Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves

DOI10.1016/J.CAGD.2011.07.004zbMath1252.65040OpenAlexW2056271191MaRDI QIDQ659852

Takis Sakkalis, Rida T. Farouki

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.2011.07.004

zbMATH Keywords

quaternionsroboticspolynomial identitiesPythagorean-hodograph curvescomplex numberscomputer animationHopf mapconstructive algorithmsrotation-minimizing framesspatial path planningswept surface design

Mathematics Subject Classification ID

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

Related Items (3)

Parametric curves with Pythagorean binormal ⋮ A complete classification of quintic space curves with rational rotation-minimizing frames ⋮ Rational rotation-minimizing frames -- recent advances and open problems

Cites Work

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• Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves
• Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames
• Design of rational rotation–minimizing rigid body motions by Hermite interpolation
• Mathematics of Surfaces XI

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