A Novel Dynamic System in the Space of SPD Matrices with Applications to Appearance Tracking

DOI10.1137/110853376zbMath1279.62133OpenAlexW2017262657WikidataQ42968222 ScholiaQ42968222MaRDI QIDQ2873209

Baba C. Vemuri, Guang Cheng

Publication date: 23 January 2014

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3783362

zbMATH Keywords

Riemannian geometrycovariance descriptorintrinsic recursive filtersspace of symmetric positive definite matrices

Mathematics Subject Classification ID

Bayesian inference (62F15) Image analysis in multivariate analysis (62H35) Positive matrices and their generalizations; cones of matrices (15B48) Global differential geometry (53C99) Special matrices (15B99)

Related Items (9)

Unsupervised manifold learning with polynomial mapping on symmetric positive definite matrices ⋮ The Derivative of the Matrix Geometric Mean with an Application to the Nonnegative Decomposition of Tensor Grids ⋮ Statistics on the Stiefel manifold: theory and applications ⋮ Robust Geodesic Regression ⋮ Recursive Computation of the Fréchet Mean on Non-positively Curved Riemannian Manifolds with Applications ⋮ Warped Riemannian Metrics for Location-Scale Models ⋮ Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels ⋮ Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means ⋮ Conic Geometric Optimization on the Manifold of Positive Definite Matrices

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