Journal
IEEE TRANSACTIONS ON ROBOTICS
Volume 30, Issue 5, Pages 1037-1048Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TRO.2014.2341312
Keywords
Biquaternions; Cayley factorization; double quaternions; dual quaternions; spatial kinematics; quaternions
Categories
Funding
- Spanish Ministry of Economy and Competitiveness through the Explora program [DPI2011-13208-E]
Ask authors/readers for more resources
Dual quaternions give a neat and succinct way to encapsulate both translations and rotations into a unified representation that can easily be concatenated and interpolated. Unfortunately, the combination of quaternions and dual numbers seems quite abstract and somewhat arbitrary when approached for the first time. Actually, the use of quaternions or dual numbers separately is already seen as a break in mainstream robot kinematics, which is based on homogeneous transformations. This paper shows how dual quaternions arise in a natural way when approximating 3-D homogeneous transformations by 4-D rotation matrices. This results in a seamless presentation of rigid-body transformations based on matrices and dual quaternions, which permits building intuition about the use of quaternions and their generalizations.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available