understanding orientation and rotation in deformity c orrection
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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 - PowerPoint PPT PresentationTRANSCRIPT
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Understanding Orientation and Rota-tion in Deformity Correction
MS Park JH Lee
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Shoulder motion• Anatomic position• Forward elevation• Abduction/adduction• Internal/external rota-
tion
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• Forward elevated about 180 degrees, + abducted 180 degrees– Palm : faced poste-
riorly • Forward elevated
360 degrees– Palm : faced anteri-
orly
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Codman paradox
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• 견관절의 “회전운동” 없이 운동이 일어났으나 운동 후 제자리로 돌아왔을 때 “회전운동”이 일어난 상태
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• Increased anteversion• Coxa valga
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• Varization • Derotation
• Extended?
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Why did it happen?
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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
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• The change of the orientation after the combination of two rotations with different axes
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Purpose of this study• To provoke the attention for the concept of
orientation and rotation to orthopedic sur-geons
• Demonstrate the practical guideline for de-formity correction by affine geometry
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Codman paradox
수학적 이해
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• 인체에서는 x,y,z 를 어느 방향으로 정의를 하는지 ?
• 일단 손바닥 방향을 x 축 방향으로 보고 , 머리쪽을 y 축 , 외측을 z 로 본다면 ,
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• 3x3 직교 좌표계• Forward elevation 180 도
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• Abduction 180 도
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• Forward elevation 360 도
만약 forward elevation 만 360 도 한다면 , 항등원
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• 만약 45 forward elevation 을 하고 45 abduction 한다면 ,
• ( 여기서 abduction 은 축이 다릅니다 .)• 회전”은 어느 정도 되는 것인가 ?
• Forward elevation 함에 따라 축이 달라진다 . ( 축이 따라 움직인다 .) – x,y,z 축이 기준이 아닐 경우의 회전 변환
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Quaternion ?
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• Closed wedge • Derotation after varization
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• Frontal plane• Sagittal plane
• Rotation 은 어떨까 ?
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• 변형 교정에서의 응용
–임상 상황에 따른 수학적 해석이 필요 .
–각 상황에 따른 임상적인 차이가 있는지 제시 .
– Guideline 은 표 형식으로 .