@inproceedings{d27f0fd7987442b49a1656fbc3f87857,
title = "On the Construction of Kinematic Confidence Ellipsoids for Uncertain Spatial Displacements",
abstract = "This paper deals with the problem of estimating confidence regions of a set of uncertain spatial displacements for a given level of confidence or probabilities. While a direct application of the commonly used statistic methods to the coordinates of the moving frame is straightforward, it is also the least effective in that it grossly overestimate the confidence region. Based on the dual-quaternion representation, this paper introduces the notion of the kinematic confidence ellipsoids as an alternative to the existing method called rotation and translation confidence limit (RTCL). An example is provided to demonstrate how the kinematic confidence ellipsoids can be computed.",
keywords = "Confidence ellipsoids, Confidence level, Mean and variance, Spatial displacements",
author = "Zihan Yu and Ge, \{Qiaode Jeffrey\} and Langer, \{Mark P.\} and Mona Arbab",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.; 16th International Federation of Theory of Machines and Mechanisms World Congress, IFToMM WC 2023 ; Conference date: 05-11-2023 Through 09-11-2023",
year = "2023",
doi = "10.1007/978-3-031-45705-0\_75",
language = "English",
isbn = "9783031457043",
series = "Mechanisms and Machine Science",
publisher = "Springer Science and Business Media B.V.",
pages = "777--785",
editor = "Masafumi Okada",
booktitle = "Advances in Mechanism and Machine Science - Proceedings of the 16th IFToMM World Congress 2023—Volume 1",
}