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Modeling spatial displacements using Clifford algebra


Reference:

Mullineux, G., 2004. Modeling spatial displacements using Clifford algebra. Journal of Mechanical Design, 126 (3), pp. 420-424.

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Official URL:

http://dx.doi.org/10.1115/1.1701876

Abstract

This paper looks at the use of a Clifford (or geometric) algebra for handling both rotations and translations in Euclidean space. The algebra is constructed over the real numbers using four basis vectors. Three of these generate a subalgebra which models three-dimensional space; the fourth acts as a projective coordinate. Spatial displacements are represented by bivectors of a certain form. The application to the generation of smooth motions using Bezier and B-spline techniques is illustrated.

Details

Item Type Articles
CreatorsMullineux, G.
DOI10.1115/1.1701876
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
RefereedYes
StatusPublished
ID Code2233
Additional InformationID number: ISI:000222513500007

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