Approximation Bounds for Interpolation and Normals on Triangulated Surfaces and Manifolds.
Marc KhouryJonathan Richard ShewchukPublished in: CoRR (2019)
Keyphrases
- implicit surfaces
- spline curve
- error bounds
- surface reconstruction
- gaussian convolution
- stage stochastic programs
- error tolerance
- b spline
- smooth surfaces
- upper bound
- approximation methods
- lower bound
- worst case
- three dimensional
- principal curves
- surface shape
- geodesic paths
- differential operators
- point cloud
- closed form
- constant factor
- range data
- information geometry
- surface normals
- euclidean space
- surface geometry
- optimization process
- lower and upper bounds
- interpolation method
- surface meshes
- low dimensional
- delaunay triangulation
- reeb graph
- manifold learning
- high dimensional
- visual hull