Exponential and Cayley maps for dual quaternions

DOI10.1007/S00006-010-0229-5zbMath1215.70007OpenAlexW2041649107MaRDI QIDQ605305

J. M. Selig

Publication date: 23 November 2010

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: http://researchopen.lsbu.ac.uk/30/1/seligRev1.pdf

zbMATH Keywords

Cayley mapexponential mapdual quaternions

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Clifford algebras, spinors (15A66) Lie groups (22E99) Quadratic spaces; Clifford algebras (11E88)

Related Items (6)

Motor parameterization ⋮ On elliptical motions on a general ellipsoid ⋮ Functional calculus for dual quaternions ⋮ The adjoint trigonometric representation of displacements and a closed‐form solution to the IKP of general 3C chains ⋮ Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation -- no shear locking ⋮ Cayley formula in Minkowski space-time

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