Data fitting on manifolds with composite Bézier-like curves and blended cubic splines

DOI10.1007/s10851-018-0865-2zbMath1492.65047OpenAlexW2890410771MaRDI QIDQ1999473

Pierre-Yves Gousenbourger, Estelle M. Massart, Pierre-Antoine Absil

Publication date: 27 June 2019

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

Full work available at URL: https://doi.org/10.1007/s10851-018-0865-2

zbMATH Keywords

interpolationsmoothingRiemannian manifolddata fittingcurve fittingblended cubic spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

\(LS(3)\)-equivalence conditions of control points and application to spatial Bézier curves and surfaces ⋮ High-order splines on Riemannian manifolds ⋮ Sasaki metric for spline models of manifold-valued trajectories ⋮ A Grassmann manifold handbook: basic geometry and computational aspects ⋮ Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds ⋮ Rolling Maps and Nonlinear Data ⋮ Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices ⋮ Balanced Truncation for Parametric Linear Systems Using Interpolation of Gramians: A Comparison of Algebraic and Geometric Approaches ⋮ Low-rank multi-parametric covariance identification

Uses Software

• Manopt

Cites Work

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