Some variations of dual Euler-Rodrigues formula with an application to point-line geometry

DOI10.1016/J.JMAA.2017.11.020zbMath1380.51011OpenAlexW2769646452MaRDI QIDQ1684811

Derya Kahveci, Ismail Gök, Yusuf Yayli

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.020

zbMATH Keywords

point-line geometrydual quaternionsscrew motiondual Lie algebradual Euler-Rodrigues formuladual Lie groups

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Duality theorems for locally compact groups (22D35) Kinematic spaces (51J15)

Related Items (1)

The Application of Euler-Rodrigues Formula over Hyper-Dual Matrices

Cites Work

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• Dual split quaternions and screw motion in Minkowski 3-space
• On point-line geometry and displacement
• Dual split quaternions and Chasles' theorem in 3-dimensional Minkowski space
• Clifford Algebras
• Advances in Robot Kinematics
• The geometrical and algebraic interpretations of Euler–Rodrigues formula in Minkowski 3-space
• Geometric Fundamentals of Robotics
• Quaternions and matrices of quaternions

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