Interpolation in special orthogonal groups

DOI10.1093/imanum/drn033zbMath1175.65023OpenAlexW2055970595MaRDI QIDQ5323982

Tatiana Shingel

Publication date: 3 August 2009

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drn033

zbMATH Keywords

interpolationLie groupsLie algebraspecial orthogonal groupinterpolating curvehigh degree of smoothness

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Analysis on real and complex Lie groups (22E30) Numerical interpolation (65D05) Analysis on other specific Lie groups (43A80)

Related Items (8)

Fractional derivative for interpolation in \(\mathbb{R}^n\) and \(\mathrm{SO}(n)\) applications in functionally graded materials and rigid body transformations ⋮ Spherical essentially non-oscillatory (SENO) interpolation ⋮ A gradient-descent method for curve fitting on Riemannian manifolds ⋮ Numerical algorithms for spline interpolation on space of probability density functions ⋮ Galerkin Lie-group variational integrators based on unit quaternion interpolation ⋮ Data fitting on manifolds with composite Bézier-like curves and blended cubic splines ⋮ Manifold-valued subdivision schemes based on geodesic inductive averaging ⋮ Approximating the derivative of manifold-valued functions

This page was built for publication: Interpolation in special orthogonal groups