M. Kirby

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20122023

most citedPersistence Images: A Stable Vector Representation of Persistent Homology

172 citations · 228 across the 24 of their papers we have counts for

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3 papers · 1 filter

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-…

math.DG2015

Geometry of Curves in $R^{n}$ , Singular Value Decomposition, and Hankel Determinants

Xavier Álvarez-Vizoso, Robert Arn, Bruce Draper +2

Let $γ : I \to R^{n}$ be a parametric curve of class $C^{n + 1}$ , regular of order $n$ . The Frenet-Serret apparatus of $γ$ at $γ (t)$ consists of a frame $e_1(t), \dots ,…

Integral Invariants from Covariance Analysis of Embedded Riemannian Manifolds

Manifold Curvature Descriptors from Hypersurface Integral Invariants

Geometry of Curves in Rn, Singular Value Decomposition, and Hankel Determinants

Geometry of Curves in $R^{n}$ , Singular Value Decomposition, and Hankel Determinants