A Hopf-Lax formula for the level-set equation and applications to PDE-constrained shape optimisation.
Daniel KraftPublished in: MMAR (2014)
Keyphrases
- level set
- evolution equation
- shape prior
- partial differential equations
- signed distance function
- energy functional
- level set segmentation
- region based segmentation
- level set framework
- level set method
- active contours
- curve evolution
- variational framework
- shape constraints
- level set evolution
- image segmentation
- numerical solution
- level set based segmentation
- finite difference
- geometric active contours
- numerical methods
- shape model
- shape representation
- narrow band
- variational formulation
- hamilton jacobi
- energy function
- signed distance
- shape matching
- variational methods
- shape analysis
- variational level set method
- piecewise constant
- shape variations
- anisotropic diffusion
- differential equations
- mumford shah functional
- numerical scheme
- pose invariant
- gradient flow
- shape descriptors
- prior shape knowledge
- closed curves
- chan vese
- prior shape
- image dependent
- intensity information
- object boundaries
- euclidean distance
- graph cuts
- multiscale