[HTML][HTML] The dual Euler-Rodrigues formula in various mathematical forms and their intrinsic relations

K Wang, JS Dai - Mechanism and Machine Theory, 2023 - Elsevier
This paper examines the variations and derivations of the dual Euler-Rodrigues formula
from various mathematical forms, including the matrix in 6× 6, the dual matrix, Lie group SE …

The adjoint trigonometric representation of displacements and a closed‐form solution to the IKP of general 3C chains

B Bongardt - ZAMM‐Journal of Applied Mathematics and …, 2020 - Wiley Online Library
Based on the representation of rigid body displacements as adjoint matrices, the article
introduces the adjoint trigonometric representation of displacements (ATRD) as a further …

On orientation, position, and attitude singularities of general 3R chains

B Bongardt, A Müller - 2nd IMA Conference on Mathematics of Robotics 2, 2022 - Springer
The characterization of the workspace for general spatial 3R chains with skew joint axes is
refined by describing the variety of singular displacements as the union of the singular …

On circle intersections by means of distance geometry

B Bongardt - Advances in Mechanism and Machine Science …, 2019 - Springer
The intersection of circles appears as a frequent subproblem in the domains of
computational kinematics and geometry. For this reason, the methods for computing its …

[引用][C] Eine vergleichende Betrachtung algebraischer Darstellungen euklidischer Transformationen im Raum

B Bongardt - 2020 - Deutsche Nationalbibliothek

[引用][C] Eine analytische Lösung der inversen Kinematik allgemeiner räumlicher Ketten mit rotativen und zylindrischen Gelenken

B Bongardt - … DA-CH Konferenz 2019: 26./27 …, 2019 - duepublico.uni-duisburg-essen.de
Eine analytische Lösung der inversen Kinematik allgemeiner räumlicher Ketten mit
rotativen und zylindrischen Gelenken Universitätsbibliothek Open Access Kontakt de en …