2012
DOI: 10.1080/10255842.2010.545821
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Abstract: Functional Alignment is a new method to determine the orientation of a joint's primary rotational axis and the associated movement. It employs three unique concepts. First, data analyses are based upon assessment of spatial positions and not upon movement in a time sequence. Second, analyses are conducted on derived joint rotation matrices instead of tracked markers. This permits reanalysis of published biomechanical results and, therefore, provides a basis for unifying perspectives among different research ef… Show more

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Cited by 8 publications
(8 citation statements)
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“…There are, however, several methods available for the estimation of the axis of rotation based on 3D landmarks, especially in the area of biomechanics (Halvorsen et al, 1999;Rancourt et al, 2000;Rivest, 2001; Gamage and Lasenby, 2002;Teu and Kim, 2006;Rivest et al, 2008;Ball and Greiner, 2012). In the statistical literature, estimation of rotation matrices has been studied in terms of spherical regression and its generalizations (Chang, 1986(Chang, , 1988(Chang, , 1989Chapman et al, 1995;Rivest, 1989Rivest, , 1998Rivest, , 2006Chang and Rivest, 2001).…”
Section: S-repmentioning
confidence: 99%
See 1 more Smart Citation
“…There are, however, several methods available for the estimation of the axis of rotation based on 3D landmarks, especially in the area of biomechanics (Halvorsen et al, 1999;Rancourt et al, 2000;Rivest, 2001; Gamage and Lasenby, 2002;Teu and Kim, 2006;Rivest et al, 2008;Ball and Greiner, 2012). In the statistical literature, estimation of rotation matrices has been studied in terms of spherical regression and its generalizations (Chang, 1986(Chang, , 1988(Chang, , 1989Chapman et al, 1995;Rivest, 1989Rivest, , 1998Rivest, , 2006Chang and Rivest, 2001).…”
Section: S-repmentioning
confidence: 99%
“…The estimation of two rotation axes of the knee joint is a well-studied problem in biomechanics (e.g., Ball and Greiner (2012)). The two estimated rotation axes model the primary and secondary rotation axes of the upper and lower leg relative to each other.…”
Section: Application To Knee Motion During Gaitmentioning
confidence: 99%
“…(See Figure 6 for a diagram of the bones in the foot and ankle region.) Orientations were collected for six human subjects, four chimpanzee subjects, and seven baboon subjects, and the base alignment matrix corresponding to the primary rotational axis (see [Ball and Greiner 2012]) was used in the three-dimensional permutation test to compare species.…”
Section: Application To Ankle Joint Rotation Datamentioning
confidence: 99%
“…In the literature, numerous methods have been proposed to reduce this error in the pre-data recording phase (e.g., Noehren et al [2010] for a review and an example). In contrast the literature on corrections during the post-data recording phase is sparse; to the best of our knowledge these methods are covered by Woltring [1994], Rivest [2005], Ball and Greiner [2012] and Baudet et al [2014] and all of them have limitations as we will discuss in Section 3.2. Therefore, we will present in Chapter 3 a new post-data recording solution to this effect.…”
Section: Data and Its Acquisitionmentioning
confidence: 99%
“…It turns out that these effects can be described as a Lie group action on the data space X of the Lie group S = I 0 SO(3) × Diff + [0, 1] the Cartesian product of a certain subgroup I 0 SO(3) of the isometry group of SO(3) (see Definition 1.1.4) with the group of monotone increasing diffeomorphisms Diff + [0, 1] (see Formula (1.6)). Although time warping is currently used in biomechanics and the marker placement effect is known as correctable by multiplying rotation matrices from each side to the observed curves (e.g., Rivest [2005] and Ball and Greiner [2012]) there exists no clear exposure, and the connection to isometries of SO(3) (see Theorem 1.1.7) was not known. In consequence, the reliability of gait analysis data is still discussed in the literature.…”
Section: Data and Its Acquisitionmentioning
confidence: 99%