Free-form additive motions using conformal geometric algebra

Glen Mullineux; Mat Hunt; Robert Cripps; Benjamin Cross

doi:10.1177/0954406217707777

Free-form additive motions using conformal geometric algebra

Glen Mullineux, Mat Hunt, Robert Cripps, Benjamin Cross

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

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Abstract

Free-form motions in B-spline form can be created from a number of prescribed control poses using the de Casteljau algorithm. With poses dened using conformal geometric algebra (CGA), it is natural to combine poses multiplicatively. Additive combinations oer alternative freedoms in design and avoid dealing with non-integer exponents. This paper investigates additive combinations and shows how to modify the conventional CGA denitions to allow such combinations to be well-dened. The additive and multiplicative approaches are compared and in general they generate similar motions, with the additive approach oering computational simplicity.

Original language	English
Pages (from-to)	1560-1571
Journal	Institution of Mechanical Engineers. Proceedings. Part C: Journal of Mechanical Engineering Science
Volume	232
Issue number	9
Early online date	2 May 2017
DOIs	https://doi.org/10.1177/0954406217707777
Publication status	Published - May 2018

Keywords

conformal geometric algebra
free-form motion
motion curves
de Casteljau algorithm

ASJC Scopus subject areas

Industrial and Manufacturing Engineering

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10.1177/0954406217707777

Hunt_et_al_Free-form_additive_motions_Proc_Inst_Mech_Eng_Part_C
Final Version of record published as above and available at: https://doi.org/10.1177/0954406217707777 Eligibility for repository: Checked on 12/4/2017
Accepted author manuscript, 268 KBLicence: None: All rights reserved

Cite this

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AU - Cripps, Robert

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Free-form additive motions using conformal geometric algebra

Abstract

Keywords

ASJC Scopus subject areas

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