Title :
Plucker basis vectors
Author :
Featherstone, Roy
Author_Institution :
Dept. of Inf. Eng., Australian Nat. Univ., Canberra, ACT
Abstract :
6-D vectors are routinely expressed in Plucker coordinates; yet there is almost no mention in the literature of the basis vectors that give rise to these coordinates. This paper identifies the Plucker basis vectors, and uses them to explain the following: the relationship between a 6-D vector and its Plucker coordinates, the relationship between a 6-D vector and the pair of 3-D vectors used to define it, and the correct way to differentiate a 6-D vector in a moving coordinate system
Keywords :
robots; vectors; 6D vector; Plucker basis vectors; rigid body system; robot mechanism; Acceleration; Concrete; Linear algebra; Robot kinematics; Terminology; Vectors;
Conference_Titel :
Robotics and Automation, 2006. ICRA 2006. Proceedings 2006 IEEE International Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-9505-0
DOI :
10.1109/ROBOT.2006.1641982