High-Dimensional Dataset Simplification by Laplace-Beltrami Operator.
Chenkai XuHongwei LinPublished in: CGI (2021)
Keyphrases
- laplace beltrami
- high dimensional
- shape analysis
- embedding space
- point cloud
- basis functions
- spectral analysis
- heat kernel
- graph laplacian
- riemannian manifolds
- low dimensional
- dimensionality reduction
- manifold learning
- laplacian eigenmaps
- wiener filter
- d mesh
- euclidean space
- differential operators
- parameter space
- nearest neighbor
- complex shapes
- data points
- input space
- feature space
- spectral clustering
- geometric structure
- clustering algorithm
- dimension reduction
- euclidean distance
- similarity search
- kernel function
- random walk
- d objects
- k means
- image segmentation