有限转动四元素的计算及其在人体三维转动中的应用

The Quaternion of Finite Rotation—A Effective Parameter to Analyse the Body Three Dimensional Rotation in Sports

采用坐标系与坐标系之间变换矩阵A的特征值与特征向量以及A的相似变换采求有限转动四元素(α,β,γ,θ),并用FORTRAN77语言把它编制成计算软件。该软件在应用中发现利用有限转动四元素的转轴r=(α,β,γ)和转角θ在人体三维转动中确定实际转轴和确定人体转动方向改变的研究方面有着特殊的功用。

Using the eigen value.eigen vector and similarity transformation of direction cosine matrix, we have calculated the quaternion of finite rotation （α,β,γ,θ）, and then used FORTRAN77 language to make a computing software, by which we have found the special effect of rotation axis r = （α,β,γ） and rotation angle 0 in the application of humen 3D - rotation.