In this paper, we present four parametric representations of a planar displacements and studied the problem of how to compute the average displacement from a set of given planar displacements using these representations. It has been shown that the optimal average displacement is obtained by using planar quaternions and the concept of relative displacements. Examples are provided to show the comparisons of these methods.
On the Computation of the Average of Planar Displacements
Mechan. Machine Science
USCToMM Symposium on Mechanical Systems and Robotics ; 2022 ; Rapid City, SD, USA May 19, 2022 - May 21, 2022
Proceedings of the 2022 USCToMM Symposium on Mechanical Systems and Robotics ; Kapitel : 20 ; 232-242
2022-04-01
11 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
On the Computation of the Average of Planar Displacements
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