\( C^1\) and \(G^1\) continuous rational motions using a conformal geometric algebra

DOI10.1016/j.cam.2022.114280OpenAlexW4220698483WikidataQ113878730 ScholiaQ113878730MaRDI QIDQ2141585

Robert J. Cripps, Glen Mullineux, Benjamin Cross

Publication date: 25 May 2022

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.2022.114280

zbMATH Keywords

quaternionsgeometric algebrageometric continuitydual quaternionsmotion designrational motion

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Kinematics of mechanisms and robots (70B15) Numerical interpolation (65D05) Clifford algebras, spinors (15A66) Computer-aided design (modeling of curves and surfaces) (65D17)

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• Efficient robust approximation of the generalised Cornu spiral
• Determining conformal transformations in Rn from minimal correspondence data
• On the Homogeneous Model of Euclidean Geometry
• Rigid-Body Transforms Using Symbolic Infinitesimals

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