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Understanding Orientation and Rotation in Deformity C orrection

Understanding Orientation and Rotation in Deformity C orrection. MS Park JH Lee. Shoulder motion. Anatomic position Forward elevation Abduction/adduction Internal/external rotation. Forward elevated about 180 degrees, + abducted 180 degrees Palm : faced posteriorly

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Understanding Orientation and Rotation in Deformity C orrection

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  1. Understanding Orientation and Rotation in Deformity Correction MS Park JH Lee

  2. Shoulder motion • Anatomic position • Forward elevation • Abduction/adduction • Internal/external rotation

  3. Forward elevated about 180 degrees, + abducted 180 degrees • Palm : faced posteriorly • Forward elevated 360 degrees • Palm : faced anteriorly

  4. Codman paradox

  5. 견관절의 “회전운동” 없이 운동이 일어났으나 운동 후 제자리로 돌아왔을 때 “회전운동”이 일어난 상태

  6. Increased anteversion • Coxavalga

  7. Varization • Derotation • Extended?

  8. Why did it happen?

  9. Definitions • Affine geometry • Combinations of vectors(orientation) and scholars(rotation) • Orientation • The vectors, which represents where the object is headed to • Rotation • The scholar, which represent the rotating amount of the object through certain axis

  10. The change of the orientation after the combination of two rotations with different axes

  11. Purpose of this study • To provoke the attention for the concept of orientation and rotation to orthopedic surgeons • Demonstrate the practical guideline for deformity correction by affine geometry

  12. Codman paradox 수학적 이해

  13. 인체에서는 x,y,z를 어느 방향으로 정의를 하는지? • 일단 손바닥 방향을 x 축 방향으로 보고, 머리쪽을y축, 외측을 z로 본다면,

  14. 3x3 직교 좌표계 • Forward elevation 180도

  15. Abduction 180도

  16. Forward elevation 360도 만약 forward elevation만 360도한다면, 항등원

  17. 만약 45 forward elevation을 하고 45 abduction 한다면, • (여기서 abduction은 축이 다릅니다.) • 회전”은 어느 정도 되는 것인가? • Forward elevation 함에 따라 축이 달라진다. (축이 따라 움직인다.) • x,y,z축이 기준이 아닐 경우의 회전 변환

  18. Quaternion ?

  19. Closed wedge • Derotation after varization

  20. Frontal plane • Sagittal plane • Rotation은 어떨까?

  21. 변형 교정에서의 응용 • 임상 상황에 따른 수학적 해석이 필요. • 각 상황에 따른 임상적인 차이가 있는지 제시. • Guideline은 표 형식으로.

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