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Journal ArticleDOI

A mathematical approach for three-dimensional analysis of the mechanics of the spine.

TLDR
A mathematical approach, which in conjunction with a recently developed roentgenologic technique allows for a complete analysis of the motion and is possible to express motion in the construction and concept of the helical axis of motion.
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This article is published in Journal of Biomechanics.The article was published on 1971-05-01. It has received 89 citations till now.

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Citations
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New in vivo measurements of pressures in the intervertebral disc in daily life.

TL;DR: It is cautiously concluded that the intradiscal pressure during sitting may in fact be less than that in erect standing, that muscle activity increases pressure, that constantly changing position is important to promote flow of fluid to the disc, and that many of the physiotherapy methods studied are valid, but a number of them should be re-evaluated.
Journal ArticleDOI

A least-squares algorithm for the equiform transformation from spatial marker co-ordinates

TL;DR: An algorithm for estimating the translation vector and the rotation matrix of a moving body from noisy measurements on the spatial co-ordinates of at least three non-collinear markers is described.
Journal ArticleDOI

Justification of triaxial goniometer for the measurement of joint rotation.

TL;DR: Considering all factors in joint functional evaluation, the modified triaxial goniometer is a useful and effective method to provide simple real time three-dimensional angular motion measurements.
Journal ArticleDOI

A technique for measurement and description of three-dimensional six degree-of-freedom motion of a body joint with an application to the human spine.

TL;DR: This technique, although especially developed for the in vitro study of the three-dimensional flexibility measurements of the spine segments, may be advantageously utilized in other situations where small three- dimensional motion needs to be studied with high accuracy and in real-time.
Journal ArticleDOI

Centers and angles of rotation of body joints: A study of errors and optimization

TL;DR: In this paper, an algorithm is presented for computing the coordinates of the center of rotation (CR) and the angle of rotation from the x, y coordinate measurements of two point markers on a moving body in two different positions.
References
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Journal ArticleDOI

A mathematical model of spinal response to impact.

TL;DR: A discrete-parameter model of the human body under a variety of impact situations is developed, emphasizing the spine as the main load-carrying element, and results show that bending deformations of the spinal column appreciably affect the overall body response.
Journal ArticleDOI

A mathematical model for the study of the mechanics of the human vertebral column.

TL;DR: It is shown that the vertebral column is not geometrically constrained to have patterns of motion, but can achieve many configurations in a variety of ways.
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