Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants

DOI10.1016/j.cagd.2013.03.001zbMath1286.65021OpenAlexW2052158637MaRDI QIDQ2443064

Rida T. Farouki, Takis Sakkalis, Chang Yong Han, P. Dospra

Publication date: 4 April 2014

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/7m71z9pw

zbMATH Keywords

interpolationalgorithmquaternionsPythagorean-hodograph curvescomputer animationHopf maprotation-minimizing frameEuler-Rodrigues framespatial motion planninggeometric sweep operationsrobot trajectory planning

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Numerical interpolation (65D05) Robot dynamics and control of rigid bodies (70E60) General harmonic expansions, frames (42C15) Computer-aided design (modeling of curves and surfaces) (65D17)

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