Factorization of Motions

Josef Schicho ()
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Josef Schicho: Austrian Academy of Sciences, RICAM Linz

A chapter in Computer Mathematics, 2014, pp 9-11 from Springer

Abstract: Abstract We define motion polynomials as polynomials with coefficients in the dual quaternions and study their factorizations. The motion polynomials correspond to motions in 3D space, and factoring into linear factors means to compose the motion into translations and rotations.

Keywords: Polynomial Motion; Dual Quaternion; Bennett Linkage; Irreducible Quadratic Factors; Average Polynomial (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-662-43799-5_2

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