Stefan Kratzenstein

The SCoRE residual: a quality index to assess the accuracy of joint estimations.

The determination of an accurate centre of rotation (CoR) from skin markers is essential for the assessment of abnormal gait patterns in clinical gait analysis. Despite the many functional approaches to estimate CoRs, no non-invasive analytical determination of the error in the reconstructed joint location is currently available. The purpose of this study was therefore to verify the residual of the symmetrical centre of rotation estimation (SCoRE) as a reliable indirect measure of the error of the computed joint centre. To evaluate the SCoRE residual, numerical simulations were performed to evaluate CoR estimations at different ranges of joint motion. A statistical model was developed and used to determine the theoretical relationships among the SCoRE residual, the magnitude of the skin marker artefact, the corrections to the marker positions, and the error of the CoR estimations to the known centre of rotation. We found that the equation err=0.5r(s) provides a reliable relationship among the CoR error, err, and the scaled SCoRE residual, r(s), providing that any skin marker artefact is first minimised using the optimal common shape technique (OCST). Measurements on six healthy volunteers showed a reduction of SCoRE residual from 11 to below 6mm and therefore demonstrated consistency of the theoretical considerations and numerical simulations with the in vivo data. This study also demonstrates the significant benefit of the OCST for reducing skin marker artefact and thus for predicting the accuracy of determining joint centre positions in functional gait analysis. For the first time, this understanding of the SCoRE residual allows a measure of error in the non-invasive assessment of joint centres. This measure now enables a rapid assessment of the accuracy of the CoR as well as an estimation of the reproducibility and repeatability of skeletal motion patterns.

The weighted optimal common shape technique improves identification of the hip joint center of rotation in vivo.

Functional methods present a promising approach for the identification of skeletal kinematics, but their accuracy is limited by soft tissue artifacts (STAs). We hypothesized that consideration of the nonuniform distribution of STAs across the segment can lead to a significant improvement in the determination of the center of rotation at the hip. Twenty‐four total hip arthroplasty (THA) patients performed repetitions of a star‐arc movement. The location of the hip centers of rotation (CoRs) were estimated from the motion data using the Symmetrical Center of Rotation Estimation (SCoRE), both with and without procedures to minimize the effect of STAs. The precision of the CoR estimations was evaluated using the SCoRE residual, a measure of joint precision. Application of the newly developed weighted Optimal Common Shape Technique (wOCST) achieved the best CoR estimations with a precision of better than 3 mm, while the precision using raw data alone was up to seven times worse. Furthermore, consideration of the nonuniform distribution of STA across the surface of the skin using the wOCST produced an improvement of ∼24% over kinematics data processed using the standard OCST. Functional determination of the CoR at the hip using the newly developed wOCST can now identify the joint CoR with a precision of millimeters. Such approaches therefore offer improved precision in the assessment of skeletal kinematics and may aid in evaluating clinical treatment success and differentiating between therapy outcomes.

Effective marker placement for functional identification of the centre of rotation at the hip

The accuracy and precision of quantifying musculoskeletal kinematics, and particularly determining the centre of rotation (CoR) at the hip joint, using skin marker based motion analysis is limited by soft tissue artefact (STA). We posed the question of whether the contribution of individual markers towards improving the precision of the functional joint centre using marker based methods could be assessed, and then utilised to allow effective marker placement for determination of the CoR at the hip. Sixty-three retro-reflective skin markers were placed to encompass the thighs of seven healthy subjects, together with a set of sixteen markers on the pelvis. The weighted optimal common shape technique (wOCST) was then applied to determine the weighting, or importance, of each marker for identifying the centre of rotation at the hip. The markers with the highest weightings over all subjects and measurements were determined that identified the HJC with the highest precision. The use of six markers in selected regions (two anterior, two lateral and two posterior) allowed the HJC to be determined with a similar precision to the complete set of 63 markers, with the determined regions predominantly distant from the hip joint, excluding areas associated with the bellies of large muscles and therefore large motion artefact from muscle activity. The novel approach presented here allows an understanding of each markers contribution towards a precise joint determination, and therefore enables the targeted placement of markers for reliable assessment of musculoskeletal kinematics.