1st Joint ESMAC-GCMAS Meeting - Análise de Marcha
1st Joint ESMAC-GCMAS Meeting - Análise de Marcha
1st Joint ESMAC-GCMAS Meeting - Análise de Marcha
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O-09<br />
THE SYMMETRICAL AXIS OF ROTATION APPROACH (SARA) FOR<br />
DETERMINATION OF JOINT AXES IN CLINICAL GAIT ANALYSIS<br />
Taylor, William, Ph.D.1, Ehrig, Rainald, Ph.D.2, Duda, Georg, Ph.D.1, Heller, Markus, Ph.D.1<br />
1 Center for Musculoskeletal Research, Charité - Universitätsmedizin, Berlin, Germany<br />
2 Zuse Institute Berlin, Berlin, Germany<br />
Summary/conclusions<br />
The goal of the study was to <strong>de</strong>velop and evaluate a new technique, the Symmetrical Axis of<br />
Rotation approach (SARA) for <strong>de</strong>termining the axis of rotation in e.g. knee joints during gait.<br />
This approach, capable of simultaneously consi<strong>de</strong>ring two dynamic body segments, produced<br />
the best axis, when compared against literature methods using generated data. Application of<br />
this method in gait analysis should lead to improved clinical diagnosis and monitoring.<br />
Introduction<br />
Axes of rotation e.g. at the knee, are often generated from clinical gait analysis data to be used<br />
in the assessment of the severity of kinematic abnormalities, the diagnosis of disease, or the<br />
ongoing monitoring of a patient’s condition. Currently available methods to <strong>de</strong>scribe joint<br />
motion from segment marker positions share the problem that when one segment is<br />
transformed into the coordinate system another, measurement errors and artefacts associated<br />
with motion of the markers relative to the bone are magnified [1]. We hypothesize that by<br />
calculating the axis of rotation using a method that can consi<strong>de</strong>r the movement of two dynamic<br />
body segments simultaneously, it should be possible to <strong>de</strong>termine a unique axis of rotation<br />
more accurately than currently available methods. The goal of this study was therefore to<br />
<strong>de</strong>velop a new robust approach that avoids the aforementioned problems and to compare its<br />
performance with a number of previously proposed techniques.<br />
Statement of clinical significance<br />
Gait analysis can allow the assessment and diagnosis of kinematic irregularities or <strong>de</strong>formities<br />
that may be unobservable even to a skilled clinician. Improvement in the accuracy of methods<br />
to <strong>de</strong>termine the axis of rotation will enhance the assessment and monitoring of kinematic<br />
abnormalities.<br />
Methods<br />
A virtual hinge joint was created for which marker positions were generated computationally.<br />
The two segments of the joint rotated around a common axis within a <strong>de</strong>fined angular range of<br />
motion (RoM), resulting in circular plane arcs. On each segment, 4 markers were attached<br />
approximately 10 to 15 cm distant from the axis. Marker positions were then randomly<br />
distributed around the arc and within different RoMs. In addition, the whole joint configuration<br />
was able to randomly translate in space, simulating a non-stationary AoR. The following<br />
approaches were employed to <strong>de</strong>termine the AoR:<br />
- Algebraic Axis Fit (Circle fitting) [2]<br />
This technique presupposes that the AoR is fixed with respect to global coordinates.<br />
- Mean Helical Axis [3]<br />
This algorithm assumes that one segment remains stationary and <strong>de</strong>scribes the<br />
movements as rotations around and translations parallel to the helical axis.<br />
Transformation Methods: Transformation methods assume that the AoR is stationary only in<br />
each segment’s local coordinates. Assuming at least 3 markers are present, then it is possible to<br />
transform from the global into time <strong>de</strong>pen<strong>de</strong>nt local coordinate systems.<br />
- Schwartz Transformation Technique (STT) [4]<br />
This approach <strong>de</strong>termines the median of multiple pair-wise calculated axes.<br />
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