Nonlinear corner-cutting

DOI10.1023/A:1018940112654zbMath0908.65008OpenAlexW243180070MaRDI QIDQ1127000

Lyle Noakes

Publication date: 9 August 1998

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018940112654

zbMATH Keywords

algorithmconvergenceRiemannian metricgeodesicscubic polynomial curvesnonlinear corner-cutting

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (16)

Non-uniform interpolatory subdivision schemes with improved smoothness ⋮ The shape of spherical quartics ⋮ Null cubics and Lie quadratics ⋮ Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces ⋮ Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting ⋮ On parametric smoothness of generalised B-spline curves ⋮ Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds ⋮ Smoothing nonlinear subdivision schemes by averaging ⋮ Non-null Lie quadratics in E3 ⋮ \(C^{2}\) spherical Bézier splines ⋮ Duality and Riemannian cubics ⋮ Manifold-valued subdivision schemes based on geodesic inductive averaging ⋮ Nonlinear subdivision through nonlinear averaging ⋮ A global approach to the refinement of manifold data ⋮ Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity ⋮ A variational approach to spline curves on surfaces

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