자연과학편 : 개별적 마커모형에 의한 표본이 회전중심 추정에 미치는 영향 = The Effect of Sample Variation from Individual Markers Models on the estimation of the Center of Rotation in Biomechanics

국문 초록 (Abstract)

STA(soft tissue artefact)는 영상분석에서 가장 많은 오차를 차지하는 부분으로 STA가 포함된 마커의 위치좌표로 관절 중심을 추정할 때 오차의 영향을 가장 덜 받는 최적의 방법을 선택하여야 한다. 본 연구의 목적은 STA 크기가 다른 모형에 의해서 다른 기능적 운동으로 생성된 자료로 적합법과 변환법에 의해 관절중심을 추정하고 비교하는 것이다. 가상의 고관절 모형에 의해서 세 가지 오차 크기와 원뿔, 별, 복합 운동의 세 가지 기능적 운동에 따른 아홉가지 처리에서 시뮬레이션 실험을 수행하였다. 연구결과 세 가지 오차모형 모두 적합법의 편의와 분산이 변환법에 비해 아주 큰 값을 보였으며, 세 가지 운동 모두 적합법의 편의와 분산이 크게 나타났다. 따라서 STA크기에 상관없이 어떠한 기능적 운동을 수행하여도 적합법보다 변환법에 의한 추정벡터가 타당도와 신뢰도가 높다고 할 수 있다.

다국어 초록 (Multilingual Abstract)

STA, soft tissue artefact, takes a huge proportion of errors in photogrammetry. In order to estimate the center of rotation of a human joint with markers having STA, one should use the optimal estimation method in various situations. The purpose of this study is to compare two method of estimating the center of rotation, fitting and transformation methods, given factors of STA magnitude and of functional movements. For combinations of three levels of STA magnitude and three levels of functional movement, each of independent 1000 simulation experiments was performed. The results showed that the bias and the variance of estimator of transformation method had smaller amount than that of fitting method. Therefor, it can be concluded that the transformation method was superior to the fitting method.

참고문헌 (Reference)

1 김진욱, "구관절 중심 추정에 대한 적합법과 변환법의 오차분석" 한국체육학회 52 (52): 523-536, 2013

2 Casella, G., "Statistical inference" Duxbury Press 2002

3 Tsai, T. Y., "Quantification of three-dimensional movement of skin markers relative to the underlying bones during functional activities. Biomedical Engineering : Applications" 21 : 223-232, 2009

4 Peters, A., "Quantification of soft tissue artifact in lower limb human motion analysis : A systematic review" 31 : 1-8, 2010

5 Rouhandeh, A., "Quantification of soft tissue artefacts using motion capture data and ultrasound depth measurements. International Journal of Medical, Health" 8 : 313-317, 2014

6 Hara, R., "Quantification of pelvic soft tissue artifact in multiple static positions" 39 : 712-717, 2014

7 De Rosario, H., "Propagation of soft tissue artifacts to the center of rotation : A model for the correction of functional calibration techniques" 46 : 2619-2625, 2013

8 Cappozzo, A., "Position and orientation in space of bones during movement : Experimental artefacts" 11 : 90-100, 1996

9 Gamage, S. S. H. U., "New least squares solutions for estimating the average center of rotation and the axis of rotation" 35 : 87-93, 2002

10 Wu, G., "ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion-part Ⅰ : ankle, hip, and spine" 35 : 543-548, 2002

11 Leardini, A., "Human movement analysis using stereophotogrammetry. Part 3. Soft tissue artifact assessment and compensation" 21 : 212-225, 2005

12 Siston, R. A., "Evaluation of a new algorithm to determine the hip joint center" 39 : 125-130, 2006

13 Begon, M., "Effects of movement for estimating the hip joint centre" 25 : 353-359, 2007

14 Shabana, A. A., "Dynamics of multibody systems" Cambridge University Press 2005

15 Pratt, "Direct least-squares fitting of algebraic surfaces" 21 : 145-152, 1987

16 Chang, L. Y., "Constrained least-squares optimization for robust estimation of center of rotation" 40 : 1392-1400, 2007

17 Piazza, S. J., "Assessment of the functional method of hip joint center location subject to reduced range of hip motion" 37 : 349-356, 2004

18 Ehrig, R. M., "A survey of formal methods for determining the centre of rotation of ball joints" 39 : 2798-2809, 2006

19 Andriacchi, T. P., "A point cluster method for in vivo motion analysis : Applied to a study of knee kinematics" 120 : 743-749, 1998

20 Ojeda, J., "A method to evaluate human skeletal models using marker residuals and global optimization" 73 : 259-272, 2014

21 Camomilla, V., "A hip joint kinematics driven model for the generation of realistic thigh soft tissue artefacts" 46 : 625-630, 2013