The parameterization of a rigid-body motion can be done using multiple algebraic entities. A very important criterion when choosing a parameterization method is the number of algebraic equations and variables. Recently, orthogonal dual tensors and dual quaternion proved to be a complete tool for computing rigid body displacement and motion parameters. The present research is focused on developing new methods for recovering kinematic data when the state of features attached to a body during a rigid displacement is available. The proof of concept is sustained by computational solutions both for the singularity-free extraction of a dual quaternion from feature-based representation of motion and for the recovery algorithms of the dual quaternion.
Singularity-Free Extraction of a Dual Quaternion from Orthogonal Dual Tensor
Springer Proceedings in Advanced Robotics
International Symposium on Advances in Robot Kinematics ; 2020 ; Ljubljana, Slovenia December 06, 2020 - December 10, 2020
2020-07-18
8 pages
Article/Chapter (Book)
Electronic Resource
English
Quaternion Singularity Revisited
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