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关于平面位移平均值的计算

On the Computation of the Average of Planar Displacements.

作者信息

Jeffrey Ge Q, Yu Zihan, Arbab Mona, Langer Mark P

机构信息

Department of Mechanical Engineering, Stony Brook University, Stony Brook, New York, USA.

Department of Radiation Oncology, Indiana University, Indianapolis, Indiana.

出版信息

Proc 2022 USCToMM Symp Mech Syst Robot (2022). 2022;118:232-242. doi: 10.1007/978-3-030-99826-4_20. Epub 2022 Apr 1.

Abstract

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.

摘要

在本文中,我们给出了平面位移的四种参数表示形式,并研究了如何使用这些表示形式从一组给定的平面位移中计算平均位移的问题。结果表明,通过使用平面四元数和相对位移的概念可以得到最优平均位移。文中给出了示例以展示这些方法的比较。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5530/11412073/46ff2be878a9/nihms-2018217-f0001.jpg

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