Motor Algebra for 3D Kinematics: The Case of the Hand-Eye Calibration
Journal of Mathematical Imaging and Vision
Journal of Intelligent and Robotic Systems
Dual-quaternion-based variable structure control: a new approach and application
ICIRA'10 Proceedings of the Third international conference on Intelligent robotics and applications - Volume Part II
| Hi-index | 0.00 |
Three methods for the formulation of the kinematic equations of robots with rigid links are presented in this paper. The first and most common method in the robotics community is based on 4×4 homogeneous matrix transformation, the second one is based on Lie algebra, and the third one on screw theory expressed via dual quaternions algebra. These three methods are compared in this paper for their use in the kinematic analysis of robot arms. The basic theory and the transformation operators, upon which every method is based, are referenced. Three analytic algorithms are presented for the solution of the direct kinematic problem corresponding to each method, and the geometric significance of the transformation operators and parameters is explained. Finally, a comparative study on the computation and storage requirements for the three methods is worked out