A PDE Approach to Data-Driven Sub-Riemannian Geodesics in SE(2).
Erik J. BekkersRemco DuitsAlexey MashtakovGonzalo R. SanguinettiPublished in: SIAM J. Imaging Sci. (2015)
Keyphrases
- data driven
- shape space
- riemannian metric
- geodesic distance
- fisher information
- information geometry
- partial differential equations
- geodesic paths
- shape analysis
- infinite dimensional
- level set
- quotient space
- shape model
- euclidean space
- preserving transformations
- finite dimensional
- log euclidean
- geometric properties
- scale spaces
- anisotropic diffusion
- shape representation
- closed curves
- riemannian manifolds
- image magnification
- statistical analysis
- shortest path
- curve evolution
- conservation laws
- high order
- lie group
- differential geometry
- vector space
- numerical solution
- positive definite
- tensor field
- information theory
- vector field
- euclidean metric
- discrete geometry
- scale space
- convex sets
- diffusion equation
- euclidean distance
- image enhancement
- image denoising
- statistical shape model
- geometric structure
- energy functional
- boundary conditions
- parameter space