On the Computation of the Average of Planar Displacements.
Averaging displacements
means and variance
planar quaternions
Journal
Proceedings of the 2022 USCToMM Symposium on Mechanical Systems and Robotics. USCToMM Symposium on Mechanical Systems and Robotics (2nd : 2022 : Rapid City, S.D.)
Titre abrégé: Proc 2022 USCToMM Symp Mech Syst Robot (2022)
Pays: Switzerland
ID NLM: 9918882189006676
Informations de publication
Date de publication:
2022
2022
Historique:
medline:
1
1
2022
pubmed:
1
1
2022
entrez:
20
9
2024
Statut:
ppublish
Résumé
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.
Identifiants
pubmed: 39301434
doi: 10.1007/978-3-030-99826-4_20
pmc: PMC11412073
doi:
Types de publication
Journal Article
Langues
eng