Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves

DOI10.1016/j.matcom.2012.04.003zbMath1263.65018OpenAlexW2080955464WikidataQ114149983 ScholiaQ114149983MaRDI QIDQ1761629

Vito Vitrih, Marjeta Krajnc

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.04.003

zbMATH Keywords

spline interpolationquaternionspath planningHermite interpolationcomputer animationmotion designEuler-Rodrigues framerotation minimizing framecamera motionrational motions of a rigid bodyrobot manipulationspatial quintic Pythagorean-hodograph spline curves

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

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• Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves
• Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves
• Design of rational rotation–minimizing rigid body motions by Hermite interpolation

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