Quaternionic approach to equiform kinematics and line-elements of Euclidean 4-space and 3-space.
Georg NawratilPublished in: Comput. Aided Geom. Des. (2016)
Keyphrases
- euclidean space
- higher dimensional
- low dimensional
- dimensional euclidean space
- vector space
- finite dimensional
- riemannian manifolds
- discrete space
- pairwise distances
- multi dimensional scaling
- reproducing kernel hilbert space
- shape analysis
- embedding space
- geodesic distance
- euclidean distance
- data points
- lie group
- metric space
- quadratic form
- high dimensional
- infinite dimensional
- principal component analysis
- manifold learning
- constant curvature
- geometrical structure
- fourier transform
- tangent space
- dimensionality reduction
- input space
- line segments
- dissimilarity matrix
- high dimensional data