A class of generalized B-spline quaternion curves

DOI10.1016/J.AMC.2015.09.025zbMath1410.65038OpenAlexW2201388961MaRDI QIDQ1732188

Wen Fan, Ling Hong, Ren-zheng Xu, Yan Xing, Jie-qing Tan

Publication date: 22 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.025

zbMATH Keywords

quaternion\(C^{k}\)-continuity\(S^{3}\) (unit 3-sphere), generalized B-splineSO(3)(3D rotation group)

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15)

Related Items (3)

Smooth orientation interpolation using parametric quintic-polynomial-based quaternion spline curve ⋮ \(C^2\)-continuous orientation planning for robot end-effector with B-spline curve based on logarithmic quaternion ⋮ The max-product generalized sampling operators: convergence and quantitative estimates

Cites Work

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

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