Fundamentals of quaternionic kinematics in Euclidean 4-space

DOI10.1007/s00006-015-0613-2zbMath1351.53018OpenAlexW2187790236MaRDI QIDQ297585

Georg Nawratil

Publication date: 27 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0613-2

zbMATH Keywords

quaternionic matrixquaternionEuclidean 4-spaceinstantaneous screwkinematic mapping

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Differential geometric aspects in kinematics (53A17)

Related Items (3)

Quaternionic approach to equiform kinematics and line-elements of Euclidean 4-space and 3-space ⋮ Alternative Interpretation of the Plücker Quadric’s Ambient Space and Its Application ⋮ Unnamed Item

Cites Work

• Kinematic mappings for Cayley-Klein geometries via Clifford algebras
• The quaternion formalism for Möbius groups in four or fewer dimensions
• On the comparisons of unit dual quaternion and homogeneous transformation matrix
• Quaternionic approach to equiform kinematics and line-elements of Euclidean 4-space and 3-space
• Geometric algebras for Euclidean geometry
• Zur Bewegungsgeometrie in Räumen höherer Dimension
• New Tools for Computational Geometry and Rejuvenation of Screw Theory
• Zur Schraubung im vierdimensionalen euklidischen Raum.
• Darboux motions in $E_n$
• Geometric Fundamentals of Robotics
• Quaternions and Reflections
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Computational line geometry
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