Rate-invariant analysis of covariance trajectories

DOI10.1007/s10851-018-0814-0zbMath1433.68472OpenAlexW2801097168WikidataQ129923633 ScholiaQ129923633MaRDI QIDQ1799669

Huiling Le, Jingyong Su, Anuj Srivastava, Zhengwu Zhang, Eric P. Klassen

Publication date: 19 October 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: http://eprints.nottingham.ac.uk/51245/1/k.JMIV-Anuj-et-al-accepted.pdf

zbMATH Keywords

vector bundlesinvariant metricscovariance trajectoriesrate-invariant classificationSPDM parallel transportSPDM Riemannian structure

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Geodesics in global differential geometry (53C22) Machine vision and scene understanding (68T45) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

LESA: Longitudinal Elastic Shape Analysis of Brain Subcortical Structures ⋮ \(O(n)\)-invariant Riemannian metrics on SPD matrices ⋮ Averaging Symmetric Positive-Definite Matrices ⋮ Localizing differentially evolving covariance structures via scan statistics ⋮ A Coherent Framework for Learning Spatiotemporal Piecewise-Geodesic Trajectories from Longitudinal Manifold-Valued Data ⋮ Amplitude mean of functional data on \(\mathbb{S}^2\) and its accurate computation

Uses Software

• fda (R)

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