English

An introduction to using dual quaternions to study kinematics

Robotics 2025-05-19 v5

Abstract

We explain the use of dual quaternions to represent poses, twists, and wrenches.

Cite

@article{arxiv.2203.13653,
  title  = {An introduction to using dual quaternions to study kinematics},
  author = {Stephen Montgomery-Smith and Cecil Shy},
  journal= {arXiv preprint arXiv:2203.13653},
  year   = {2025}
}

Comments

Added a natural explanation for how a unit dual quaternion acts upon a vector. arXiv admin note: substantial text overlap with arXiv:2202.09268

R2 v1 2026-06-24T10:25:56.183Z