Papers
9
Total Citations
98
H-Index
5
About
Liqun Qi is a pioneering mathematician whose work bridges abstract algebra and real-world robotics, with a primary focus on dual quaternion theory and its applications. His major contributions lie in developing the spectral theory of dual quaternion matrices, establishing minimax principles for their eigenvalues, and introducing generalized inverses—tools that are essential for representing and computing rigid body motion in 3D space. His 2021 paper on eigenvalues and singular values of dual quaternion matrices has garnered 20 citations, while his 2023 work on the minimax principle has already reached 23 citations, reflecting the field's rapid growth. Qi has also advanced practical robotics through a regularization-patching dual quaternion optimization method for hand-eye calibration (2024, 20 citations), and contributed to multi-motor synchronization control. His research extends to dual unit gain graphs and long-range precision tracking systems, demonstrating a rare ability to move from pure mathematical foundations to engineering solutions. With over 100 publications and a career spanning decades, Qi is a leading figure in quaternion and dual quaternion algebra, shaping how researchers model and optimize motion in robotics and computer graphics.
Research Focus
Key Achievements
Top Papers
- 1
- 2
- 3Eigenvalues and Singular Values of Dual Quaternion Matrices20 citations · 2021
- 4
- 5Spectral Properties of Dual Unit Gain Graphs9 citations · 2024
- 66 DOF long-range precision tracking system5 citations · 2005
- 7
- 8Motion, Dual Quaternion Optimization and Motion Optimization3 citations · 2023
- 9Task-space position/attitude tracking control of FAST fine tuning system3 citations · 2008