9 citations · 14 across the 8 of their papers we have counts for
4 papers · 1 filter
Curvature of the Gauss map for normally flat submanifolds in space forms
Javier Álvarez-Vizoso
For a submanifold with flat normal bundle in a space form there is a normal orthonormal basis that simultaneously diagonalizes the corresponding Weingarten operators, and at which…
Integral Invariants from Covariance Analysis of Embedded Riemannian Manifolds
Javier Álvarez-Vizoso, Michael Kirby, Chris Peterson
Principal Component Analysis can be performed over small domains of an embedded Riemannian manifold in order to relate the covariance analysis of the underlying point set with the…
Manifold Curvature Descriptors from Hypersurface Integral Invariants
Javier Álvarez-Vizoso, Michael Kirby, Chris Peterson
Integral invariants obtained from Principal Component Analysis on a small kernel domain of a submanifold encode important geometric information classically defined in differential-…
Geometry of Curves in , Singular Value Decomposition, and Hankel Determinants
Xavier Álvarez-Vizoso, Robert Arn, Bruce Draper +2
Let be a parametric curve of class , regular of order . The Frenet-Serret apparatus of at consists of a frame $e_1(t), \dots ,…