Ziyan Luo
Papers
1
Total Citations
20
H-Index
1
About
Ziyan Luo is a leading figure in the mathematical foundations of robotics and control theory, with a primary focus on dual quaternion matrix analysis and optimization. Her groundbreaking work on the spectral theory of dual quaternion matrices, particularly her 2021 paper "Eigenvalues and Singular Values of Dual Quaternion Matrices" (20 citations), provides essential tools for representing and analyzing the poses of multiple robotic systems over time. By introducing right and left eigenvalues for square dual quaternion matrices, Luo has established a rigorous algebraic framework that enables more precise modeling of rigid body motions in robotics and computer vision. Her research bridges abstract algebra with practical engineering applications, offering new methods for solving complex problems in multi-robot coordination and 3D registration. Luo's contributions are increasingly recognized as foundational for advancing the mathematical underpinnings of modern robotics, making her work indispensable for researchers developing next-generation autonomous systems.
Research Focus
Key Achievements
Top Papers
- 1Eigenvalues and Singular Values of Dual Quaternion Matrices20 citations · 2021