Free-form additive motions using conformal geometric algebra

Mat Hunt; Glen Mullineux; Robert J. Cripps; Ben Cross

doi:10.1177/0954406217707777

Free-form additive motions using conformal geometric algebra

Mat Hunt, Glen Mullineux, Robert J. Cripps, Ben Cross

Department of Mechanical Engineering

University of Birmingham

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

1 Citation (SciVal)

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 defined using conformal geometric algebra, it is natural to combine poses multiplicatively. Additive combinations offer alternative freedoms in design and avoid dealing with noninteger exponents. This paper investigates additive combinations and shows how to modify the conventional conformal geometric algebra definitions to allow such combinations to be well-defined. The additive and multiplicative approaches are compared and in general they generate similar motions, with the additive approach offering computational simplicity.

Original language	English
Pages (from-to)	1560-1571
Number of pages	12
Journal	Proceedings of the Institution of Mechanical Engineers, 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 - 1 May 2018

Keywords

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

ASJC Scopus subject areas

Mechanical Engineering

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10.1177/0954406217707777

Cite this

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KW - motion curves

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Free-form additive motions using conformal geometric algebra

Abstract

Keywords

ASJC Scopus subject areas

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Algebraic Modelling of 5-axis Tool Path Motions

Glen Mullineux

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Free-form additive motions using conformal geometric algebra

Abstract

Keywords

ASJC Scopus subject areas

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Fingerprint

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Algebraic Modelling of 5-axis Tool Path Motions

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Glen Mullineux

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