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Singularity-Free Extraction of a Dual Quaternion from Orthogonal Dual Tensor

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Advances in Robot Kinematics 2020 (ARK 2020)

Part of the book series: Springer Proceedings in Advanced Robotics ((SPAR,volume 15))

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Abstract

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.

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Correspondence to Daniel Condurache .

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Condurache, D. (2021). Singularity-Free Extraction of a Dual Quaternion from Orthogonal Dual Tensor. In: Lenarčič, J., Siciliano, B. (eds) Advances in Robot Kinematics 2020. ARK 2020. Springer Proceedings in Advanced Robotics, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-50975-0_18

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