Cubic helical splines with Frenet-frame continuity
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Publication:659846
DOI10.1016/j.cagd.2011.08.003zbMath1252.65041OpenAlexW1998010028MaRDI QIDQ659846
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
splineFrenet frameHermite interpolationgeometric continuitytangent indicatrixquaterniongraphical examplesPythagorean-hodographcubic helix
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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- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Characterization and construction of helical polynomial space curves.
- 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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