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On homogeneous transforms, quaternions, and computational efficiency

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3 Author(s)
Funda, J. ; Dept. of Comput. & Inf. Sci., Pennsylvania Univ., Philadelphia, PA, USA ; Taylor, R.H. ; Paul, R.P.

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

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Robotics and Automation, IEEE Transactions on  (Volume:6 ,  Issue: 3 )