Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting

DOI10.1007/S10208-010-9080-2zbMath1217.65035OpenAlexW1998376654MaRDI QIDQ626448

N. Richter-Dyn, Ronald N. Goldman

Publication date: 18 February 2011

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-010-9080-2

zbMATH Keywords

data refinementLane-Riesenfeld algorithm\(p\)-averagesconvergence and smoothness analysisnonlinear subdivision schemesnonlinear symmetric averages

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Geometric Hermite interpolation in \(\mathbb{R}^n\) by refinements ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Smoothing nonlinear subdivision schemes by averaging ⋮ High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting ⋮ A global approach to the refinement of manifold data ⋮ Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators

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• Univariate subdivision and multi-scale transforms: The nonlinear case
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Accelerations of Riemannian quadratics

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