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Nonlinear Analysis of Directional Mo...

ProQuest Information and Learning Co.

Nonlinear Analysis of Directional Motion.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Nonlinear Analysis of Directional Motion./
Author:	Rasquinha, Brian J.
Description:	1 online resource (136 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.
Contained By:	Dissertation Abstracts International78-01B(E).
Subject:	Mechanical engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9781369103434

Nonlinear Analysis of Directional Motion.
Rasquinha, Brian J.

Nonlinear Analysis of Directional Motion. - 1 online resource (136 pages)

Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Directional data can be represented as unit vectors. This representation defines a nonlinear geometry, in which directions can be considered as points on the unit sphere. A consistent analysis of directional data would measure distances, calculate means, and describe variations along the surface of the sphere, rather than deviating from the surface using more common Euclidean measures.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369103434Subjects--Topical Terms:

557493
Mechanical engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Nonlinear Analysis of Directional Motion.
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035 $a (MiAaPQ)AAI10155258
035 $a AAI10155258
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Rasquinha, Brian J. $3 1180261
245 1 0 $a Nonlinear Analysis of Directional Motion.
264 0 $c 2016
300 $a 1 online resource (136 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.
500 $a Adviser: Randy E. Ellis.
502 $a Thesis (Ph.D.) $c Queen's University (Canada) $d 2016.
504 $a Includes bibliographical references
520 $a Directional data can be represented as unit vectors. This representation defines a nonlinear geometry, in which directions can be considered as points on the unit sphere. A consistent analysis of directional data would measure distances, calculate means, and describe variations along the surface of the sphere, rather than deviating from the surface using more common Euclidean measures.
520 $a Some nonlinear analysis methods developed for statistical shape models use a mapping from a nonlinear geometry to a linear tangent space, where familiar principal component analysis can be applied. In biomechanics, linear principal component analysis has been used to analyze directional motions encoded as high-dimensional points; however, this approach does not account for the spherical structure of these data.
520 $a In this work, these concepts are combined in a novel motion analysis method, Nonlinear Analysis of Directional Motion. The method was applied to quasi-elliptical motions in a set of one-parameter simulations; it was also applied to wrist circumduction of healthy subjects. The small-circle model, which fits circles smaller than the diameter of a sphere, was used as the comparative standard.
520 $a In simulation, the nonlinear method out-performed small-circle fitting using one component; this method also accurately captured the number of parameters of the data. Analyzing wrist circumduction, the method produced a five-parameter model, with lower fitting error than the small-circle model after two components. Nonlinear directional analysis also described differences between clockwise and counter-clockwise senses of circumduction in these healthy subjects.
520 $a Nonlinear analysis of directional motion was demonstrated to provide an accurate model of circumduction with few parameters. This method may be useful for describing kinematic differences in any mechanism that has variable, multi-axial motion.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mechanical engineering. $3 557493
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0548
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Queen's University (Canada). $3 1148613
773 0 $t Dissertation Abstracts International $g 78-01B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10155258 $z click for full text (PQDT)

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