A new method for estimating the axis of rotation and the center of rotation

Halvorsen, Kjartan; Lesser, Martin; Lundberg, Arne

doi:10.1016/s0021-9290(99)00120-7

Cited by 133 publications

(100 citation statements)

References 4 publications

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“…An anatomical standing reference trial was recorded with the subject standing still to create the anatomical reference frames for each limb segment (foot, tibial, femur and pelvis) using the markers placed on the bony landmarks. The hip joint center was defined using a functional approach outline by Halvorsen et al, (1999). A previously described pointcluster technique (Andriacchi et al, 1998), which uses a redundant set of markers on the thigh and shank was used to estimate the rotations of the tibia with respect to the femur.…”

Section: Methodsmentioning

confidence: 99%

Kinematic adaptations to a variable stiffness shoe: Mechanisms for reducing joint loading

Boyer

Federolf

Lin

et al. 2012

Journal of Biomechanics

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Section: Methodsmentioning

confidence: 99%

Kinematic adaptations to a variable stiffness shoe: Mechanisms for reducing joint loading

Boyer

Federolf

Lin

et al. 2012

Journal of Biomechanics

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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%

Analysis of Rotational Deformations From Directional Data

Schulz¹,

Jung²,

Huckemann³

et al. 2015

Journal of Computational and Graphical Statistics

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This paper discusses a novel framework to analyze rotational deformations of real 3D objects. The rotational deformations such as twisting or bending have been observed as the major variation in some medical applications, where the features of the deformed 3D objects are directional data. We propose modeling and estimation of the global deformations in terms of generalized rotations of directions. The proposed method can be cast as a generalized small circle fitting on the unit sphere. We also discuss the estimation of descriptors for more complex deformations composed of two simple deformations. The proposed method can be used for a number of different 3D object models. Two analyses of 3D object data are presented in detail: one using skeletal representations in medical image analysis as well as one from biomechanical gait analysis of the knee joint. Supplementary Materials are available online.

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“…Other 32 simulations use real motion patterns of individual markers that have been observed in 33 previous studies (Halvorsen et al, 1999), or measured in a deformable mechanical 34 analogue (MacWilliams, 2008). However, real STA patterns can be modeled with fewer 35 variables and independently of specific marker configurations, taking into account that 36 the kinematic calculations are only affected by the rigid motion component, which is 37 usually a function of the motion cycle (De Rosario et al, 2012).…”

mentioning

confidence: 99%

Propagation of soft tissue artifacts to the center of rotation: A model for the correction of functional calibration techniques

Rosario

Page

Besa

et al. 2013

Journal of Biomechanics

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This paper presents a mathematical model for the propagation of errors in body segment kinematics to the location of the center of rotation. Three functional calibration techniques, usually employed for the gleno-humeral joint, are studied: the methods based on the pivot of the instantaneous helical axis (PIHA) or the finite helical axis (PFHA), and the "symmetrical center of rotation estimation" (SCoRE). A procedure for correcting the effect of soft tissue artifacts is also proposed, based on the equations of those techniques and a model of the artifact, like the one that can be obtained by double calibration. An experiment with a mechanical analogue was performed to validate the procedure and compare the performance of each technique. The raw error (between 57 and 68 mm) was reduced by a proportion of between 1:6 and less than 1:15, depending on the artifact model and the mathematical method. The best corrections were obtained by the SCoRE method. Some recommendations about the experimental setup for functional calibration techniques and the choice of a mathematical method are derived from theoretical considerations about the formulas and the results of the experiment.

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A new method for estimating the axis of rotation and the center of rotation

Cited by 133 publications

References 4 publications

Kinematic adaptations to a variable stiffness shoe: Mechanisms for reducing joint loading

Kinematic adaptations to a variable stiffness shoe: Mechanisms for reducing joint loading

Analysis of Rotational Deformations From Directional Data

Propagation of soft tissue artifacts to the center of rotation: A model for the correction of functional calibration techniques

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