Smooth orientation interpolation using parametric quintic-polynomial-based quaternion spline curve

DOI10.1016/J.CAM.2017.07.007zbMath1376.65010OpenAlexW2741968320MaRDI QIDQ1675390

Peilin Hong, Wen Fan, Yan Xing, Jie-qing Tan

Publication date: 27 October 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.07.007

zbMATH Keywords

computational efficiencyquaterniontension parametermotion of a rigid bodyinterpolation spline\(G^2\)-continuitysolid orientations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Free motion of a rigid body (70E15) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Bézier motions with end-constraints on speed ⋮ \(C^2\)-continuous orientation planning for robot end-effector with B-spline curve based on logarithmic quaternion

Cites Work

• Exponential control of a rotational motion of a rigid body using quaternions.
• A class of generalized B-spline quaternion curves
• Animated rotations using quaternions and splines on a 4D sphere
• Interpolating solid orientations with circular blending quaternion curves

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