脊柱三维运动和畸形描述方法的比较研究
Three-dimension motion and deformity of spine: a comparative study of description methods
目的 比较研究投影角法、欧拉角法、螺旋轴法和弯扭角法4种方法在脊柱三维运动和畸形描述中的应用。 方法 在计算基础上精确绘制4种方法的三维示意图，比较分析各方法的特点，并探讨各方法在脊柱三维运动和畸形描述方面的优势和不足。 结果 投影角法的三维描述能力存在一些不足，欧拉角法和螺旋轴法三维描述能力好且表述方式唯一，弯扭角法是比较符合实际的特殊欧拉角。 结论 各方法的数值结果作为评价指标的意义需要进一步研究，但在特发性脊柱侧弯病因研究、虚拟仿真手术和机械臂辅助矫形等方面具有价值。
Objective To compare the projection angles method, the Euler angles method, the helical axis method and the tilt/twist angles method for their uses of the description of 3D spinal motion and deformity. Methods 3D Schematic diagrams of the four description methods based on precise calculation were drawn, the features of the methods are compared with their strengths, weaknesses discussed. Results In 3D description, the projection method has shortcomings but the Euler method and the helical axis method have superiority. The tilt/twist method is Euler method which is in special sequence but fits reality more. Conclusions Though the practical significance of the numerical results need further investigation, these methods are of value to etiology, simulated surgery and robot-assisted surgery of idiopathic scoliosis.
投影角 / 欧拉角 / 螺旋角 / 特发性脊柱侧弯 / 矫形 / 生物力学
Projection angels / Euler angles / Helical angles / Idiopathic scoliosis / Orthopaedics / Biomechanics
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