Cubic helical splines with Frenet-frame continuity

DOI10.1016/j.cagd.2011.08.003zbMath1252.65041OpenAlexW1998010028MaRDI QIDQ659846

Chang Yong Han, Song-Hwa Kwon

Publication date: 24 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.08.003

zbMATH Keywords

splineFrenet frameHermite interpolationgeometric continuitytangent indicatrixquaterniongraphical examplesPythagorean-hodographcubic helix

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

\(C^{1}\) and \(C^{2}\) interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames ⋮ A new method approximating offset curve by Bézier curve using parallel derivative curves

Cites Work

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• Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
• A characterization of quintic helices
• Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations

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