Title
On homogeneous transforms, quaternions, and computational efficiency
Abstract
Three-dimensional modeling of rotations and translations in robot kinematics is most commonly performed using homogeneous transforms. An alternate approach, using quaternion-vector pairs as spatial operators, is compared with homogeneous transforms in terms of computational efficiency and storage economy. The conclusion drawn is that quaternion-vector pairs are as efficient as, more compact than, and more elegant than their matrix counterparts. A robust algorithm for converting rotational matrices into equivalent unit quaternions is described, and an efficient quaternion-based inverse kinematics solution for the Puma 560 robot arm is presented
Year
DOI
Venue
1990
10.1109/70.56658
Robotics and Automation, IEEE Transactions  
Keywords
Field
DocType
kinematics,robots,transforms,3D modelling,Puma 560,computational efficiency,homogeneous transforms,inverse kinematics,quaternions,robot kinematics
Robotic arm,Kinematics,Inverse kinematics,Control theory,Matrix (mathematics),Quaternion,Robot kinematics,Control engineering,Operator (computer programming),Inverse problem,Mathematics
Journal
Volume
Issue
ISSN
6
3
1042-296X
Citations 
PageRank 
References 
42
21.46
2
Authors
3
Name
Order
Citations
PageRank
Funda, J.14221.46
Russell H. Taylor21970438.00
Paul, R.P.34221.46