Modeling spatial displacements using Clifford algebra

G Mullineux

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)420-424
Number of pages5
JournalJournal of Mechanical Design
Volume126
Issue number3
DOIs
Publication statusPublished - 2004

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