On Manifold Hypothesis: Hypersurface Submanifold Embedding Using Osculating Hyperspheres.
Benyamin GhojoghFakhri KarrayMark CrowleyPublished in: CoRR (2022)
Keyphrases
- low dimensional
- projective geometry
- nonlinear dimensionality reduction
- graph embedding
- laplacian eigenmaps
- manifold embedding
- euclidean space
- embedding space
- graph laplacian
- manifold learning
- vector space
- manifold structure
- geometrical structure
- laplace beltrami
- geodesic distance
- riemannian metric
- tangent space
- dimensionality reduction
- high dimensional
- riemannian manifolds
- shape space
- data points
- feature space
- shape analysis
- latent space
- computer vision
- camera parameters
- locally linear embedding
- kernel pca
- structure from motion
- camera calibration
- object recognition