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Statistics of ambiguous rotations

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Statistics of ambiguous rotations. / Arnold, R.; Jupp, P. E.; Schaeben, H.

In: Journal of Multivariate Analysis, Vol. 165, 05.2018, p. 73-85.

Research output: Contribution to journalArticle

Harvard

Arnold, R, Jupp, PE & Schaeben, H 2018, 'Statistics of ambiguous rotations', Journal of Multivariate Analysis, vol. 165, pp. 73-85. https://doi.org/10.1016/j.jmva.2017.10.007

APA

Arnold, R., Jupp, P. E., & Schaeben, H. (2018). Statistics of ambiguous rotations. Journal of Multivariate Analysis, 165, 73-85. https://doi.org/10.1016/j.jmva.2017.10.007

Vancouver

Arnold R, Jupp PE, Schaeben H. Statistics of ambiguous rotations. Journal of Multivariate Analysis. 2018 May;165:73-85. https://doi.org/10.1016/j.jmva.2017.10.007

Author

Arnold, R. ; Jupp, P. E. ; Schaeben, H. / Statistics of ambiguous rotations. In: Journal of Multivariate Analysis. 2018 ; Vol. 165. pp. 73-85.

Bibtex - Download

@article{89579a1c92ad494097b9e8a61c3b5aa8,
title = "Statistics of ambiguous rotations",
abstract = "The orientation of a rigid object can be described by a rotation that transforms it into a standard position. For a symmetrical object the rotation is known only up to multiplication by an element of the symmetry group. Such ambiguous rotations arise in biomechanics, crystallography and seismology. We develop methods for analyzing data of this form. A test of uniformity is given. Parametric models for ambiguous rotations are presented, tests of location are considered, and a regression model is proposed. An example involving orientations of diopside crystals (which have symmetry of order 2) is used throughout to illustrate how our methods can be applied.",
keywords = "Frame, Orientation, Regression, Symmetric array, Symmetry, Test of location, Test of uniformity",
author = "R. Arnold and Jupp, {P. E.} and H. Schaeben",
year = "2018",
month = may,
doi = "10.1016/j.jmva.2017.10.007",
language = "English",
volume = "165",
pages = "73--85",
journal = "Journal of Multivariate Analysis",
issn = "0047-259X",
publisher = "Academic Press Inc.",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Statistics of ambiguous rotations

AU - Arnold, R.

AU - Jupp, P. E.

AU - Schaeben, H.

PY - 2018/5

Y1 - 2018/5

N2 - The orientation of a rigid object can be described by a rotation that transforms it into a standard position. For a symmetrical object the rotation is known only up to multiplication by an element of the symmetry group. Such ambiguous rotations arise in biomechanics, crystallography and seismology. We develop methods for analyzing data of this form. A test of uniformity is given. Parametric models for ambiguous rotations are presented, tests of location are considered, and a regression model is proposed. An example involving orientations of diopside crystals (which have symmetry of order 2) is used throughout to illustrate how our methods can be applied.

AB - The orientation of a rigid object can be described by a rotation that transforms it into a standard position. For a symmetrical object the rotation is known only up to multiplication by an element of the symmetry group. Such ambiguous rotations arise in biomechanics, crystallography and seismology. We develop methods for analyzing data of this form. A test of uniformity is given. Parametric models for ambiguous rotations are presented, tests of location are considered, and a regression model is proposed. An example involving orientations of diopside crystals (which have symmetry of order 2) is used throughout to illustrate how our methods can be applied.

KW - Frame

KW - Orientation

KW - Regression

KW - Symmetric array

KW - Symmetry

KW - Test of location

KW - Test of uniformity

U2 - 10.1016/j.jmva.2017.10.007

DO - 10.1016/j.jmva.2017.10.007

M3 - Article

VL - 165

SP - 73

EP - 85

JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

SN - 0047-259X

ER -

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