- positive definite
- covariance matrix
- image denoising
- symmetric positive definite