The cubic de Casteljau construction and Riemannian cubics

DOI10.1016/j.cagd.2019.101789zbMath1505.65109OpenAlexW2980818805WikidataQ115359909 ScholiaQ115359909MaRDI QIDQ2010362

Lyle Noakes, Erchuan Zhang

Publication date: 27 November 2019

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2019.101789

zbMATH Keywords

Taylor seriesnumerical analysiscubic de Casteljau algorithmRiemannian cubics

Mathematics Subject Classification ID

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

Related Items (1)

Apollonian de Casteljau-type algorithms for complex rational Bézier curves

Cites Work

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• A de Casteljau algorithm for generalized Bernstein polynomials
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• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• The De Casteljau algorithm on Lie groups and spheres
• Nonlinear damped oscillators on Riemannian manifolds: numerical simulation
• On de Casteljau-type algorithms for rational Bézier curves
• Nonlinear damped oscillators on Riemannian manifolds: fundamentals
• Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds
• The de casteljau algorithm on SE(3)
• Cubic Splines on Curved Spaces
• Accelerations of Riemannian quadratics
• A Numerical Algorithm for $C^2$-Splines on Symmetric Spaces

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