172 citations · 305 across the 36 of their papers we have counts for
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math.DG2018★ 2 cited
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…
math.DG2018★ 1 cited
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-…